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
kondor19780726 [428]
4 years ago
12

A farmer wants to build a fence enclosing a rectangular region bordering a river. If the farmer has 500 feet of fencing, find th

e maximum area that can be enclosed.
Mathematics
1 answer:
Romashka [77]4 years ago
4 0

Answer:

31,250 ft²

Step-by-step explanation:

Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...

... A = x(500-x)/2

This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.

The maximum size pen has area ...

... A = 250(500 -250)/2 = 31,250 . . . . sq ft

You might be interested in
I need help on this question
MA_775_DIABLO [31]

Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

7 0
3 years ago
Can someone tell me the slope ?
borishaifa [10]

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, \frac{y_2 - y_1}{x_2 - x_1}. x_1 and y_1 represent the x and y values of the first point, respectively. x_2 and y_2 represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, x_1 = 2, y_1 = 8, x_2 = 0, and y_2 = 0. Let's substitute those values into the formula and solve to get the slope:

m  = \frac{0-8}{0-2}

\frac{-8}{-2}

4

So, the slope is 4.

3 0
3 years ago
Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the ne
Colt1911 [192]

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

8 0
2 years ago
The ratio of boys to girls in the entire 6th grade is 3 to 2. Given this ratio, which two class compositions are possible?
gtnhenbr [62]

Answer:

<em>There's an infinite number of possible answers because there might be any multiplication of 3 for boys and any multiplication of 2 for girls. So, for example:</em>

<em>There might be 3 boys and 2 girls.</em>

<em>There might be 6 boys and 4 girls.</em>

<em>There might be 9 boys and 6 girls.</em>

<em>There might be 12 boys and 8 girls.</em>

<em>etc...</em>

<em>In each case the ratio stays the same - 3 : 2.</em>

<em>Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.</em>

Step-by-step explanation:<em>hope this help.</em>

7 0
3 years ago
What is 967 divided by 8
jeka94

Answer:

the answer would be 120.875

hope this helps :)

8 0
4 years ago
Read 2 more answers
Other questions:
  • Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent syst
    13·1 answer
  • Which point represents the approximate location of 90 ? A) point A B) point B C) point C D) point D
    12·1 answer
  • Explain how you would solve 16/c=8. Then solve the equation
    14·1 answer
  • What is .0449 rounded to the nearest hundredth?
    9·1 answer
  • What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, S
    13·1 answer
  • A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar
    12·1 answer
  • A submarine wa 525 feet below sea level. it ascends up 140 feet what is the position
    9·2 answers
  • This won’t take long please look at it
    9·1 answer
  • PLEASE HELP
    14·1 answer
  • Which sequences are geometric? Check all that apply.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!