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3 years ago

A sector with an area of 30(pi) cm^2 has a radius of 10 cm.

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

Answer:

108°

Step-by-step explanation:

The area of a sector is given by the formula ...

A = (1/2)r²θ . . . . . where θ is in radians

Solving for θ, we find ...

θ = 2A/r²

For your given sector, the central angle is ...

θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians

π radians is 180°, so the central angle in degrees is ...

θ = (0.6)(180°) = 108°

The central angle measure of the sector is 108°.

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2 years ago

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Spotlight Dance increased the number of dancers on its competition team. Last

Nana76 [90]

Answer:

80%

Step-by-step explanation:

To find percentage increase, we use the following formula:

Percentage Increase = $\frac{New-Old}{Old}*100$

Here

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Old means the previous value (which is 10 dancers)

The Multiplication by 100 is to convert the decimal answer to percentage.

So, we have:

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Now we substitute and find:

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3 0

3 years ago

Pls explain how to solve it!

Sophie [7]

Answer:

a = jd

Step-by-step explanation:

We want to solve for a given that a/d = j

To do so we want to isolate a (get a by itself )

We can do this by using inverse operations.

We would want to get rid of the d

A is being divided by d.

The inverse of division is multiplication so to get rid of the d we multiply a/d by d but whatever we do to one side we must do to the other so we multiply both sides by d

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2 years ago

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salantis [7]

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