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mina [271]
3 years ago
7

A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed

?
Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

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Pie

Answer:

$7315

Step-by-step explanation:

To find the depreciation expense, we use this formula:

Depreciable cost ÷ useful life time

Depreciated cost = $51,208

Life time = 7 years

51,208 ÷ 7 = 7315.42857

This means that $51,208 were lost over the 7 years, meaning $7315 were lost every year.

5 0
3 years ago
A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inc
ruslelena [56]

Answer:

$16,725.21

Step-by-step explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the  sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

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= 15,778.5 * 1.06

= $16,725.21

6 0
3 years ago
Find the area of a circle with a diameter of
Aneli [31]

Answer:

28.27433

Step-by-step explanation:

d= 6

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3 0
3 years ago
Read 2 more answers
The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is?
djverab [1.8K]

The value of n that satisfies the inequality is 6.

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

4n − 12 < 2n + 2

For n= 6

4(6) - 12 = 12

2(6) + 2 = 14

Thus, n=6 satisfies

For n= 7

4(7) - 12 = 16

2(7) + 2 = 16

Thus, n=7 not satisfies

For n=8

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2(8) + 2 = 18

Thus, n=8 not satisfies.

For n= 9

4(9) - 12 = 24

2(9) + 2 = 20

Thus, n=9 not satisfies.

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

6 0
2 years ago
What are the vertical asymptotes of the function f(x) = the quantity of 5 x plus 5, all over x squared plus x minus 2?
tia_tia [17]
So basically 5x+5/(x)(x)-2.  the integers involving vertical movement I think would be 5 and -2
3 0
3 years ago
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