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amid [387]
3 years ago
8

A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?

Mathematics
2 answers:
lianna [129]3 years ago
4 0

Answer:

The area of the sector is 12.8\pi\ units^2

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2

Bumek [7]3 years ago
4 0

Answer: 12.8pie

Step-by-step explanation:

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Sever21 [200]

Answer:

$900

Step-by-step explanation:

Use the formula for simple interest:  i = p r t, where i is the interest earned, p is the principal amount, r is the interest rate as a decimal fraction, and t is the time in years.

Here, i = $27 = p(0.015)(2), or

               $27 = 0.03p

Dividing both sides by 0.03, we get:

p = $27 / 0.03 = $900

The principal, in this situation, was $900.

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3 years ago
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MArishka [77]
It equals 2 I did it
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Fed [463]

Answer:

thx enjoy your day/night

Step-by-step explanation:

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2 years ago
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ruslelena [56]
32/3 = 10 & 2/3.

Therefore 32/3 = 10 & 2/3 as a mixed number.
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Read 2 more answers
The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find
maksim [4K]

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

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3 years ago
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