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expeople1 [14]
3 years ago
7

A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi

ng: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
What is the central angle measure of the section representing those teenagers who prefer to play video games?

Mathematics
2 answers:
Crank3 years ago
8 0

Answer: The answer is 22.5 or 86.4 im not sure


erik [133]3 years ago
3 0
If it was 25%, it would be a 90 degree angle. So we can calculate this using a proportion. 25/90 = 24/x. Cross multiply to get 25x = 2160. When you divide by 25 on both sides you get 86.4. So the angle should be 86 degrees. Hope this helps.
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<img src="https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Cboxed%7B%20%5Cbegin%7Barray%7D%7B%7D%5Clarge%5Ctt%20The%20%20%5C%5C%20%20%5Ct
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Distance formula

\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

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\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units

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\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units

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