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SVEN [57.7K]
3 years ago
14

The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin

t, 5, right parenthesis, squared, plus, left parenthesis, y, minus, 3, point, 5, right parenthesis, squared, equals, 16 What is its center? ((left parenthesis ,,comma ))right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

(x-0.5)^{2} +(y-3.5)^{2} =16

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

r^{2} = 16\\r=\sqrt{16}\\ r=4

Therefore, the radius is 4 units long.

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7 0
1 year ago
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. Wha
xz_007 [3.2K]

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + \sqrt{h^{2}+r^(2) })
(r: radius, h: height, πr^2 is the area of the base of the cone, πr\sqrt{h^{2}+r^(2) } is the lateral area of the cone). So:

A = 15\pi (15 + \sqrt{30^{2} +15^{2}  } ) ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

AL=15\pi \sqrt{30^{2} +15^{2} } ≈ 1580.58 ft^2.

5 0
2 years ago
Please help me<br>no links or I WILL report you<br>thank you in advance​
mafiozo [28]

Answer:

the answer is 24 because if you 6 x 4 it's 24

also with 4x6 it's still 24

plz give me a brailnliess

Step-by-step explanation:

4 0
2 years ago
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Step-by-step explanation:

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3 years ago
A ski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured skier. In how many w
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21

Step-by-step explanation:

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