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blsea [12.9K]
3 years ago
6

In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16 pi. What is the arc measure of AC, in degre

es?

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

72 degrees

Step-by-step explanation:

We need to know the total circumference in order to determine the arc measure for ABC before we figure out AC

Circumference   =2πr   →  =2π(10)   →   =20π

We know the length of ABC

so we set up a proportion to figure out its arc measure.

arc length/ circumference = arc measure/ degrees in a circle

16π/ 20π = arc measure/ 360 degrees

arc measure= 360 x 16π/ 20π =228 degrees

The arc measure of ABC is 228 degrees

If we combine the major arc ABC, and the minor arc AC we have the entire circle.

288 degrees  +m  AC= 360

m  AC= 72 degrees

The measure of AC is 72 degrees

(i got the explanation off of Klan Academy when i answered the question)

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When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

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Margo borrows $2000, agreeing to pay it back with 7% annual interest after 17 months. How much interest
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Which expression is equivalent?
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The Third one.

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Read 2 more answers
Between which two consecutive integers does <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%2012%5C%5C" id="TexFormula1" title="
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The most appropriate choice for square root will be given by-

\sqrt{12} lies between 3 and 4

What is square root of a number?

Number raised to the power \frac{1}{2} is the square root of  the number.

Here

\sqrt{12}\\ 2\sqrt{3}\\ 2*1.732\\3.464\\

3.464 lies between 3 and 4

\sqrt{12} lies between 3 and 4

To learn more about square root of a number, refer to the link:

brainly.com/question/3617398

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