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Gelneren [198K]
3 years ago
12

Which equation is equivalent to the equation below? 35a+ 20

Mathematics
1 answer:
Arturiano [62]3 years ago
4 0
5(7a + 4b)
Distributive property !
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7 0
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Serhud [2]

A circle is characterized by radius, arc, sectors and circumference

  • The length of the major arc is 18.75\pi
  • The radius of the circle is 15
  • The area of the shaded sector is 140.625 * \pi

<h3>Length of the major arc</h3>

The given parameters are:

C = 30\pi --- the circumference

\theta = 225^o -- the center angle

The length of the major arc is calculated using:

L = \frac{\theta}{360} * C

So, we have:

L = \frac{225}{360} *30\pi

Evaluate

L = 18.75\pi

Hence, the length of the major arc is 18.75\pi

<h3>The radius of the circle</h3>

The circumference is given as:

C = 30\pi

So, we have:

2\pi r = 30\pi

Divide through by 2pi

r = 15

Hence, the radius of the circle is 15

<h3>The area of the shaded sector</h3>

The area of a sector is:

A = \frac{\theta}{360} * \pi r^2

So, we have:

A = \frac{225}{360} * \pi * 15^2

Evaluate

A = 140.625 * \pi

Hence, the area of the shaded sector is 140.625 * \pi

Read more about circumference at:

brainly.com/question/15673093

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