| |
| |
1. |
Find cos 42° to the nearest thousandth. |
| |
|
A. |
0.743 |
B. |
-0.399 |
| |
|
C. |
0.669 |
D. |
0.900 |
| |
|
Hint |
|
| |
2. |
Find the measure of in the triangle below to the nearest hundredth. |
| |
|
 |
| |
|
A. |
74.05° |
B. |
6.71° |
| |
|
C. |
70° |
D. |
1.29° |
| |
|
Hint |
|
| |
3. |
Which side measures do not form a right triangle? |
| |
|
A. |
9, 40, 41 |
B. |
10, 12, 15 |
| |
|
C. |
3, 4, 5 |
D. |
5, 12, 13 |
| |
|
Hint |
|
| |
4. |
Simplify  |
| |
|
A. |
72 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Simplify . |
| |
|
A. |
7 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Simplify . |
| |
|
A. |
16 |
B. |
 |
| |
|
C. |
4 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Simplify . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
The expression is in simplest form |
D. |
 |
| |
|
Hint |
|
| |
8. |
Solve . |
| |
|
A. |
-1 |
B. |
0 |
| |
|
C. |
no real solution |
D. |
2 |
| |
|
Hint |
|
| |
9. |
The distance between the points with coordinates (-8, 4) and (1, a) is 15 units. Find the value of a. |
| |
|
A. |
-8 or 16 |
B. |
8 or 16 |
| |
|
C. |
-8 |
D. |
8 |
| |
|
Hint |
|
| |
10. |
Which are the vertices of an isosceles triangle? |
| |
|
A. |
G(5, 1), H(-4, 3), I(2, 6) |
| |
|
B. |
A(6, 3), B(-2, 4), C(2, 11) |
| |
|
C. |
J(0, 4), K(-3, -4), L(1, -5) |
| |
|
D. |
D(2, -6), E(1, -5), F(8, 0) |
| |
|
Hint |
|
| |
11. |
Suppose the formula represents the relationship between a plane's length L and the pounds P its wings can lift, where k is a constant of proportionality calculated for a plane. If its wings are 150 feet and k = 0.1669, what range of values are possible for weight? |
| |
|
A. |
less than 3755 pounds |
B. |
greater than 3755 pounds |
| |
|
C. |
less than 134,811 pounds |
D. |
greater than 134,811 pounds |
| |
|
Hint |
|
| |
12. |
Consider two items. Item A is the length of a side of a right triangle whose hypotenuse is 30 and whose other side is 24. Item B is the length of the hypotenuse of a right triangle whose legs have lengths of 12 and 15. What is true? |
| |
|
A. |
Item A is greater. |
B. |
Item A = Item B |
| |
|
C. |
cannot be determined from given information |
D. |
Item B is greater. |
| |
|
Hint |
|
| |
13. |
Which of the following is not necessarily true concerning similar triangles? |
| |
|
A. |
The measures of their corresponding sides are equal. |
| |
|
B. |
The measures of their corresponding angles are equal. |
| |
|
C. |
The measures of their corresponding sides are proportional. |
| |
|
D. |
Each triangle has angles whose sum is 180°. |
| |
|
Hint |
|
| |
14. |
Suppose a man that is 6 feet tall is standing near a street light that is 10 feet high. If the shadow that is cast extends 20 feet away from the light, how far away from the light is the man? |
| |
|
A. |
8 feet |
B. |
12 feet |
| |
|
C. |
6 feet |
D. |
14 feet |
| |
|
Hint |
|
|
|