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1. |
and are similar. Find b if x = 15, y = 6, and a = 7.5. |
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A. |
7.5 |
B. |
3 |
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C. |
6 |
D. |
12 |
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Hint |
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2. |
A tree that is 5 feet tall casts a shadow 2 feet long. A nearby building casts a shadow that is 20 feet long. How tall is the building? |
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A. |
20 ft |
B. |
50 ft |
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C. |
10 ft |
D. |
0.5 ft |
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Hint |
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3. |
Which of the following side measures would form a right triangle? |
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A. |
8, 11, 19 |
B. |
7, 9, 12 |
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C. |
10, 24, 26 |
D. |
18, 20, 27 |
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Hint |
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4. |
Which side measures do not form a right triangle? |
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A. |
5, 12, 13 |
B. |
10, 12, 15 |
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C. |
9, 40, 41 |
D. |
3, 4, 5 |
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Hint |
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5. |
Simplify . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Simplify . |
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A. |
 |
B. |
The expression is in simplest form. |
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C. |
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D. |
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Hint |
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7. |
The distance between the points with coordinates (-8, 4) and (1, a) is 15 units. Find the value of a. |
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A. |
-8 |
B. |
8 or 16 |
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C. |
8 |
D. |
-8 or 16 |
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Hint |
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8. |
Simplify . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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9. |
Find . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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10. |
Solve . |
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A. |
25 |
B. |
15 |
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C. |
445 |
D. |
125 |
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Hint |
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11. |
Solve . |
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A. |
19 |
B. |
–13 |
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C. |
no solution |
D. |
13 |
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Hint |
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12. |
Tamotsu and Ryan each go to the same school. Tamotsu lives 5 miles north and 3 miles west of the school. Ryan lives 7 miles south and 4 miles east of the school. How far apart do they live? |
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A. |
7.28 miles |
B. |
2.24 miles |
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C. |
12.04 miles |
D. |
13.9 miles |
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Hint |
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13. |
Using the figure, which expression is equal to cos 38°? |
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A. |
tan 38° |
B. |
sin 52° |
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C. |
tan 52° |
D. |
sin 38° |
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Hint |
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14. |
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago? |
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A. |
1616 ft. |
B. |
9900 ft. |
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C. |
2499 ft. |
D. |
6401 ft. |
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Hint |
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