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2 years ago

13

A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally

across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)

1 answer:

alexdok [17]2 years ago

3 0

Answer:

300ft

Step-by-step explanation:

Pythagorean Theorem

180²+240²=c²

32400+57600=c²

90,000=c²

√90,000=c

300=c

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10/27 (3/8 divided by 5/24

GuDViN [60]

Answer:

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I hope this helps you!Step-by-step explanation:

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1 year ago

Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

$nP_r=\frac{n!}{(n-r)!}$

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

$_nC_r=\frac{n!}{(n-r)!r!}$

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

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7 months ago

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<h2><u><em>Do NOT try this you will crast and die none of us want that to happen to you!</em></u></h2>

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