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Bond [772]
3 years ago
7

The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width​

Mathematics
2 answers:
Inessa05 [86]3 years ago
5 0

Answer:

35

Step-by-step explanation:

Make equations, l = w+5 and 2l + 2w = 150

Substitute w+5 into 2l + 2w = 150

Simplify to get 4w + 10 = 150

Subtract 10 from both sides to get 4w = 140

Divide both sides by 4 and you get 35 as width

VikaD [51]3 years ago
5 0

Answer:

The width of the field is 35 meters.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by:

\displaystyle P = 2(w+\ell)

Where <em>w</em> is the width and <em>l</em> is the length of the rectangle.

We know that the perimeter is 150 meters. Thus:

150=2(w+\ell)

Divide both sides by two:

75=w+\ell

We are given that the length is five meters longer than the width. So:

\ell = w+5

Substitute:

75=w+(w+5)

Combine like terms:

75=2w+5

Subtract five from both sides:

70=2w

And divide both sides by two. Hence:

w=35

Thus, the width of the rectangular field is 35 meters.

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The local minima of f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2} are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

<h3>How to determine the local minima?</h3>

The function is given as:

f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)

Read more about graphs at:

brainly.com/question/20394217

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Ari is setting up a fish tank for his goldfish. The tank holds 15 gallons of water. If each gallon of water weighs 8.3 pounds, h
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Answer:

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