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Mathematics
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Algebra and Trigonometry Study Set 2
Quiz 1: Precalculus Diagnostic
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Question 21
Essay
The hypotenuse of a right triangle is 18 cm. more than one of the legs. If the other leg is 108 cm., how long is the hypotenuse (in cm.)?
Question 22
Essay
In an arithmetic sequence, if a
1
= 15 and the eighth term is 50 , find the 90
th
term in the sequence.
Question 23
Essay
Evaluate:
Question 24
Essay
Simplify completely:
Question 25
Essay
Given
. Evaluate
Question 26
Essay
Kyle went to the post office and spent $23.73 on 55 stamps. He bought 27¢ stamps for the postcards, 42¢ stamps for the letters addressed to friends in the U.S., and 94¢ stamps for each letter to England. Kyle bought 3 times as many postcard stamps as those for the letters to England. How many postcard stamps did Kyle buy? (Hint: use matrices.)
Question 27
Essay
A straight line, l, passes through
. For a point
which lies on line l, as the value of x decreases by 2, what happens to the value of y?
Question 28
Essay
Find the quotient and remainder, using long division, of the following expression. What is the remainder?
Question 29
Essay
Two ships leave port in different directions. The first ship leaves at 8 a.m. traveling due east at 32 knots. The second ship leaves three hours later traveling due north at 36 knots. How far apart are the two ships at 11 p.m.? (1 knot = 1 nautical mile per hour. Round your answer to two decimal places.)
Question 30
Essay
Given ∆ABC whose vertices are A = (6, -4), B = (-5, 9), and C = (16, 9). Find the area of ∆ABC.
Question 31
Essay
Given the following matrices, find AB, if possible.
Question 32
Essay
Solve for x . (Round your final answer to one decimal place, but do NOT round until the final step!)
Question 33
Essay
Question 34
Essay
Suppose M is jointly proportional to x and y and inversely proportional to the square of z. If x is doubled, y is decupled, and z is tripled, is the value of M changed, and if so, by what factor?
Question 35
Essay
Find the EXACT values for x and y
showing 21 - 35 of 35
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