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3 years ago

27

Mathematics

1 answer:

katrin2010 [14]3 years ago

6 0

Answer:

A ≈ 35.3 units²

Step-by-step explanation:

Calculate the radius CB using Pythagoras' identity in the right triangle.

CB² + AB² = AC²

CB² + 6² = 9²

CB² + 36 = 81 ( subtract 36 from both sides )

CB² = 45 = r²

Then area of quarter circle is

A = $\frac{1}{4}$ × πr² = $\frac{1}{4}$ × π × 45 ≈ 35.3

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Answer:

Step-by-step explanation:

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Introducing the proportionality constant, we have

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Step-by-step explanation:

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By solving through law of cosines the length s can be written as $s^{2} =9^{2} +10^{2} -2*9*10cos(100)$ .

Given the length of US is 9, the length of ST is 10 and the length of UT is s and the angle UST is 100 degrees.

According to law of cosines a length can be written as $c^{2} =a^{2} +b^{2} -2abcos g$

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Learn more about trigonometric functions here brainly.com/question/24349828

#SPJ10

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