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
Ksenya-84 [330]
2 years ago
8

A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral

lel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.
Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

  F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

<h3>Area</h3>

The area of the rectangle will be the product of its dimensions:

  A = LW

Using the given values, we have ...

  13.5×10^6 = xy

Solving for y gives ...

  y = (13.5×10^6)/x

<h3>Perimeter</h3>

The perimeter of the rectangle is the sum of the side lengths:

  P = 2(L+W) = 2(x+y)

<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

  F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

  F = 3x +(2.7×10^7)/x

__

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

You might be interested in
A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the f
aleksandrvk [35]

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

6 0
2 years ago
WILL GIVE BRAINLIEST!!!What is the simplified form of 15 times x to the sixth power over 20 times y to the fifth power times the
schepotkina [342]
15x^6/20y^5 * 6y^2/5x^4 when simplified becomes 9x^2/10y^3
4 0
3 years ago
Read 2 more answers
How much greater than m2+3mn−n2 is 4m2+5mn+6n2?<br> PLEASE HELP
tiny-mole [99]

Answer:

3m² + 2mn + 7n²

Step-by-step explanation:

Subtract m² + 3mn - n² from 4m² + 5mn + 6n², that is

4m² + 5mn + 6n² - (m² + 3mn - n²)

= 4m² + 5mn + 6n² - m² - 3mn + n² ← collect like terms

= 3m² + 2mn + 7n²


5 0
3 years ago
If lines m and n are parallel in the illustration below. Which of the following must be true about
qwelly [4]

Answer:

Step-by-step explanation:

Answer  C  is correct:  Angle T is 95°.

Because the two horiz. lines are parallel, the "vertical angle" of angle T is equal to the "corresponding angle" of 95°.

6 0
3 years ago
Read 2 more answers
A 4 x 5 x 8 rectangular prism is cut parallel to one of its faces into two prisms. Which could be the dimensions of the resultin
ivolga24 [154]

Answer:

<u><em>d</em></u>

Step-by-step explanation:

because if you. 5 x 2 x 4; 6 x 4 x 5=<u><em>equals your answer as the one up in the question </em></u>if you don't trust me use calculator.then you'll see which is 160.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Ben and Susan are truck drivers who start at the same location. Ben drives 300 miles due west and Susan drives 160 miles due sou
    15·1 answer
  • What is the probability of spinning green on the first spinner and blue on the second spinner?
    6·2 answers
  • On Saturday, Craig rode his bike 5/8 of a mile. On Sunday, he rode his bike 1/2 of a mile. Craig added 5/8 + 1/2 to find the tot
    15·1 answer
  • Can someone help me with this spring crossword
    10·1 answer
  • What is 50,935 divided by 5?
    11·2 answers
  • 783/32 as a mixed number
    15·2 answers
  • Mr jean bought 4 packs of pens. Each pack had 4 pens. He gave 5 to Mrs Fishback and kept the rest. How many pens does Mr jean ha
    10·1 answer
  • HELP IM GOING TO HAVE A MENTAL BREAKDOWN
    13·1 answer
  • Free points insta: (jqyneii) lol- giving Brainliest to the first person
    9·2 answers
  • Whats the vertex for y=2x^2 -4x-2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!