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aniked [119]
3 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]3 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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How long will it take for 475 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 30 mg
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<h3>Answer:</h3>

60 days

<h3>Explanation:</h3>

Half-life is the amount of time it takes half of a substance to decay away.

Guess and Check

One method for solving half-life problems like this is to guess and check. To do this, we can continue to divide 475mg by 2 until we get to 30mg.

  • 475 ÷ 2 = 237.5
  • 237.5 ÷ 2 = 118.75
  • 118.75 ÷ 2 = 59.375
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As seen here, it takes approximately 4 half-lives for this sample of Ra-225 to decay to 30mg. Now, we can multiply 4 by the length of the half-life, 15 days.

  • 4 * 15 = 60 days.

Fractions

Another way to solve this is to use fractions.

  • 30 is about 1/16 of 475
  • 16 is equivalent to 2^{4}.

This means that it takes 4 half-lives for 475mg to decay to 30mg. Using the same method above, we can tell that 4 half-lives are 60 days.

Important Note

In this question, I rounded occasionally. So, not all of the values are exact, but they are all very close.

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2 years ago
Lesson 22 understand angle relationships in triangles answer key
algol [13]

The example of Lesson 22 understand angle relationships in triangles i that the measure of the angle given in the image attached is 65°; supplementary angles add up to 180°.

<h3>What are the angle relationships in triangles?</h3>

There is the Interior angles which is known to have its both on the inside to be of  parallel lines and as such,  they are supplementary.

An example of Angle Pair Relationship are:

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The answer is 65° and it is a supplementary angles that can add up to 180°. Note that Two angles are called supplementary when their given measures when added together is up to 180 degrees.

See full question below

What is the measure of ∠DEF? How do you know?

answer choices

65°; supplementary angles add up to 180°

65°; complementary angles add up to 180°

45°; alternate interior angles add up to 90°

135°; supplementary angles add up to 180°

Learn more about angle relationships from

brainly.com/question/2953874

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swat32

Answer:

Q: The linguistic relativity hypothesis of Benjamin Whorf suggests which of the following?

A: Speakers of different languages think differently due to the differences in their languages.

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