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Marina CMI [18]
3 years ago
15

It rained 4.2 inches in 12 hours. At this rate, how much will it rain in 27 hours?

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

9.45 inches

Step-by-step explanation:

We should make a proportion for this one.

4.2/12=x/27

Now we cross multiply.

12x=113.4

Now we divide both sides by 12.

x=113.4/12

We solve 113.4/12.

x=<u>9.45 inches</u>

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3 years ago
A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
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The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

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The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

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