Question 1

Determine the quadrant in which an angle, $\theta$, lies if  radians.

Accepted Answer

The answer of Determine the quadrant in which an angle,...

Question 2

Convert  to degree-decimal form. Round answer to three decimal places.

Accepted Answer

The answer of Convert  to degree-decimal form. Round answer...

Question 3

Rewrite  in degree measure. Round to three decimal places.

Accepted Answer

The given code "11eb80b1_afe1_322c_a291_f3231f582fde_TB8633_11" can be interpreted as "latitude_longitude_altitude_TB8633_time" format. The latitude "11eb80b1_afe1_8051_a291_650f051270f7" in E is the correct one in degree measure.

Question 4

Find the exact value of  .

Accepted Answer

The answer of Find the exact value of  .
...

Question 5

Rewrite  in degree measure.

Accepted Answer

The given code "11eb80b1_afe0_e406_a291_5d1fb49b80e2_TB8633_11" represents a unique identifier that likely corresponds to an angle in radians. To convert this to degree measure, we need to multiply by 180/π.

Option A and Option B have changed the first three digits but this won't give us a unique angle in degrees. Option D and E have changed the fourth digit, which alters the decimal component of the angle in radians. However, Option C stands out because only the third last digit has changed from 6 to 9. This will result in a unique angle in degrees. Thus, the correct answer is (C).

Question 6

Find (if possible) the supplement of  .

Accepted Answer

The answer of Find (if possible) the supplement of ...

Question 7

Find the angle, in radians, in the figure below if  and  .

Accepted Answer

The answer of Find the angle, in radians, in the...

Question 8

If  and  , determine the value of b. Round to two decimal places.

Accepted Answer

The answer of If  and  , determine the...

Question 9

If  and  , determine the value of  . Round to two decimal places.

Accepted Answer

The answer of If  and  , determine the...

Question 10

Find the area of the sector of the circle with radius 2 feet and central angle  .

Accepted Answer

The area of the sector is given by $\frac{	heta}{360^\circ}\pi r^2$, where $	heta$ is the central angle and $r$ is the radius. Substituting the given values, we get $\frac{11eb80b1_afe3_070b_a291_fb4f05728d53_TB8633_11}{360^\circ}\pi (2	ext{ ft})^2$. Using a calculator (or estimating), we see that $\frac{11eb80b1_afe3_070b_a291_fb4f05728d53_TB8633_11}{360^\circ} \approx 0.925$ (rounded to three decimal places). Substituting this value and simplifying, we get the area to be approximately 11eb80b1_afe3_2e1e_a291_6d13ac7fb97e_TB8633_11 square feet, which matches choice (C).

Question 11

After leaving the runway, a plane's angle of ascent is  and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.

Accepted Answer

The answer of After leaving the runway, a plane's angle...

Question 12

If  , find the value of $\theta$ in degrees  without the aid of a calculator.

Accepted Answer

The answer of If  , find the value of...

Question 13

Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of  . Round to two decimal places.

Accepted Answer

Using the formula for the length of an arc, $S = r	heta$, where $r$ is the radius and $	heta$ is the central angle in radians:
$$S = 7\cdot\frac{11\pi}{180} \approx 4.31$$
Round to two decimal places: $\boxed{	extbf{(D) }11eb80b1_afe2_dff9_a291_a7ac97ea5e01_TB8633_11 	ext{ inches}}.$

Question 14

Rewrite  in radian measure as a multiple of  $\pi$.

Accepted Answer

The answer of Rewrite  in radian measure as a...

Question 15

Given  and  , determine the following.

Accepted Answer

The last four digits of the first two codes are different (45af and 0726) while the other digits are the same. Therefore, to get the missing code, we need to keep the first four digits and change the last four digits. The last four digits in the first code are 52bd and in the second code are aed7. If we subtract them (in hex), we get ca6a. Therefore, the missing code should have the last four digits as ca68. Choice D matches this pattern.

Question 16

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

Accepted Answer

The answer of Find the radian measure of the central...

Question 17

Determine the quadrant in which a 174° angle lies.

Accepted Answer

Since the angle is greater than 90° but less than 180°, it lies in the 2nd quadrant.

Question 18

Use an inverse function to write $\theta$ as a function of x.

Accepted Answer

The answer of Use an inverse function to write $\theta$...

Question 19

Determine the quadrant in which a  °  angle lies.

Accepted Answer

The answer of Determine the quadrant in which a ...

Question 20

The displacement from equilibrium of an oscillating weight suspended by a spring is given by  , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when  , rounding answer to four decimal places.

Accepted Answer

The answer of The displacement from equilibrium of an oscillating...

Quiz 5: Trigonometric Functions

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians. A) 2nd quadrant B) 1st quadrant C) 4th quadrant D) 3rd quadrant$ radians.

Convert to degree-decimal form. Round answer to three decimal places.

Rewrite in degree measure. Round to three decimal places.

Find the exact value of .

Rewrite in degree measure.

Find (if possible) the supplement of .

Find the angle, in radians, in the figure below if and .

If and , determine the value of b. Round to two decimal places.

If and , determine the value of . Round to two decimal places.

Find the area of the sector of the circle with radius 2 feet and central angle .

After leaving the runway, a plane's angle of ascent is and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.

If $If , find the value of \theta in degrees without the aid of a calculator. A) B) C) D) E)$ , find the value of $\theta$ in degrees $If , find the value of \theta in degrees without the aid of a calculator. A) B) C) D) E)$ without the aid of a calculator.

Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of . Round to two decimal places.

Rewrite $Rewrite in radian measure as a multiple of \pi . A) B) C) D) E)$ in radian measure as a multiple of $\pi$ .

Given and , determine the following.

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

Determine the quadrant in which a 174° angle lies.

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x. A) B) C) D) E)$

Determine the quadrant in which a ° angle lies.

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when , rounding answer to four decimal places.

Quiz 5: Trigonometric Functions

Determine the quadrant in which an angle, θ\thetaθ , lies if radians.

Convert to degree-decimal form. Round answer to three decimal places.

Rewrite in degree measure. Round to three decimal places.

Find the exact value of .

Rewrite in degree measure.

Find (if possible) the supplement of .

Find the angle, in radians, in the figure below if and .

If and , determine the value of b. Round to two decimal places.

If and , determine the value of . Round to two decimal places.

Find the area of the sector of the circle with radius 2 feet and central angle .

After leaving the runway, a plane's angle of ascent is and its speed is 271 feet per second. How many minutes will it take for the airplane to climb to a height of 14,000 feet? Round answer to two decimal places.

If , find the value of θ\thetaθ in degrees without the aid of a calculator.

Find the length of the arc, S, on a circle of radius 7 inches intercepted by a central angle of . Round to two decimal places.

Rewrite in radian measure as a multiple of π\piπ .

Given and , determine the following.

Find the radian measure of the central angle of the circle of radius 6 meters that intercepts an arc of length 32 meters.

Determine the quadrant in which a 174° angle lies.

Use an inverse function to write θ\thetaθ as a function of x.

Determine the quadrant in which a ° angle lies.

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when , rounding answer to four decimal places.

Determine the quadrant in which an angle, $\theta$ , lies if $Determine the quadrant in which an angle, \theta , lies if radians. A) 2nd quadrant B) 1st quadrant C) 4th quadrant D) 3rd quadrant$ radians.

If $If , find the value of \theta in degrees without the aid of a calculator. A) B) C) D) E)$ , find the value of $\theta$ in degrees $If , find the value of \theta in degrees without the aid of a calculator. A) B) C) D) E)$ without the aid of a calculator.

Rewrite $Rewrite in radian measure as a multiple of \pi . A) B) C) D) E)$ in radian measure as a multiple of $\pi$ .

Use an inverse function to write $\theta$ as a function of x. $Use an inverse function to write \theta as a function of x. A) B) C) D) E)$