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marshall27 [118]
3 years ago
14

There are 10 golf balls in a rectangular prism. Each golf ball has a diameter of 1.25 inches. Find the volume of the golf balls

inside the prism.
A) 1.02in
B) 14.13in
C) 141.37in
D) 10.22in
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
The answer is D.

The formula for the volume of a sphere is \frac{4}{3}  \pi  r^{3} 

You would divide the diameter in half which would give you your radius (r).
Then you plug in the radius value to find the volume of ONE ball.
You would then multiply by 10 to find the volume of TEN golf balls.

D is the closest answer to the volume of ten golf balls 
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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)
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Answer:

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Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

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x = \frac{-b}{2a}

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x = \frac{-10}{2*1}

x = \frac{-10}{2}

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y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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