A homeowner has 32 feet of fencing to build three sides of a rectangular chicken coup. One side of the chicken coup will be against the barn, so the 32 feet of fence will only be used for three sides.
What are the ideal length and width of the chicken coup that would maximize its area?

Answers

Answer 1

Answer:

The ideal length is 16 feet

The ideal width is 8 feet

Step-by-step explanation:

The given parameters are;

The length of the fencing available to the homeowner = 32 feet

The number of sides of the rectangular chicken coup the fence will be applied = 3 sides

Let L represent the length and W, represent the width

Therefore, we have;

The perimeter of the fence = 2W + L = 32 feet

L = 32 - 2·W

The area is given by, A = Length, L × Width, W

A =   (32 - 2·W) × W = 32·W - 2·W²

Differentiating with respect to W and equating to 0 to find the maximum point gives;

dA/dW = d(32·W - 2·W²)/dW = 0

32 - 4·W = 0

4·W = 32

W = 32/4 = 8

W = 8 feet

Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point

The ideal width W = 8 feet

The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet

Therefore, the ideal length, L = 16 feet.


Related Questions

The graph shows the volume of water in a sink, x minutes after the faucet is turned on.

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Answer:

Conner is correct.

Step-by-step explanation:

Answer:

Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.

Step-by-step explanation:

Brainliest! Correct! Fast!

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Answer:

c or the third one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28

Answers

Answer: 28

Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28

Answer:

the answer is D $28

Step-by-step explanation:

subtract (9z^3-12) - (-3z^3)

Answers

I looked it up, does this look right to you?

Solve for the missing angle measures

Answers

Answer:

Set 1 angles a and c are 62

Set 2 angles b and d are 120

Step-by-step explanation:

angle a = angle c = 62

angle b = angle d = 120

help me pleaseeeeeee

Answers

Step-by-step explanation:

Similar triangles

[tex] \frac{6}{uv } = \frac{8}{3} [/tex]

uv=18/8

uv= 2.25

What is the equation of the line in the graph?

Answers

Answer:

                                                                                                                                         

Step-by-step explanation:

Consider the procedure used below to solve the given equation.
Given: 5(2x - 5) + 2x+8 = 43
Step 1: 10 - 25 + 2 + 8 = 43
Step 2: 12r - 17 = 43
Step 3: 12r = 43 +17
Step 4: 121= 60
Step 5: x=5
Which statement about the solution of the given equation is true?
The first mistake was made in Step 1.
The first mistake was made in Step 2
The first mistake was made in Step 3
Each step is correct.

Answers

The first mistake was made in step 1 because they took out the x’s it should be 10x-25+2x+8=43

what is 100 times 7 plus 23

Answers

100 times 7= 700 any number times 100 you would add two zeros, 700+23=723

Hope this helps :]

I need help with this ok thanks I’m having a real hard time
BRANLIEST if you get thanks :)

Answers

Answer:

1-11  2-4   3-14  4-9  5-8  6-12  7-15

Step-by-step explanation:plz mark brainliest

Answer:

7+3=10

5+3=8

9+2=11

3+1=4

9+5=14

5+4=9

6+2=8

4+8=12

8+7=15

To take the best notes in his science class, Jonas should sit next to his friends so they can share notes. near the front so he can see and hear the teacher. in the back of the room so he can watch everything. behind the smartest student so he can copy their notes.

Answers

Answer:

B. sit near the front so he can see and hear the teacher

Answer:

The person on top of me is correct ^

Step-by-step explanation:

Hope this helps! :)

5 and 4/5 as an improper fraction!

ANSWER ASAP! * 10 points *​

Answers

Answer:

29/5

Step-by-step explanation:

5 4/5=(25+4)/5

29/5

Hope I helped! Please mark Brainliest!!!

Answer: The answer is [tex]\frac{29}{5}.[/tex]

Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:

Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]

Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]

Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]

Conclusion Step-By-Step Explanation:

Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]

I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)

Answers

Answer:

Step-by-step explanation:

A = p + prt solve for t

Answers

Answer:

t = [tex]\frac{A - p}{pr}[/tex]

Step-by-step explanation:

A = p + prt

A - p = p - p + prt

A - p = 0 + prt

A - p = prt

[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]

[tex]\frac{A - P}{pr}[/tex] = t

Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%

Answers

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]

            [tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

please fill in the blanks i need this

Answers

Answer:

110

242

Step-by-step explanation:

To get the amount for Number of ships 5. you do 5*22.

Same for the the #11. you do 11*22.

Also, Pick me as the smartest please.

pls help thanks you :)

Answers

1. x = 3
2. x = 0.6666
3. x = 0.3333
4. x = 8

Answer:

1) x=3

2) x=2

3) x=3

4) x=8

Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.

1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

versus

2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.





answer choices:

A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.


B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.


C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.


D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.

Answers

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x=3

Step-by-step explanation:

BRAINLIEST plzzzzzzzzzzzzzzzzzz

A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?

Answers

Answer:

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Step-by-step explanation:

System of Equations

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Answer:

5% raisin mix: 800 lbs

20% raisin mix: 200 lbs

Step-by-step explanation:

Let number of 5% be x; and number of 20% be a.

x + y = 1000

5% · x + 20% · y = 8% of 1000 pounds

0.05x + 0.2y = 80

x = 1000 - y

0.05(1000 - y) + 0.2y = 80

50 - 0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

x = 1000 - 200

x = 800

(problem is on the picture included) Solve for x

Answers

Answer:

x=6

Step-by-step explanation:

Since it's a parallelogram both of these parallel sides are equal so you can set up an equation like this:

4x-8=2x+4

Now solve.

4x=2x+12

2x=12

x=6

The quotient of a number and (-3) is (-80) Find the number.

Answers

Answer:

240

Step-by-step explanation:

Hey, um i need help really bad i will give a brainlist Thx!!

Answers

Answer: I believe that you highlight "An amazing dancer, Lisa Simpson"

sorry if I'm

wrong....

Please help me nobody will help me with this please

Answers

Answer:

[tex]24[/tex]

Step-by-step explanation:

Each bottle of water costs $2 so we multipy 12 by 2.

[tex]12[/tex]×[tex]2=24[/tex]

The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?

Answers

20 percent discount !!!

find the measurement of the diagonal if vt=22, then ZT=?

Answers

Answer:

ZT = 11

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

[tex] \therefore ZT = \frac {1}{2} \times VT\\\\

\therefore ZT = \frac {1}{2} \times 22\\\\

\therefore ZT = 11\\\\[/tex]

It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?

Answers

46.80/13 =
3.60
$ 3.60 per gallon
Your answer would be $3.60 per gallon!

You divide $46.80 by 13 and get your answer ! Hope I helped :)

30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.

Answers

Answer:

Step 1: Use slope formula* to determine slope (or m) using both points given.

[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]

Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.

[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]

Step 3: Now we can set up an equation of this line in slope-intercept form.

[tex]y = 2x + 5[/tex]

*Slope formula: y₂ - y₁/x₂ - x₁

**Slope-intercept formula: y = mx + b

Answer:

The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.

Step-by-step explanation:

What is greater 11/12 or 2 1/3

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Answer:

2 1/3

Step-by-step explanation:

HELP ME FOR BRANLIEST

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Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does

Step-by-step explanation:

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