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KengaRu [80]
2 years ago
14

A circle with area \blue{16\pi}16πstart color #6495ed, 16, pi, end color #6495ed has a sector with a central angle of \purple{\d

frac{8}{5}\pi}
5
8
​
πstart color #9d38bd, start fraction, 8, divided by, 5, end fraction, pi, end color #9d38bd radians .
What is the area of the sector?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
7 0

Answer:

(64/5)π

Step-by-step explanation:

Area of the circle: 16π

central angle: (8/5)π

The Area of the circle corresponds to a central angle equal to 2π (the complete circle). Then the following proportion must be satisfied:

16π / x = 2π / (8/5)π

x = [16π * (8/5)π] / 2π

x = (64/5)π

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Step-by-step explanation:

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Now divide both numbers by 5 and put a 5 on the outside of the new expression to look like: 5(3x+5) and this is as far as it can be factored.

4 0
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Answer:

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Step-by-step explanation:

Given:

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Now, let the number of math textbooks sold be x.

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x+2x=402

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And, total number of psychology textbooks were 2x=2\times 134

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