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Alina [70]
3 years ago
5

A carpenter is installing a circular light fixture with a diameter of 6 inches in the ceiling. To do this, she must cut a square

hole in the ceiling just large enough so that it will be covered by the circular light fixture. • The carpenter uses the Pythagorean theorem to help her with her calculations for the dimensions of the square. What is an accurate estimate of the length of one side of the square hole to the nearest inch? • What is the approximate perimeter of the square hole that the carpenter needs to cut? Use words, numbers, and/or pictures to show your work.
Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

i really wish i could help but i have no idea );

Step-by-step explanation:

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Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is \frac{4}{3} × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = \frac{4}{3} × π × r³

→ Let's substitute in the values

Volume = \frac{4}{3} × π × 6³

→ Simplify

Volume = \frac{4}{3} × π × 216

→ Simplify further

Volume = 288π or 904.78

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17 cm

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To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:

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