Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)

Answers

Answer 1

Answer:

Step-by-step explanation:

P = 2b + a = 100

A = b * a

a = 100 - 2b

A = b(100 - 2b) = 100b - 2b^2

dA/db = 100 - 4b

100 - 4b = 0

b = 25

a = 50


Related Questions

Ava borrows $600 to buy a bike at a yearly simple interest
rate of 2.25%. Ava borrows the money for 3 years. How much does Ava
pay in all?

Answers

Answer:

Ava has to pay in all $640.50

Step-by-step explanation:

.0225×600×3= $40.50

600+40.50=640.50

Hope this helps!

Please help me what is it

Answers

Answer:

13/14

Step-by-step explanation:

3/7 x 2/2 = 6/14

1/2 x 7/7 = 7/14

6/14 + 7/14 = 13/14

Answer:

1/14

Step-by-step explanation:

What is exactly between 2 and 3 on a number line?
A. 1.5
B. 3.5
C. 2.5

Answers

Answer:

2.5 my guy

Step-by-step explanation:

C. 2.5
bcs if you have a line btwn 2 and 3, 2 and a half would be right in btwn it

(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answers

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

Can somebody help me out with my homework my grades are bad

Answers

Answer:

Ok I can help you out.

What is the homework?

Step-by-step explanation:

Hope I can help! :)

Yes, what is the question?

Which pair of equations below is a result of constructing the altitude, h, in traingle ABC?

Answers

Answer:

sinA = h/c; sinC = h/a

Step-by-step explanation:

Which pair of equations below is a result of constructing the altitude, h, in Triangle ABC?

sinA= h/c

sinC= h/a

sinA= h/c

sinB= b/c

sinA= b/c

sinC= b/a

Solution:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

In right triangle, trigonometric identities are used to show the relationship between the sides of a triangle and the angles.

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite / adjacent

Therefore in triangle ABC:

sinA = h/c;  sinC = h/a

Answer:

A

Step-by-step explanation:

Pls answer fast pls pls test

Answers

Step-by-step explanation:

2a)3+x/4=5

or,12+x/4=5

or,12+x=20

or,x=20-12

therefore,x=8

The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot​

Answers

Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

[tex]V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft[/tex]

So, the width of the prisim is equal to 2.23 feet.

PLEASE HELP

the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow​

Answers

Answer:

Step-by-step explanation:

what

Larry hos
a $100 gift card to spend at a toy store.
He spends the same amount
every month on toys
When will be hove So left?
Explain how you know

Answers

Answer:

Well it can be multiple choices, but I say people are most likely to spend 25 dollars. So it will take him 4 months to have $0

Step-by-step explanation:

Ari writes down two numbers. The total is 37. The difference between them is 14.
What are the numbers?

Answers

Answer:

11.5 & 25.5

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

A landscaper waters a lawn during the summer.
He wants to know how much water is being used
per minute. He records the amount of water used
in the table.
PLEASE NO LINK.

Answers

Answer:

Step-by-step explanation:

D bc yes

need help ace plsssz​

Answers

Answer:

150 multiply the 2 numbers

hope this helps

have a good day :)

Step-by-step explanation:

Please please help me please

Answers

Answer:

If the percentage is 20%, the down payment is $177,100

If the percentage is 10%, the down payment is $88,550

Step-by-step explanation:

This is a terrible question, in my opinion, unless they gave more information at the top of the page. A down payment on a house can be anywhere from 3.5% to 20%

Let's go with the 20%

885,500 x 0.20 = 177,100

Can someone help with work included!!

Answers

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.

Cindy borrowed $950 to repair her car. She will pay the money back in 9 months at 9% simple interest. How much total money will Cindy repay?

Answers

Answer:

64.13

Step-by-step explanation:

7.13 would be the monthly interest, so mulitiplying that by 9 should give u a 64.13

a parallelogram is transformed according to the rule (x , y)

Answers

Answer:

hi how are you doing today Jasmine

what is the question?


please let me know and I’ll help ASAP!

-(23/47)

Which of the following is equivalent to the given number?
ASAP

Answers

Given:

The number is:

[tex]-(\dfrac{23}{47})[/tex]

To find:

The number that is equivalent to the given number.

Solution:

In option A,

[tex]-(-\dfrac{23}{47})=\dfrac{23}{47}[/tex]            [tex][\because (-)(-)=(+)][/tex]

In option B,

[tex]\dfrac{23}{-47}=-\dfrac{23}{47}[/tex]

In option C,

[tex]\dfrac{-23}{-47}=\dfrac{23}{47}[/tex]

In option D, we have

[tex]\dfrac{23}{47}[/tex]

The numbers in options A, C and D are equivalent to [tex]\dfrac{23}{47}[/tex]. So, options A, C and D are incorrect.

The numbers in options B is equivalent to [tex]-(\dfrac{23}{47})[/tex]. So, option B is correct.

Therefore, the correct option is B.

Junie earns $7.25 working at The Dollar Mart. Junie is saving the money that she earns to purchase a computer that costs $450. Which inequality represents the number of hours (h) that Junie would have to work in order to have enough money to buy the computer?

A. 7.25 + h > 450
B. 7.25h > 450
C. 7.25h ≥ 450
D. 450 – h ≥ 7.25

Answers

The answer would be C

Please give brainliest of im right i need 3 more to rank up

AGAIN PLZZZZZZ HELPP MEEEEEEEEE

Answers

Answer:

Hi, there your answer is

Question5: B.(x+3)(x-10)

Queston 6: D.(2x-2)(x+3)

Step-by-step explanation:

1. Please help !!! Provide work if possible !

Answers

Answer:

73

Step-by-step explanation:

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)? x < –2.5 x > 2.5 (–2.5, [infinity]) (–[infinity], 2.5)

Answers

Answer:

x > -2.5 (-2.5, infinity)

Step-by-step explanation:

Given the inequality expression

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4

Expand

15.3 + 11.22x > -14.25 - 10.2x - 24

15.3 + 11.22x > -38.25 - 10.2x

Collect the like erms

11.22x + 10.2x > -38.25 - 15.3

21.42x > -53.55

x > -53.55/21.42

x > -2.5 (-2.5, infinity)

This gives the required solution

Answer:

(-2.5, infinity)

Step-by-step explanation:

correct on EDG

what is 3 1/3 divided by 2

Answers

Answer:

1 and 2/3

Step-by-step explanation:

1+1=2 and 2/3 +2/3 = 4/3 so all is 3 and 1/3

Answer:

1 2/3 or 5/3

Step-by-step explanation:

3 1/3=10/3 (10/3)/(2/1)=(10/3)/(1/2)=10/6=5/3 Improper:5/3 Mixed:1/23

Match the Algebraic expressions with the type of transformation.

Answers

Answer:

2 no.reflection

6 no diliation

8 no reflection

7 no rotation

5 no rotation

3 no rotation

4 no translation

9 no translation

Step-by-step explanation:

A data set is made up of these values.
8, 10, 11, 13, 14, 16, 17
Find the interquartile range,
O A. 17 - 13 = 4
B. 10 - 8 = 2
O C. 16 - 10 = 6
D. 17 - 8 = 9

Answers

Answer:

C

Step-by-step explanation:

I took the test on A p e x

Hope this helps!

I’ll give out brainlest to whoever answers this correctly!!

Answers

Answer:

7

Step-by-step explanation:

4x3.5=14

14x 1/2 = 7

Answer:

7 ft

Step-by-step explanation:

you multiply both sides so 4 x 3.5 = 14

and given it is a triangle you have to multiply by 1/2

so 14 x 0.5 = 7

that is your answer

Find the center and radius of this
circle.
(x - 2)2+(y + 3)2 = 36

Answers

Answer:

(x-a)² + (y-b)² = r²

C(a,b) -> C ( 2 , -3 )

r² = 36 ... r = 6

Answer:

The answer is 2 then -3 and last 6

Step-by-step explanation:

Put in 2 then -3 and last 6 You welcome

Find the total cost of these items, including tax. Round

to the nearest hundredth.

the

Water bottle:

Flashlight:

LE

EVE ELEVE

LE

EL

Answers

Answer:

Flashlight ;  = $2.99

Water bottle = $1.50

Toothbrush = $1.29

Compass = $3.29

Step-by-step explanation:

Sales tax = 7%

Item: _____ price

Flashlight ;  = $3.20

Water bottle = $1.61

Toothbrush = $1.38

Compass = $3.52

Total cost = price of item + sales tax

Sales tax = 7%

Total cost = (1 + 7%) * price of item

Total cost = (1 + 0.07) * price of item.

Total cost = 1.07* price

Flashlight = 1.07*1.29 = $3.20

Water bottle = 1.07*1.50 = $1.61

Toothbrush = 1.07*1.29 = $1.38

Compass = 1.07*3.29 = $3.52

Please help me with my work and I’ll give brainlessly

Answers

Answer:

Step-by-step explanation:

volume=15×5×5+8×4×5+8×4×5

=375+160+160

=695 m³

Answer:

695 m^3

Step-by-step explanation:

With this object, there are three rectangular prisms. The equation to find the volume of them is L*W*H.

So, with the small one in the front, the sides are 8, 4, and 5, so do:

8*4*5 ---> 160

Next, with long middle one, the sides are 5, 5, and 15, so do:

5*5*15 --->375

Then, with small one in the back, 8, 4, and 5 again, so do:

8*4*5 ---> 160

To finish it off, add them all together.

160 + 375 + 160 = 695 m^3

An artist receives royalties for all digital downloads of his music. For the first 10,000 downloads, the artist receives $10,000. He receives $12,500 for the next 10,000 downloads, $15,000 for the next 10,000 downloads and so on. How much money will he receive if his music is downloaded 500,000 times?

Answers

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

[tex]\frac{2500}{10,000}[/tex]. This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

[tex]\frac{2500}{10000}=\frac{x}{500000}[/tex] and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

[tex]\frac{$}{#}[/tex]

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