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aniked [119]
2 years ago
10

A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of th

e balloon to be 75. 8° and 15. 6°. What is the length of the island to the nearest tenth of a mile?.
SAT
1 answer:
nekit [7.7K]2 years ago
5 0

Answer:     Distance to close end of island is 3000/tan(75.8); distance to far end is 3000/tan(15.6). The difference is 9985.676 feet or about 1.9 miles.

Explanation:  2 explanation Balloon, flying or levitating, has no front to recon with, so two possible answers.

tan(90–15.6)+or-tan(90–75.08) * 3000= length of island

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What value of x is in the solution set of 9(2x 1) &lt; 9x – 18?
Vlad [161]

Answer   possible answer that is correct is the first one, x = -4.

Explanation:

simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

my answer simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

webew7 and 1 more users found this answer helpful

3 0
2 years ago
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