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3 years ago

Please help me out please

Mathematics

2 answers:

grandymaker [24]3 years ago

8 0

Answer:

$\frac{500\pi }{3}$ ft³

Step-by-step explanation:

The surface area of a sphere = 4πr², hence

4πr² = 100π ( divide both sides by 4π )

r² = 25 ( take the square root of both sides )

r = $\sqrt{25}$ = 5, hence

V = $\frac{4}{3}$ πr³

= $\frac{4}{3}$ π × 5³

= $\frac{4}{3}$ π × 125 = $\frac{500\pi }{3}$ ft³

____ [38]3 years ago

6 0

Answer:

(500π)÷3

Step-by-step explanation:

area=4πr^2 , volume=4(πr^3)÷3

area=100π ,so r=5

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vfiekz [6]

Answer:

Part A, one solution

Part B, x=3

Step-by-step explanation:

divide both sides of the equation by 7 (5x-13=2)

move the constant to the right hand side and change its sign (5x=2+13)

add numbers (5x=15)

divide both sides of the equation by 5 (x=3)

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2 years ago

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

3 years ago

PLS HELP The positions of two divers from the water's surface after a dive are shown: Justine: −10 feet Mina: −13 feet Which ine

malfutka [58]

Answer:

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Stolb23 [73]

Answer:

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Step-by-step explanation:

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3 years ago

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