1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SOVA2 [1]
3 years ago
10

A farmer wants to fence a rectangular area of 128 square feet next to a river. Find the length and width of the rectangle which

uses the least amount of fencing if no fencing is needed along the river. Assume the length of the fence runs parallel to the river.
Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

Length=16 ft

Width=8 ft

Step-by-step explanation:

Let width be w and length will be 128/w since area is product of length and width

Perimeter will be w+w+128/w. Note that along the river, fencing isn't needed that is why perimeter equals 2w+128/w

Getting the first differential of perimeter with respect to w then

2-\frac {128}{w^{2}}

At critical point

2-\frac {128}{w^{2}}=0

2=\frac {128}{w^{2}}

w^{2}=64\\w=8

Therefore, since length is 128/w, length is 128/8=16 ft

Therefore, maximum length and width are 16 ft and 8ft respectively

You might be interested in
I WILL MARK YOU AS BRAINLIST PLEASW HELPPP
Nutka1998 [239]

Answer:

A = 30

Step-by-step explanation:

it's a 30,60,90 triangle by the sides but to prove it:

sohcahtoa

cos A = 3√2/2√6 = 4.24/4.899 = .865

A = 30°

8 0
3 years ago
What is 19% of 72? I NEED TO KNOW HOW YOU GOT THE ANSWER TO!!
irinina [24]
First you must multiply the number by the percent. (19*27= 513)
Then you divide the answer by 100, or move decimal two places to the left. (513/100= 5.13)
Then round to the nearest whole number (5.13 is approximately 5)
Therefore 19%of 27 = 5
:)
4 0
3 years ago
What will be the coordinates of N after a 90 degree counterclockwise around the origin
Virty [35]

Answer:

The original point (x , y) —> the point rotated (-y , x)

Step-by-step explanation:

8 0
3 years ago
Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5
jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

-x-y=7 -----> isolate the variable y

y=-x-7 ----> equation A

5x-5y=5 -----> isolate the variable y

y=x-5 ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

5 0
3 years ago
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without retur
Elena-2011 [213]

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

5 0
3 years ago
Other questions:
  • In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th
    9·1 answer
  • Nicole has a box of pencil 1/4 of the pencil is red,3/8 are yellow and the rest is green.
    5·2 answers
  • The area of a rectangle is 54cm.the length is 2cm more than a x and the with is 5cm less than twice x.solve for x
    8·1 answer
  • Shen drove 780 miles in 12 hours. At the same rate, how many miles would he drive in 5 hours?​
    10·1 answer
  • How do you find the midpoint
    7·1 answer
  • Solve the equation 4 x/4 = 48 for x. Give the exact solution and an approximation to three decimal places.
    15·1 answer
  • (don't understand but I think its easy)Which of the following relations is a function?
    13·2 answers
  • Help me on 4 please and thank u
    10·1 answer
  • What's <br> 9 + (28 − 2) ÷ 0.2
    12·1 answer
  • Pls help. need explanation too pls
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!