All categories

2 years ago

I need help on this question, think any of you guys could help?

Mathematics

1 answer:

levacccp [35]2 years ago

3 0

Answer:

We need to find the circumference, and in order to find the circumference we must know the formula for it.

Formula for circumference of a circle;

a = 2πr

Where π is the pi(3.14 or 22/7), and r is the radius which is half of the diameter.

Since we are given the diameter, we need to find the radius. So 1/2 of the diameter (26 x 1/2) = is 13

Now we just plug in the actual values in the formula:

a = 2πr

a = 2 x 3.14 x 13

a = <u>18.84 feet</u>

But now, we need to find how many revolutions it would take to get to 500 feet.

So we divide 500 feet by 18.84 feet;

500/18.84 = 26.53, around 27 revolutions.

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3 years ago

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

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x + y + z = 47 (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302 (2)

He purchases three times as many medium hats as small hats, hence:

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Represent equations 1, 2 and 3 in matrix form gives:

$\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]$

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

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3 years ago