Final Exam Review

Answers on last slide

1. What is the geometric mean of 15 and 8?

𝐴 .4√30𝐵 .2√30𝐶 .120𝐷 .√23

2. Solve for x.

𝐴 .5𝐵 .20𝐶 .2𝐷 .2√3

3. If cos P = 0.5, find mP.

A. 30o B. 1o C. 60o D. 43o

4. A 40-foot slide makes a 65o angle with the ground. How high off the ground is the top of the slide?

A. 36.3 ft B. 16.9 ft C. 44.1 ft D. 85.8 ft

5. Let 9, 5, and 10 represent the side lengths of a triangle. Classify the triangle.

A. Obtuse B. Acute C. Right D. Can’t actually form a triangle

6. In a circle, a chord is 5 cm from the center of the circle. If the radius is 13 cm, how long is the chord?

𝐴 .12𝑐𝑚𝐵 .24 𝑐𝑚𝐶 .√194𝑐𝑚𝐷 .26𝑐𝑚

7. Solve for y.

A. 46 B. C. 20 D. 5

8. Solve for x and y.

A. x = 95o B. x = 100o C. x = 80o D. x = 85o

y = 80o y = 85o y = 95o y = 100o

9. Solve for x. (Hint – Geometric mean)

A

10. Solve for x.

A. 275 B. 5 C. 95 D. 120

11. A regular decagon has an apothem of 5 in. Find its area.

A. 81.2 in2 B. 40.6 in2 C. 162.5 in2 D. 181.6 in2

12. Solve for x.

A. 46o B. 67o C. 22o D. 23o

13. Solve for x.

C. 15 D. 6

14. Find the area of the shaded region.

A. 75π B. 100 - 25π C. 25π – 100 D. 25 - 25π

15. Two similar figures have areas of 25 ft2 and 36 ft2. If the smaller one has a perimeter of 7.5 ft, what is the perimeter of the larger one?

A. 9 ft B. 10.8 ft C. 6.25 ft D. 15.552 ft

16. Solve for x.

A. 5 B. C. 3 D. 4

17. Find the perimeter of the trapezoid.

A. 39 + 7B. 30 + 7C. 39 + 7D. 39 + 21

18. Which equation would you use to solvefor x?

𝐴 .sin 70 °=5𝑥 𝐵 .𝑐𝑜𝑠70 °=5𝑥 𝐶 .cos70 °=

𝑥5 𝐷 .𝑥=𝑠𝑖𝑛−170 °

ANSWER KEY

1. B 2. A 3. C 4. A 5. B

6. B 7. D 8. C 9. A 10. C

11. A 12. D 13. D 14. B 15. A

16. A 17. C 18. B