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lora16 [44]
3 years ago
14

A circle with area 81 has a sector with a central angle of 120 what is the area of the sector

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

  27

Step-by-step explanation:

The central angle of 120° is 1/3 of the entire circle of 360°, so the sector area is 1/3 of the circle area:

  1/3×81 = 27

The sector area is 27.

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A ramp leads up to a building. The top of the ramp is 5 feet above the ground, and the bottom is 15 feet from the building as sh
kirill [66]
To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2

Put in the values:
5^2 + 15^2 = c^2

Simplify it:
25 + 225 = c^2

Simplify again:
250 = c^2

Square root both sides:
15.8113883008 = c

So the ramp is:
15.8113883008 feet

Now round the number: 
15.8ft

The above is the answer :)
(btw sorry in advance if you've spotted a mistake)
8 0
3 years ago
A farmer builds a rectangular pen with a perimeter of 116-feet. If the length is 5 feet more than the width, what is the width
zavuch27 [327]

Answer:

The length would be 31.5ft and the width would be 26.5ft

Step-by-step explanation:

For the purpose of this, we'll set the width as x. We can then define the length as x + 5 since we know it is 5 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

P = 2l + 2w

116 = 2(x + 5) + 2(x)

116 = 2x + 10 + 2x

116 = 4x + 10

106 = 4x

26.5 = x

Now since we know that the width is 26.5ft, we can add 5ft to it to get the length, which would be 31.5ft.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

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2 years ago
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