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ad-work [718]
3 years ago
14

Find the missing terms of the geometric sequence 480, ___, ___, ___, 12.288, …. (hint: the geometric mean of the first and fifth

terms is the third term.)
Mathematics
1 answer:
rewona [7]3 years ago
4 0
To solve this problem  you must apply the proccedure shown below:
 1. You have:
 480r^(5-1)=12.288
 480r^4=12.288
 r^4=12.288/480
 r=(12.288/480)^(1/4)
 r=0.4
 2. Now, multiply r=0.4 to each term, as below:
 480x0.4=192
 192x0.4=76.8
 76.8x0.4=30.72
 30.72x0.4=12.288
 Therefore, as you can see, the answer is: 192,76.8,30.72
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In the image below, 10 is the long leg of the 30-60-90 triangle.<br><br><br> True or false?
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The measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)

<h3>Is the length of a known arm in a 30 - 60 - 90 right triangle the long arm?</h3>

In accordance with geometry, the length of the <em>long</em> arm of a 30 - 60 - 90 <em>right</em> triangle is √3 / 2 times the length of the hypotenuse, the length of the <em>short</em> arm is 1 / 2 times the length of the hypotenuse and the length of the <em>long</em> arm is √3 times the length of the arm.

Thus, the measure of the angle between the hypotenuse and the <em>short</em> leg is 60° and we can conclude that the side with length 10 is not the <em>long</em> leg of the 30 - 60 - 90 <em>right</em> triangle. (Right choice: False)

To learn more on right triangles: brainly.com/question/6322314

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PLEASE HELP FOR 100 POINTS AND BRAINLIEST! Find the unknown measures. Round lengths to the nearest hundredth and angle measures
Varvara68 [4.7K]

Answer:

A. BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°

B. BC ≈ 1.28; AB ≈ 2.52; m∠C = 27°

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D. BC ≈ 1.28; AB ≈ 2.52; m∠C = 117°

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3 years ago
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Answer:160

Step-by-step explanation:

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