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Vera_Pavlovna [14]
3 years ago
10

Can someone help me?

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

Exact answer is 10.4ft ... approximation is 12ft

Step-by-step explanation:

The formula for volume of a sphere is as follows

v \:  =  \:  \frac{4}{3} \pi \: {r}^{2}

Simply plug volume in and solve for r to get the radius

113.04 =  \frac{4}{3} \pi \:  {r}^{2}

26.99 =  {r}^{2}

r  = 5.2

now simply multiply the radius by 2 to get the answer of 10.4ft

if you do the same calculation but switch 113.04 to 120 to do the approximation value you get 12ft

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The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

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Combinations of 3 from a set of 5. So

C_{5,3} = \frac{5!}{3!(5-3)!} = 10

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\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

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We have,

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

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