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Vsevolod [243]
3 years ago
9

How to solve this problem​

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
3 0

To solve this take (83+1/3) times 10^-2 and then multiple that value by 375. The answer is 312.5

natka813 [3]3 years ago
3 0
<h2>Answer:</h2>

<u>The answer is </u><u>311.25</u>

<h2>Step-by-step explanation:</h2>

Converting 83 1/3 to simple fraction we get

83 1/3 = 83

Now 83 % of 375 will be

83/100 * 375

= 311.25

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Answer:

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Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

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Since our function is A(L)=640L-2L², we get

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plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

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