Select the correct answer. What is this expression in simplest form? A. B. C. D.

ol McDonald would like to build a pin for his favorite pig horse and cow he needs to enclose a rectangular plot of land into thr

garri49 [273]

The area of the pen is the products of its dimensions

The dimension of the pen is 300 by 120 feet
The maximum area of the pen is 36000 square feet.

Let the dimension of the fence be x by y.

So, we have:

$\mathbf{2x + 5y = 1200}$ --- perimeter

$\mathbf{Area =xy}$ -- area

Subtract 5y from both sides of $\mathbf{2x + 5y = 1200}$

$\mathbf{2x = 1200 - 5y}$

Divide both sides by 2

$\mathbf{x = \frac{1200 - 5y}{2}}$

Substitute $\mathbf{x = \frac{1200 - 5y}{2}}$ in $\mathbf{Area =xy}$

$\mathbf{Area = \frac{1200 - 5y}{2} \times y}$

$\mathbf{Area = \frac{1200y - 5y^2}{2}}$

Split

$\mathbf{Area = 600y - \frac{5}{2}y^2}$

Differentiate

$\mathbf{A' = 600 -5y}$

Set to 0

$\mathbf{600 -5y = 0}$

Add 5y to both sides

$\mathbf{5y = 600}$

Divide both sides by 5

$\mathbf{y = 120}$

Substitute $\mathbf{y = 120}$ in $\mathbf{x = \frac{1200 - 5y}{2}}$

$\mathbf{x = \frac{1200 - 5 \times 120}{2}}$

$\mathbf{x = \frac{1200 - 600}{2}}$

$\mathbf{x = \frac{600}{2}}$

$\mathbf{x = 300}$

Recall that:

$\mathbf{Area =xy}$

So, we have:

$\mathbf{Area = 300 \times 120}$

$\mathbf{Area = 36000}$

Hence, the maximum area of the pen is 36000 square feet.

Read more about maximum areas at:

brainly.com/question/11906003

7 0

3 years ago

Given the vertices, determine the quadrilaterals most specific classification: Parrellogram, Rectangle, Rhombus, or square.

ankoles [38]

For this case what you must do to solve the problem is to do the following steps:
1) graph each ordered pair.
2) Join each of the ordered pairs.
3) see the type of dormated figure.
Note: see attached image.
Answer:
The quadrilateral is a square.

7 0

3 years ago

Pls help thank you and explanation plz

jeka94

Answer:

150.8 cubic inches

Step-by-step explanation:

The formula for volume of a cone is:

$V=\pi r^{2} \frac{h}{3}$

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So when we plug in the numbers:

$\pi$ × 16 × $\frac{9}{3}$ = 150.8

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Have a good day :)

3 0

3 years ago

The distance from a to b is 143 mi., and from b to c on another road, 57 mi. The distance from a to d is 143 mi., and from d to

bulgar [2K]

Answer:56

Step-by-step explanation:56

8 0

3 years ago

You can draw 2 cards from a deck of 52. Each card is numbered 1 number from the set {4,4,2,2,1,1,1,3}. What is the conditional p

alex41 [277]

Answer:

Step-by-step explanation:

Are the outcomes on the two cards independent? Why?

Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card. No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

7 0

2 years ago