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4 years ago

8

The hamers plan to add a rectangular shaped pool

1 answer:

Morgarella [4.7K]4 years ago

8 0

The correct answer would be C. Hope this helps=)

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

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,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

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

a=-2
b=640

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!

3 0

3 years ago

What fraction would you use to find 66.66% of 72?

Soloha48 [4]

I don't think you use a fraction. You multiply .6666 by 72 which equals 47.9952 or rounded 48. :)

6 0

3 years ago

Find the second derivative of the function P(t) =(2t+4)/(t+1)

vitfil [10]

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative

3 0

3 years ago

One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit

Rasek [7]

We are given

$N=\frac{11}{60} (F-32)$

Since, we have to solve for F

so, we will isolate F on anyone side

step-1:

Multiply both sides by 60

$60\times N=60\times \frac{11}{60} (F-32)$

$60N=11 (F-32)$

step-2:

Divide both sides by 11

$\frac{60N}{11} =\frac{11(F-32)}{11}$

$\frac{60}{11}N =F-32$

step-3:

Add both sides by 32

$\frac{60}{11}N+32 =F-32+32$

$\frac{60}{11}N+32 =F$

so, we get

$F=\frac{60}{11}N+32$ ................Answer

5 0

3 years ago

-5 ( p + 3/5) = -4 <br><br> topic is solving 2 step equations

lesya692 [45]

Answer:

1/5

Step-by-step explanation:

5 0

3 years ago