Law of Sines (Sec 8-3) — Unit test Answers

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A parallelogram has side lengths of 4 and 6 and an angle of measure 55°.Law of cosines: a2 = b2 + c2 – 2bccos(A)

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A
3
B
5
C
6
D
7
22
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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch.Heron’s formula: Area

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A
19 square inches
B
37 square inches
C
60 square inches
D
95 square inches
24

If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec ?

Question illustration
A
Negative five-thirds
Option A
B
Negative five-fourths
Option B
C
Five-fourths
Option C
D
Five-thirds
Option D
25

A student is given that point P(a, b) lies on the terminal ray of angle , which is between radians and 2 radians. The student uses the steps below to find cos . Step 1Find the quadrant in which P(a, b) lies:P(a, b) is in Quadrant IV.Step 2Use the point and the Pythagorean theorem to determine the value of r:, but since r must be positive, .Step 3Determine cos ., where a and b are positive.Which of the following explains whether the student is correct?

Question illustration
A
The student made an error in step 3 because a is positive in Quadrant IV; therefore, .
Option A
B
The student made an error in step 3 because .
Option B
C
The student made an error in step 2 because r is negative in Quadrant IV; therefore, .
Option C
D
The student made an error in step 2 because using the Pythagorean theorem gives .
Option D
26

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.Heron’s formula: Area

Question illustration
A
6 square feet
B
7 square feet
C
19 square feet
D
22 square feet
27

Which of the following are in correct order from greatest to least?

A
, 330°, , ,
Option A
B
, , , , 330°
Option B
C
, , , , 330°
Option C
D
330°, , , ,
Option D
28

Which of the following represents the measures of all angles coterminal with a –220° angle?

A
360 + 140n, for any whole number n
B
360 + 140n, for any integer n
C
140+ 360n, for any whole number n
D
140 + 360n, for any integer n

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