Solve the problem.An object is propelled upward at an angle ?, 45° < ? < 90°, to the horizontal with an initial velocity of v0 feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance is ignored, the distance R that it travels up the inclined plane is given by the function R(?) = 
[sin(2?) - cos(2?) - 1]. Show that R(?) = 
[sin ?(cos ? + sin ?) - 1].
What will be an ideal response?
R(?) = 
[sin(2?) - cos(2?) - 1] = 
[2 sin? cos ? - (1 - 2 sin2 ?) - 1] 
= 
? 2 [sin? (cos ? + sin ?) - 1)] 
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Solve.When Paula set off to drive to her friend's house, the odometer read 8498.9 miles. When she arrived at her friend's house, the odometer read 8535.1 miles. How far had she driven?
A. 37.2 miles B. 46.2 miles C. 36.2 miles D. 36.3 miles
Solve the equation by completing the square.(x + 4)(x - 3) = 8
A. {-5 + 
, -5 - 
B. {-4, 5}
C. {4 + 
, 4 - 
}
D. {-5, 4}
Suppose that a bag holds 3 blue balls and one red ball. We pull a ball from the bag at random, return it and then repeat the process. Suppose we continue pulling balls until the blue ball is drawn and then we observe the number of consecutive red balls drawn. What is the average number of red balls between occurrences of blue balls? Is 
correct? Enter "yes" or "no".
Fill in the blank(s) with the appropriate word(s).
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
What temperature was recorded at 9 a.m.?
A. 74°F B. 72°F C. 70°F D. 73°F