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Ronch [10]
3 years ago
14

Please help I am begging you extra points and BRAINLIEST!!!!!!!

Mathematics
1 answer:
aniked [119]3 years ago
6 0

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the concept of linear equations.

Sheet - 1

1.) m = -8

2.) n = 10

3.) b = 45

4.) x = -40

5.) p = 2

6.) x = 6

7.) x = -4

8.) x = 4.5

9.) x = 8

10.) w = 40

Sheet - 2

1.) x = 2

2.) x = -2

3.) x = 20

4.) x = -3/2

5.) x = -8

6.) x = 11

7.) x = 0

8.) x = 5

9.) x = -10/3

10.) x = 30

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1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?
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1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

<u>Step-by-step explanation:</u>

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

<u>1) To find the volume of the beach ball :</u>

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

<u>To find the radius :</u>

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

<u>2) The given equation is </u>4^{x} = 64<u></u>

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

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