تكلم مع الذكاء الاصطناعي
Deck 7: Additional Topics in Trigonometry
ملء الشاشة (f)
سؤال
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] ![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_7332_a291_83060a988770_TB8633_11.jpg)
![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_7333_a291_55b680dd0a5a_TB8633_00.jpg)
A)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_9a44_a291_97e8da6da4e0_TB8633_11.jpg)
B)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_9a46_a291_43744f9d7ed4_TB8633_11.jpg)
C)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_c157_a291_fbc67ff35204_TB8633_11.jpg)
D)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af65_9a45_a291_65a039a7b2b4_TB8633_11.jpg)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)17.88
B)18.18
C)15.73
D)17.57
E)16.96
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)17.88
B)18.18
C)15.73
D)17.57
E)16.96
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)33.24 sq.units
B)29.91 sq.units
C)39.89 sq.units
D)26.59 sq.units
E)36.56 sq.units
A)33.24 sq.units
B)29.91 sq.units
C)39.89 sq.units
D)26.59 sq.units
E)36.56 sq.units
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. 
A)14.32
B)15.33
C)13.31
D)21.37
E)17.34
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)14.32
B)15.33
C)13.31
D)21.37
E)17.34
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)6.33
B)5.91
C)9.27
D)7.59
E)2.54
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)6.33
B)5.91
C)9.27
D)7.59
E)2.54
سؤال
Find the magnitude of vector v. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)
C)
D)
E)not possible
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)
C)
D)
E)not possible
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)9.12
B)
C)5.87
D)10.20
E)11.64
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)9.12
B)
C)5.87
D)10.20
E)11.64
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)22.20 sq.units
B)24.67 sq.units
C)19.73 sq.units
D)29.60 sq.units
E)27.13 sq.units
A)22.20 sq.units
B)24.67 sq.units
C)19.73 sq.units
D)29.60 sq.units
E)27.13 sq.units
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
A straight road makes an angle, A, of 
with the horizontal. When the angle of elevation, B, of the sun is 
, a vertical pole beside the road casts a shadow 8 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. 
A)10.20 feet
B)3.30 feet
C)6.27 feet
D)6.63 feet
E)12.32 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 8 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)10.20 feet
B)3.30 feet
C)6.27 feet
D)6.63 feet
E)12.32 feet
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
Find the magnitude of vector v with initial point 
and terminal point 
.
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Find the vector v that has a magnitude of 
and is in the same direction as u, where 
.
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)15.33
B)11.55
C)13.44
D)7.77
E)12.02
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)15.33
B)11.55
C)13.44
D)7.77
E)12.02
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)43.69 sq.units
B)49.15 sq.units
C)54.61 sq.units
D)65.53 sq.units
E)60.07 sq.units
A)43.69 sq.units
B)49.15 sq.units
C)54.61 sq.units
D)65.53 sq.units
E)60.07 sq.units
سؤال
Given 
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)not possible
C)
D)
E)
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)not possible
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)10.00
B)7.21
C)10.93
D)
E)12.17
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)10.00
B)7.21
C)10.93
D)
E)12.17
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)34.18 sq.units
B)37.29 sq.units
C)27.97 sq.units
D)31.07 sq.units
E)24.86 sq.units
A)34.18 sq.units
B)37.29 sq.units
C)27.97 sq.units
D)31.07 sq.units
E)24.86 sq.units
سؤال
Find the component form of v if 
and the angle it makes with the x-axis is 
.
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
A straight road makes an angle, A, of 
with the horizontal. When the angle of elevation, B, of the sun is 
, a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. 
A)4.28 feet
B)1.97 feet
C)5.26 feet
D)9.60 feet
E)8.41 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)4.28 feet
B)1.97 feet
C)5.26 feet
D)9.60 feet
E)8.41 feet
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)13.27
B)9.13
C)14.65
D)13.96
E)11.89
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)13.27
B)9.13
C)14.65
D)13.96
E)11.89
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. 
A)9.25
B)13.55
C)17.84
D)10.33
E)11.40
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)9.25
B)13.55
C)17.84
D)10.33
E)11.40
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)76.18 sq.units
B)114.27 sq.units
C)95.23 sq.units
D)104.75 sq.units
E)85.70 sq.units
A)76.18 sq.units
B)114.27 sq.units
C)95.23 sq.units
D)104.75 sq.units
E)85.70 sq.units
سؤال
Let w be a vector with initial point 
and terminal point 
. Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)30.00 sq.units
B)27.00 sq.units
C)33.00 sq.units
D)36.00 sq.units
E)24.00 sq.units
A)30.00 sq.units
B)27.00 sq.units
C)33.00 sq.units
D)36.00 sq.units
E)24.00 sq.units
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] ![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_965a_a291_a3cef3fcbf5f_TB8633_11.jpg)
![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_bd6b_a291_f93a9dc32237_TB8633_00.jpg)
A)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_bd6c_a291_8f5a885dc909_TB8633_11.jpg)
B)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_e47e_a291_53c92771a41e_TB8633_11.jpg)
C)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_e47f_a291_1fce092da507_TB8633_11.jpg)
D)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af70_bd6d_a291_c53c822bcb8d_TB8633_11.jpg)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. 
A)12.33
B)17.78
C)13.69
D)23.24
E)15.06
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)12.33
B)17.78
C)13.69
D)23.24
E)15.06
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)43.69 sq.units
B)36.41 sq.units
C)29.12 sq.units
D)32.77 sq.units
E)40.05 sq.units
A)43.69 sq.units
B)36.41 sq.units
C)29.12 sq.units
D)32.77 sq.units
E)40.05 sq.units
سؤال
Let w be a vector with initial point 
and terminal point 
. Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
سؤال
Find the vector v that has a magnitude of 
and is in the same direction as u, where 
.
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
A straight road makes an angle, A, of 
with the horizontal. When the angle of elevation, B, of the sun is 
, a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. 
A)3.49 feet
B)6.31 feet
C)5.71 feet
D)8.26 feet
E)4.15 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)3.49 feet
B)6.31 feet
C)5.71 feet
D)8.26 feet
E)4.15 feet
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Find the component form of v if 
and the angle it makes with the x-axis is 
.
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)68.17 sq.units
B)61.36 sq.units
C)54.54 sq.units
D)81.81 sq.units
E)74.99 sq.units
A)68.17 sq.units
B)61.36 sq.units
C)54.54 sq.units
D)81.81 sq.units
E)74.99 sq.units
سؤال
Find the magnitude of vector v. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Find the magnitude of vector v with initial point 
and terminal point 
.
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
Given 
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)
C)
D)
E)not possible
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)
C)
D)
E)not possible
سؤال
Find the vector v that has a magnitude of 
and is in the same direction as u, where 
.
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
سؤال
Determine the area of a triangle having the following measurements. Round your answer to two decimal places. 
A)28.61 sq.units
B)21.46 sq.units
C)19.07 sq.units
D)23.84 sq.units
E)26.22 sq.units
A)28.61 sq.units
B)21.46 sq.units
C)19.07 sq.units
D)23.84 sq.units
E)26.22 sq.units
سؤال
Find the magnitude of vector v. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given vectors 
and 
determine the quantity indicated below. 
A)-6
B)-21
C)36
D)-18
E)78
and determine the quantity indicated below. A)-6
B)-21
C)36
D)-18
E)78
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)6.79
B)12.92
C)14.97
D)11.39
E)10.88
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)6.79
B)12.92
C)14.97
D)11.39
E)10.88
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)
B)13.71
C)12.25
D)7.88
E)11.16
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)13.71
C)12.25
D)7.88
E)11.16
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
سؤال
Find the component form of v if 
and the angle it makes with the x-axis is 
.
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
سؤال
Determine 
where is the angle between u and v. Round answer to two decimal places.
A)7.07
B)5.00
C)6.83
D)8.66
E)6.04
where is the angle between u and v. Round answer to two decimal places.A)7.07
B)5.00
C)6.83
D)8.66
E)6.04
سؤال
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] ![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_2172_a291_75d2a00dec16_TB8633_11.jpg)
![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_4883_a291_411d1fe52977_TB8633_00.jpg)
A)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_4884_a291_71100860a39d_TB8633_11.jpg)
B)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_6f96_a291_279deb79e35b_TB8633_11.jpg)
C)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_6f97_a291_1df2e4e727ff_TB8633_11.jpg)
D)![<strong>Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] </strong> A) B) C) D) E)none of these <div style=padding-top: 35px>](https://d2lvgg3v3hfg70.cloudfront.net/TB8633/11eb80b1_af79_4885_a291_1d4394e56436_TB8633_11.jpg)
E)none of these
A)
B)
C)
D)
E)none of these
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
Find the magnitude of vector v with initial point 
and terminal point 
.
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
سؤال
Use the dot product to find the magnitude of u if 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Given 
and 
, determine 
.
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
سؤال
Given 
, 
, and 
, use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)19.48
B)16.84
C)20.36
D)13.33
E)18.60
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)19.48
B)16.84
C)20.36
D)13.33
E)18.60
سؤال
Find the angle between the vectors u and v. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Let w be a vector with initial point 
and terminal point 
. Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
سؤال
In the figure below, 
, 
, and 
. Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. 
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 7: Additional Topics in Trigonometry
1
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
2
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
3
Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)17.88
B)18.18
C)15.73
D)17.57
E)16.96
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)17.88
B)18.18
C)15.73
D)17.57
E)16.96
18.18
4
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)33.24 sq.units
B)29.91 sq.units
C)39.89 sq.units
D)26.59 sq.units
E)36.56 sq.units
A)33.24 sq.units
B)29.91 sq.units
C)39.89 sq.units
D)26.59 sq.units
E)36.56 sq.units
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5
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
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6
In the figure below, , , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
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7
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
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8
Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
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9
Given , , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.
A)14.32
B)15.33
C)13.31
D)21.37
E)17.34
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)14.32
B)15.33
C)13.31
D)21.37
E)17.34
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10
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
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11
In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)6.33
B)5.91
C)9.27
D)7.59
E)2.54
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)6.33
B)5.91
C)9.27
D)7.59
E)2.54
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12
Find the magnitude of vector v.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Given , use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)
C)
D)
E)not possible
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)
C)
D)
E)not possible
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14
In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)9.12
B)
C)5.87
D)10.20
E)11.64
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)9.12
B)
C)5.87
D)10.20
E)11.64
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15
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)22.20 sq.units
B)24.67 sq.units
C)19.73 sq.units
D)29.60 sq.units
E)27.13 sq.units
A)22.20 sq.units
B)24.67 sq.units
C)19.73 sq.units
D)29.60 sq.units
E)27.13 sq.units
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16
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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17
A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 8 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.
A)10.20 feet
B)3.30 feet
C)6.27 feet
D)6.63 feet
E)12.32 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 8 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)10.20 feet
B)3.30 feet
C)6.27 feet
D)6.63 feet
E)12.32 feet
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18
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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19
Find the magnitude of vector v with initial point and terminal point .
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
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20
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
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21
Find the vector v that has a magnitude of and is in the same direction as u, where .
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
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22
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
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23
In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)15.33
B)11.55
C)13.44
D)7.77
E)12.02
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)15.33
B)11.55
C)13.44
D)7.77
E)12.02
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24
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)43.69 sq.units
B)49.15 sq.units
C)54.61 sq.units
D)65.53 sq.units
E)60.07 sq.units
A)43.69 sq.units
B)49.15 sq.units
C)54.61 sq.units
D)65.53 sq.units
E)60.07 sq.units
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25
Given , use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)not possible
C)
D)
E)
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)not possible
C)
D)
E)
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26
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
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27
In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)10.00
B)7.21
C)10.93
D)
E)12.17
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)10.00
B)7.21
C)10.93
D)
E)12.17
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28
Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
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29
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
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30
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
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31
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)34.18 sq.units
B)37.29 sq.units
C)27.97 sq.units
D)31.07 sq.units
E)24.86 sq.units
A)34.18 sq.units
B)37.29 sq.units
C)27.97 sq.units
D)31.07 sq.units
E)24.86 sq.units
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32
Find the component form of v if and the angle it makes with the x-axis is .
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
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33
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
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34
A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.
A)4.28 feet
B)1.97 feet
C)5.26 feet
D)9.60 feet
E)8.41 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)4.28 feet
B)1.97 feet
C)5.26 feet
D)9.60 feet
E)8.41 feet
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35
Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)13.27
B)9.13
C)14.65
D)13.96
E)11.89
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)13.27
B)9.13
C)14.65
D)13.96
E)11.89
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36
In the figure below, , , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
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37
Given , , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.
A)9.25
B)13.55
C)17.84
D)10.33
E)11.40
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)9.25
B)13.55
C)17.84
D)10.33
E)11.40
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38
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
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39
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)76.18 sq.units
B)114.27 sq.units
C)95.23 sq.units
D)104.75 sq.units
E)85.70 sq.units
A)76.18 sq.units
B)114.27 sq.units
C)95.23 sq.units
D)104.75 sq.units
E)85.70 sq.units
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40
Let w be a vector with initial point and terminal point . Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
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41
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)30.00 sq.units
B)27.00 sq.units
C)33.00 sq.units
D)36.00 sq.units
E)24.00 sq.units
A)30.00 sq.units
B)27.00 sq.units
C)33.00 sq.units
D)36.00 sq.units
E)24.00 sq.units
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42
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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43
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
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44
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.A)
B)
C)
D)
E)
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45
Given , , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places.
A)12.33
B)17.78
C)13.69
D)23.24
E)15.06
, , and , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. A)12.33
B)17.78
C)13.69
D)23.24
E)15.06
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46
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)43.69 sq.units
B)36.41 sq.units
C)29.12 sq.units
D)32.77 sq.units
E)40.05 sq.units
A)43.69 sq.units
B)36.41 sq.units
C)29.12 sq.units
D)32.77 sq.units
E)40.05 sq.units
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47
Let w be a vector with initial point and terminal point . Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
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48
Find the vector v that has a magnitude of and is in the same direction as u, where .
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
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49
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.A)
B)
C)
D)
E)
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50
A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.
A)3.49 feet
B)6.31 feet
C)5.71 feet
D)8.26 feet
E)4.15 feet
with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. A)3.49 feet
B)6.31 feet
C)5.71 feet
D)8.26 feet
E)4.15 feet
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51
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. A)
B)
C)
D)
E)
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52
Find the component form of v if and the angle it makes with the x-axis is .
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
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53
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)68.17 sq.units
B)61.36 sq.units
C)54.54 sq.units
D)81.81 sq.units
E)74.99 sq.units
A)68.17 sq.units
B)61.36 sq.units
C)54.54 sq.units
D)81.81 sq.units
E)74.99 sq.units
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54
Find the magnitude of vector v.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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55
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
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56
Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. A)
B)
C)
D)
E)
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57
Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.A)
B)
C)
D)
E)
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58
Find the magnitude of vector v with initial point and terminal point .
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
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59
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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60
Given , use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
A)
B)
C)
D)
E)not possible
, use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.A)
B)
C)
D)
E)not possible
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61
Find the vector v that has a magnitude of and is in the same direction as u, where .
A)
B)
C)
D)
E)
and is in the same direction as u, where .A)
B)
C)
D)
E)
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62
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
A)28.61 sq.units
B)21.46 sq.units
C)19.07 sq.units
D)23.84 sq.units
E)26.22 sq.units
A)28.61 sq.units
B)21.46 sq.units
C)19.07 sq.units
D)23.84 sq.units
E)26.22 sq.units
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63
Find the magnitude of vector v.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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64
Given vectors and determine the quantity indicated below.
A)-6
B)-21
C)36
D)-18
E)78
and determine the quantity indicated below. A)-6
B)-21
C)36
D)-18
E)78
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65
In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)6.79
B)12.92
C)14.97
D)11.39
E)10.88
, , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)6.79
B)12.92
C)14.97
D)11.39
E)10.88
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66
In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)
B)13.71
C)12.25
D)7.88
E)11.16
, , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)13.71
C)12.25
D)7.88
E)11.16
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67
Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.A)
B)
C)
D)
E)
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68
Find the component form of v if and the angle it makes with the x-axis is .
A)
B)
C)
D)
E)
and the angle it makes with the x-axis is .A)
B)
C)
D)
E)
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69
Determine where is the angle between u and v. Round answer to two decimal places.
A)7.07
B)5.00
C)6.83
D)8.66
E)6.04
where is the angle between u and v. Round answer to two decimal places.A)7.07
B)5.00
C)6.83
D)8.66
E)6.04
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70
Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
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71
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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72
Find the magnitude of vector v with initial point and terminal point .
A)
B)
C)
D)
E)
and terminal point .A)
B)
C)
D)
E)
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73
Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places. A)
B)
C)
D)
E)
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74
Use the dot product to find the magnitude of u if
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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75
Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.
A)134°
B)119°
C)127°
D)122°
E)114°
A)134°
B)119°
C)127°
D)122°
E)114°
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76
Given and , determine .
A)
B)
C)
D)
E)
and , determine .A)
B)
C)
D)
E)
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77
Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
A)19.48
B)16.84
C)20.36
D)13.33
E)18.60
, , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.A)19.48
B)16.84
C)20.36
D)13.33
E)18.60
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78
Find the angle between the vectors u and v.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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79
Let w be a vector with initial point and terminal point . Write w as a linear combination of the standard unit vectors i and j.
A)
B)
C)
D)
E)
and terminal point . Write w as a linear combination of the standard unit vectors i and j.A)
B)
C)
D)
E)
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80
In the figure below, , , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.
A)
B)
C)
D)
E)
, , and . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. A)
B)
C)
D)
E)
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