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elena-s [515]
2 years ago
13

Roy made a pizza that is 12 inches in diameter. He knows he can eat about 84.8 in, at what angle should Roy cut the pizza in rad

ians? Round your answer to the tenths place.
Mathematics
1 answer:
kolbaska11 [484]2 years ago
8 0

Answer:

Cutting angle in radian θ = 3π / 2

Step-by-step explanation:

Given:

Diameter of pizza = 12 inch

He can eat = 84.8 inch²

Find:

Cutting angle in radian

Computation:

Radius of pizza = Diameter of pizza / 2

Radius of pizza = 12 / 2

Radius of pizza = 6 inch

Area of sector = [θ/360][πr²]

Area of sector = [θ/360][(π)(6)²]

84.8 = [θ/360][(π)(36)]

θ = 270°

θ = 270[π/180]

θ = 27π / 18

Cutting angle in radian θ = 3π / 2

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Last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of
EastWind [94]

Answer:

38,325 dinners.

Step-by-step explanation:

We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.

The estimated number of dinners next year would be 36,500 plus 5% of 36,500.

36,500+(\frac{5}{100}\times 36,500)

36,500+(0.05\times 36,500)

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Therefore, 38,325 dinners will be served next year.

6 0
3 years ago
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the
kati45 [8]

Answer: A) 45 ft

Step-by-step

The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.

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2 years ago
How do the particular characteristics of an ecosystem arise?
kumpel [21]

Answer:

Step-by-step explanation:

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4 0
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frutty [35]
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3 0
3 years ago
What is 16% of 25?<br> a. 64<br> b. 16<br> c. 6<br> d. 4
valentina_108 [34]
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