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vesna_86 [32]
2 years ago
8

In a circle whose radius is 12, find the area of sector, in terms of , whose central angle

Mathematics
1 answer:
Anna11 [10]2 years ago
4 0

Answer:

56.52 units² or 18π units²

Step-by-step explanation:

The formula for the area of a sector is:

A = πr²(x/360°)

where r is the radius and x is the measure of the central angle

Let's substitute the given measures into this equation:

A = πr²(x/360°)

A = (3.14)(12²)(45/360)

Solve:

A = (3.14)(12²)(45/360)

A = (3.14)(144)(45/360)

A = (452.16)(45/360)

A = (452.16)(.125)

A = 56.52

Therefore, the area of the sector is 56.52 units² or 18π units²

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Answer:

10 pizzas

Step-by-step explanation:

Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 ​ pounds of cheese available and he needs \tfrac{1}{8} 8 1 ​ pound of cheese to make each pizza. How many pizzas can he make?

We can interprete the above question as:

1/8 pounds of cheese = 1 pizza

1 1/4 pounds of cheese = x pizzas

Cross Multiply

1/8 × x = 1 1/4 × 1

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x = 5/4 ÷ 1/8

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3 years ago
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Answer:

-240

Step-by-step explanation:

500 - 800 + 60

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5 0
2 years ago
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3 years ago
13.......................
Alla [95]

Answer:

The answer is (d) ⇒ pq^{2}r\sqrt[3]{pr^{2}}

Step-by-step explanation:

* To simplify the cube roots:

 If its number then the number must be written in the form x³

 then we divide the power by 3 to cancel the radical

 If its variable we divide its power by 3 to cancel the radical

∵ \sqrt[3]{p^{4}q^{6}r^{5}}=p^{\frac{4}{3}}q^{\frac{6}{3}}r^{\frac{5}{3}}}

∴ p^{\frac{4}{3}}q^{2}}r^{\frac{5}{3}}=p^{1\frac{1}{3}}q^{2}r^{1\frac{2}{3}}

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