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kaheart [24]
3 years ago
14

The homecoming dance is going to be held in the school gym which is 300 ft by 300 ft. The fire marshal requires 4

Mathematics
1 answer:
Monica [59]3 years ago
7 0

Find the area of the gym and divide that by the required space.

Area of gym: 300 x 300 = 90,000 square feet.

Number of people: 90,000 / 4 =  22,500

They can sell 22,500 tickets.

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42 less than the product of 28 and an unknown number is 154
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Will ran the diagonal distance across a square field measuring 40 yards on each side. James Ran the diagonal distance across A r
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Answer:

<u>Will</u> ran the longer distance.

He run <u>56.40 yards</u> longer distance.

Step-by-step explanation:

<u><em>The question is incorrect so the correct question is below.</em></u>

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance,and how much longer did he run?

Now, to find the person who ran longer distance and the distance he run.

Will ran the diagonal distance across a square field.

The length of square field = 40 yards.

So, we put formula to get the diagonal of square:

Diagonal=length\sqrt{2}

Diagonal=40\times \sqrt{2}

Diagonal=40\times 1.41

Diagonal=56.40\ yards.

Thus, Will ran 56.40 yards diagonal distance of the square field.

Now, James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards.

So, to get the diagonal of rectangular field we use pythagorean theorem:

Diagonal^2=length^2+width^2

Diagonal^2=25^2+35^2

Diagonal^2=625+1225

Diagonal^2=1850

<em>Using square root on both sides we get:</em>

Diagonal=43.01\ yards.

Hence, James ran the diagonal distance 43.01 yards across the rectangular field.

<em>Now, we see the diagonal distance of both Will and James.</em>

<em>As, Will ran 56.40 yards and James ran 43.01 yards.</em>

<em>So, Will ran longer distance than James. And he run 56.40 yards</em>.

Therefore, Will ran the longer distance.

He run 56.40 yards longer distance.

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