1. 1a. Find the exact value of tan 150°
4/19 Post Test  (turn your REVIEW in for an ancillary grade on your final grade. THIS DAY & CLASS PERIOD ONLY!)
1a Find the exact value of tan 150° I IV
III II
1b Find the exact value of cos 330° I IV
III II

2. 2a. The radius of a circle is 12. 64 m
2a. The radius of a circle is m. What is the length of an arc of the circle intercepted by a central angle of radians? (1 dec. pl.)
59.6
2b. The radius of a circle is 9.85 m. What is the length of an arc of the circle intercepted by a central angle of radians? (1 dec. pl.)
24.8

3. 3a. In the right triangle ABC, the right angle is C. If A = 24°
and c = 51 in., find the length of side “a”. (1 dec. pl.)
20.7
3b. In the right triangle ABC, the right angle is C. If A = 71°
and c = 43 in., find the length of side “a”. (1 dec. pl.)
40.7

4. 4a. The angle of elevation from a point 15
4a. The angle of elevation from a point 15.3 feet from the base of the tower to the top of the tower is 65° . What is the height of the tower? (1 dec. pl.)
32.8
4b. The angle of elevation from a point 27.6 feet from the base of the tower to the top of the tower is 28° . What is the height of the tower? (1 dec. pl.)
14.7

5. 5a. A triangle has angles of 80°, 40°, and 60°
5a. A triangle has angles of 80°, 40°, and 60°. If the side across from the 80° is 124 ft long, what is the length is the side across from the 60°? (1 dec. pl.) A
109.0 C B
5b. A triangle has angles of 55°, 75°, and 50°. If the side across from the 75° is 444 ft long, what is the length is the side across from the 50°? (1 dec. pl.) B C A
352.1

6. 6a. The cities, A, B, and C create a triangle
6a. The cities, A, B, and C create a triangle. If it is 2 miles to A from B, 3 miles to A from C and the angle at A is 95°, how far is it from B to C? (1 dec. pl.) A
3.7 C B
6b. The cities, A, B, and C create a triangle. If it is 12 miles to A from B, 20 miles to A from C and the angle at A is 48°, how far is it from B to C? (1 dec. pl.) B C A
14.9

7. 7a. Suppose sec Ө = , in quadrant III
7a. Suppose sec Ө = , in quadrant III. Draw the triangle in the correct quadrant and compute exact values for sin Ө.
7b. Suppose tan Ө = , in quadrant IV. Draw the triangle in the correct quadrant and compute exact values for sin Ө.

8. 8a. (Show work and show all roots)
8a. (Show work and show all roots).Given x = 4 , use Synthetic Division to solve P(x) = x3 – 4x2 – 5x + 20 for all roots.
8b. (Show work and show all roots).Given x = 5 , use Synthetic Division to solve P(x) = x3 – 6x2 – 7x + 60 for all roots.

9. 9a Two forces of 353 and 157 newtons, forming an angle of 116°, are acting on a point. Find the magnitude of the resultant vector.
317.3
9b Two forces of 53 and 15 newtons, forming an angle of 16°, are acting on a point. Find the magnitude of the resultant vector.
67.5

11. 11a Let f(x) = x2 + 11 and g(x) = 2x – 9, find f(g(-3))
236
11b Let f(x) = x2 – 6 and g(x) = 3x + 20, find f(g(4))
1018

12. 12a Find the inverse of f(x) = 4x – 13.
12b Find the inverse of f(x) = 5x – 22.

13. (No neg. exps.)
(No neg. exps.)

14. (1 dec. pl.)
2.0
(1 dec. pl.)
1.7

15. 15a Solve : log(x + 2) – log(4) = log(3x)

16. 16a Suppose $10,597 is invested at 6
16a Suppose $10,597 is invested at 6.5% compounded continuously for 8 years. Using A = Pe(rt), how much will there be? (2 dec. pl.)
$17,824.45
16b Suppose $12,347 is invested at 5.5% compounded continuously for 10 years. Using A = Pe(rt), how much will there be? (2 dec. pl.)
$21,400.48

17. 4/19 Post Test  (turn your REVIEW in for an ancillary grade on your final grade. THIS DAY & CLASS PERIOD ONLY!)
17a If there are 500 g of Carbon 14, which has a half life of 5400 years, how much will there be in 15,239 years, using At = A0 (.5)(t/h) (1 dec. pl.)
70.7
17b If there are 300 g of Carbon 14, which has a half life of 4500 years, how much will there be in 20,209 years, using At = A0 (.5)(t/h) (1 dec. pl.)
13.3