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Neporo4naja [7]
2 years ago
9

Help me out pls, 20 points!

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
5 0

Answer:

75.5 is not equivalent because 75 1/2% to a decimal is 0.775

Step-by-step explanation:

Hope this helps

Roman55 [17]2 years ago
4 0

Answer:

OPTION B the correct answer.

75 \frac{1}{2}\%  =  \frac{151}{200}

= 0.755

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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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