Unit Test — Unit test Answers

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The graph of is the graph of the y = cos(x) shifted in which direction?

Question illustration
A
units to the left
Option A
B
units to the right
Option B
C
units up
Option C
D
units down
Option D
22
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Which function is graphed below?

Question illustration
A
f(x) = cos(x)
B
f(x) = –cos(x)
C
f(x) = sin(x)
D
f(x) = –sin(x)
23

Which equation can be used to solve for x in the triangle below?

Question illustration
A
x squared equal to 4 point 7 squared plus 4 point 0 squared + 2 (4.7) (4.0) cosine 41 degree.
Option A
B
x equal to 4 point 7 plus 4 point 0 plus 2 (4.7) (4.0) cosine 41 degree.
Option B
C
x squared equal to 4 point 7 squared plus 4 point 0 squared - 2 (4.7) (4.0) cosine 41 degree.
Option C
D
x equal to 4 point 7 plus 4 point 0 minus 2 (4.7) (4.0) cosine 41 degree.
Option D
24

A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long when the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?

Question illustration
A
by determining the length of TV using , and then determining the value of x using
Option A
B
by determining the value of x using
Option B
C
by determining the length of TV using , and then determining the value of x using
Option C
D
by determining the value of x using
Option D
25

Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as shown.The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation. Which equation could Kim use to find x, the length of the pole?

Question illustration
A
StartFraction sine 40 over x EndFraction equal to StartFraction sine 60 over 12 EndFraction.
Option A
B
StartFraction sine 40 over 12 EndFraction equal to StartFraction sine 60 over x EndFraction.
Option B
C
StartFraction sine 60 over x EndFraction equal to StartFraction sine 80 over 12 EndFraction.
Option C
D
StartFraction sine 80 over x EndFraction equal to StartFraction sine 40 over 12 EndFraction.
Option D

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