We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the least amount of fencing material to be used.

Answers

Answer 1

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 =  -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L =  (75ft^2)/W

replacing with W = √(75ft^2)

L =  (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft


Related Questions

Can someone please help me answer this question asap thank you no links please thank you

Answers

Answer:

7 cm

24.5 cm

0.4 cm

69.91 cm

Please help if you know the answer please

Answers

The answer is a, 0.019 because there are zero ones and zero tenths and there are 19 hundredths.

Hope this helps
Please mark brainliest
Let me know if this is wrong
Have a good day
..;)

Answer:

i think the answer is b. 0.19

Step-by-step explanation:

let me know if this is incorrect

Can somebody help me answer this into Y=Mx +B

Answers

Answer: Slope intercept form

Step-by-step explanation:

m=slope

b=y-intercept

(HALP ILL GIVE BRAINLY!! ITS A MULTIPLE CHOICE)

Answers

Answer:

(1) is the answer

hope it helps

Step-by-step explanation:

(1)

It's the first one. Hope this helps!!

HELP PLS VERY IMPORTANT

Answers

I think its 1/u
Hope this helps

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A. When the team scored 52 points, the median number decreased.

Step-by-step explanation:

The median now is 88. Without the 52, (using the median formula,) it would become 88.5. Since 88.5 is larger than 88, it means the median decreased after 52 was added. There was no change when 91 was added.

Seventy-five 6th grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade? *

Answers

Answer:

300 students in total

Step-by-step explanation:

25% out of 300 is 75

300 - 75 (25%) = 225

25% (75) + 75% (225) = 100% (300)

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

300

Step-by-step explanation:

SOMEONE DO THIS QUICKLY! THIS IS DUE IN 30 MINS!

Answers

Answer:

2) a) Neither; b) Adjacent; c) Vertical; d) Adjacent; e) Neither; f) Vertical

3) Vertical, x = 135

4) Adjacent, x = 57

5) Adjacent, c = 45

6) Adjacent, x = 118

7) Vertical, x = 47

8) Adjacent, x = 58

9) Adjacent, x = 9.67

10) Adjacent, x = 10

11) Vertical, x = 20

Step-by-step explanation:

Evaluate each expression for a = 3, b = 4, and c = 6. bc + 5a​

Answers

Answer:

39

Step-by-step explanation:

bc+5a

Substitute values

(4)(6) + 5(3)

= 24 + 15

= 39

HELP PLEASE ASAPPPPP

Answers

I feel your struggle with volume I swear it the literal worst anykhooters ima solve this as quickly as I can :)!

Answer:

1 = A

2 = F

3 = I think maybe B

Step-by-step explanation:

Hope that this helps you out! :)            

If you have any questions please put them in the comment section below this answer.            

Have a great rest of your day/night!            

Please thank me on my profile if this answer has helped you.

A bicyde store costs $2400 per month to operate. The store pays an average of 570 per bike. The average selling price of each bicyde is $100. How many bicydes must the store soil each month to break even?
The store must sel bicycles each month to break even.
(Type a whole number)

Answers

Answer:

It can't buy a bike for 570 and sell it fo 100. They'll just be losing money on top of rent

Step-by-step explanation:

Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?

Answers

Answer:

Sorry, I can't help you with that :( I hope someone else can tho!

Step-by-step explanation:

What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx

2

+

2

1



xx, squared, plus, start fraction, 1, divided by, 2, end fraction, x ?

Answers

Answer:

1/16

Step-by-step explanation:

Given the expression;

[tex]x^2+\dfrac{1}{2}x[/tex]

To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x

Coefficient of x = 1/2

half of Coefficient of x = 1/2*(1/2)

Half of Coefficient of x = 1/4

square of the half of coefficient of x = (1/4)^2

square if the half of coefficient of x = 1/16

hence the constant that will make it a perfect square is 1/16

Find the perimeter. Simplify your answer.

Answers

Answer:

5c^2+2cd-2d^2-15

Step-by-step explanation:

Hello, to find the perimeter of any shape, you just add all the side together. In this picture, you would add all the sides up like this:

4c^2+4cd+12+-5d^2-5cd+2+c^2-d^2+1+3cd+4d^2-30

Then, combine like terms (add all of the numbers with the certain variable together) and you would get the answer which is:

5c^2+2cd-2d^2-15

Please help someone I need an answer

Answers

Answer:

Step-by-step explanation:

Right Isosceles Triangle

Side a = 9

Side b = 9

Side c = 12.72792 = 9√2

Angle ∠A = 45° = 0.7854 rad = π/4

Angle ∠B = 45° = 0.7854 rad = π/4

Angle ∠C = 90° = 1.5708 rad = π/2

hope you pass your retest ;)

PLSS HELP MEEE IVE BEEN TRYING ALL DAY TO GET THIS ANSWER AND NOTHING PLEASE SOMEONE HELP ME NO LINKSS!! Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark for the fraction bar
(-8,-7) (-7,-8)

Answers

Answer:

midpoint is (-15/2, -15/2)

Step-by-step explanation:

Finding the coordinates of the midpoint is easy.  All you have to do is find the average of the x-coordinates and the average of the y-coordinates of the endpoints of the segment.

So, in your case

(-8 - 7)/2 = -15/2 is the x-coordinate

(-7 - 8)/2 = -15/2 is the y-coordinate

Therefore, the midpoint is (-15/2, -15/2)

Answer:

(-7.5, -7.5)

Step-by-step explanation:

Remember that the formula is (x1+x2/2, y1+y2/2)

So, we know that -8 is x1 and -7 is y1. We also know that -7 is x2 and -8 is y2.

Lets plug this into our formula and see what we get.

(-8+-7/2, -7+-8/2)

Now lets find the x in the midpoint.

-8+-7/2 is equal to -15/2. This makes x equal to -7.5.

Now lets find the y in the midpoint.

-7+-8/2 is equal to -15/2 as well. This makes y equal to -7.5.

Now we can tell that the coordinates for midpoint will be:

(-7.5, -7.5)

MISCONCEPTIONS:

Always remember that midpoint is nothing like slope. The mid point is something you can point on a graph, wheareas slope is a function that can be lined on a graph.

The formulas for the two things are different as well. Slope is y/x, where you subtract the ys and xs from each other. In a way, midpoint is the exact opposite, which is adding the xs and ys together.

I hope this helps ;)

Good luck!

-8 = 4 ( x - 1 ) solve for x

Answers

Answer:

-1

Step-by-step explanation:

I need this rn pls no links I will report

Answers

Answer:

the answer is 8

Step-by-step explanation:

that is the answer "8"

The answer to your question is 8.

A store sells avocado for $2.80 per pound. What is the cost of a 2 1 pounds of avocado?
4

Answers

$58.80 you need to multiply 2.80 x 21 to get your answer

Anastasia has been accepted into a 4- year University as an architect student. She was offered a scholarship of $17,800 per year. The cost per year is $17,400 in tuition and fees, $10,350 for room and board, and 850 for books. What would the cost be after attending school for four years?

Answers

Answer:

256,800 I believe

Step-by-step explanation:

you add up all the numbers and multiply by 4

4(b-2)-10=2(b+3)
B=
PLEASE HELP ME!!!! Show work too

Answers

Answer:

B = 12

Step-by-step explanation:

Give Brainllest plz

Maria wants to know what time it is, but after looking at her analog clock, notices that the numbers are all missing! She notices that the minute hand is pointing straight up, and that the angle measure between the hour and minute hand is 90 degrees. If she knows that the time must be between 1:00 and 5:30, what time is it?

Answers

Answer:

3:00

Step-by-step explanation:

If the minute hand is pointing straight up, it means that the time is at an exact hour (ex. 1:00, 2:00, not 1:30, etc.).

If the angle between the hour and the minute hand is 90 degrees, then we know that the time is either 3:00 or 9:00.

However, because the time must be between 1:00 and 5:30, it must be 3:00.

I hope this helps!

3:00 is the answer my dude

I have 40 oranges i give 7 to john and 9 to bala what fraction did i give away reduce to the lowest term

Answers

Answer:

24.

Step-by-step explanation:

I think. I'm not sure sorry! I hope I helped a little though.

I don’t understand this. Please help

Answers

Answer:

x = 150

Step-by-step explanation:

(n-2)180       (n = the amount of sides)

(12 - 2)180

(10)180

1800

1800/12 = 150

HELP ASAP
Which number is IRRATIONAL?
A)
64
B)
V81
C)
96
D)
144

Answers

Answer:

All are rational numbers

Step-by-step explanation:

irrational numbers can't be expressed as a fraction.

96 is an irrational numbers

Jenny buys 22 sports drinks for her soccer team. They are in sale for $0.35 off per drink. Jenny paid $18.70 for the 22 sports drinks. How much is the original price of each drink

Answers

Total saved from 22 drinks=22x$0.35

=$7.70

Original price of 22 sports drinks=$18.70+$7.70

=$26.40

Original price of one sports drink=$26.40÷22

=$1.20

The price of each drink is $1.20.

a cylinder with radius 6 units as shown has a volume of 72 cubic units. What is the height of the cylinder?

•2/pie units
•6/pie units
•2pie units
•6pie units
?​

Answers

Using the formula you will get 2P units

If P(A) = .24 and P(B) = .52 and A and B are mutually exclusive, what is P(A or B)?
(a).1248
(b).28
(c).6352
(d).76

Answers

The Answer is D) 76

You place four orders for 50 tennis rackets which cost $65 per racket you receive all 200 rackets there is a delivery charge of $15 per order what is your average cost per racket including delivery charges

Answers

Answer:

65.30

Step-by-step explanation:

1. 50x4=200

2. 200x65=13,000

3. 13,000 + (15x4)

4. 15 x 4 = 60

5. 13,000 + 60

6. 13,060/200 = 65.3

Your average cost per racket including delivery charges is $65.30.

First step is to calculate the cost of 200 rackets

Cost of 200 rackets= 200 ×$65

Cost of 200 rackets= $13,000

Second step is to calculate the total delivery fee

Total Delivery fee= 15 × 4

Total Delivery fee=$60

Third step is to calculate the total cost including delivery cost

Total cost including delivery cost=$13,000 + $60

Total cost including delivery cos = $13,060

Fourth step is to calculate the Average cost

Average cost per rackets=$13,060/200

Average cost per rackets=$65.30

Inconclusion the average cost per racket including delivery charges is $65.30.

Learn more here:

https://brainly.com/question/11502325

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

XY i think

Step-by-step explanation:

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