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RideAnS [48]
3 years ago
7

If the area of a circle is 25 pi, find the length of an arc with a central angle of 240? Any help is appreciated please.

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Answer:

11.81pi

Step-by-step explanation:

r^2=25pi

r=8.86

length=2pi(8.86)(240/360)

=17.72pi(2/3)

=11.81pi

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13 miles is equal to 20.921472 Kilometers.

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Solve the inequality. write your answer using interval notation. x(x − 3)(x + 4) > 0
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Sorry But I can't understand what − means so i will solve this for x+3 and x-3 
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3 years ago
Savannah works as a sales rep and receives 4.5% for every $140 she sells. How much commission will she receive?
Kamila [148]
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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

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4 years ago
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