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Trava [24]
3 years ago
14

What is the surface area of a sphere with a circumference of 30 ft? Round the answer to the nearest tenth. 286.5 ft^2 143.2 ft^2

71.6 ft^2 22.8 ft^2
Mathematics
2 answers:
posledela3 years ago
6 0
The answer is 71.6 ft^2.
It is given that 2πR=30 therefore R=4.77(aprox.)
Now you take the area formula:πR^2 which is equal to 71.6
Rainbow [258]3 years ago
6 0

Answer:

Surface area of a sphere= 286. 5 ft^2

Step-by-step explanation:

Find the surface area of a sphere with a circumference of 30 ft

Surface area of a sphere formula is 4\pi r^2

Circumference of circle =2\pi r

30=2\pi r

divide both sides by 2*pi

so r= 30/2pi

Surface area of a sphere formula is  4*\pi *(\frac{30}{2\pi})^2

=286.4789

Now round to nearest tenth

Surface area of a sphere= 286. 5 ft^2

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This can be mathematically expressed to
 250 + X  = 1075
where X represents the parts you produce before the shift ends
Transpose 250 to the other side by subtracting each side by 250
Thus, it goes like this
X = 1075 - 250
X = 825

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5 0
3 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
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Arlecino [84]

Answer:

width of rectangle is 87

Step-by-step explanation:

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3 0
3 years ago
What is 48 fluid ounces equal to pints
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5 0
3 years ago
Please help need to get to 80%
Shalnov [3]

Answer:

\frac{1}{6}

Step-by-step explanation:

First, start by converting 4 feet to inches. Note that 1 foot = 12 inches.

Set up a unit converter:

4\ ft(\frac{12\ in}{1\ ft})

The ft cancel out leaving us with:

4*12\ in=48\ in

Now, we can set up a scale factor...

\frac{drawing}{real\ length}=\frac{8}{48}=\frac{1}{6}

3 0
3 years ago
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