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
trapecia [35]
3 years ago
10

The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0

9514 1404 393

Answer:

  1250 square feet

Step-by-step explanation:

If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:

  A = x(2)(50-x)

We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.

Then the maximum area is ...

  A = (25)(2)(50 -25) = 1250 . . . . square feet

_____

<em>Additional comment</em>

Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.

Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)

You might be interested in
Find the volume of a rectangular box having width 4.2 ft, length 8.694 ft, and height 7.643 ft.
Svetlanka [38]
The answe is V≈279.08 ft³


7 0
3 years ago
Pls find area of this shape
Basile [38]

Answer:

16+16

32

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and
Ilya [14]

Answer: 55-1/2w=p

Step-by-step explanation: 55 is the starting weight. Therefore, you need to subtract  55 by 1/2 (the amount of weight he loses each week) times each week. This will determines the weight- (p).

6 0
3 years ago
Read 2 more answers
I need help with two and three
Tasya [4]

#2) 435+25x=875-15x

40x=440

x=11

the answer is 11 weeks.

#3) 2500(3x) for x=10

2500(3*10)

2500(30)

7500

the answer is 7500 bacteria after 10 months.

3 0
3 years ago
Read 2 more answers
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat
galben [10]
To find the mean absolute deviation, you have to find the mean first.
1+1+2+2+2+4=12
12 divided by 6 numbers=2         The mean of that is two
Next, you have to find the amount the original numbers are away from the mean.
1= 1 away from 2               2=0 away from 2               4=2 away from 2
You should get: 1,1,0,0,0,2              Next, you have to find the mean of the new set of numbers.    1+1+0+0+0+2=4
4 divided by 6= 2/3
The mean absolute deviation is 2/3
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find a 2 × 2 nondiagonal matrix whose eigenvalues are 5 and −3, and associated eigenvectors are −1 2 and 1 1 , respectively.
    7·1 answer
  • Pumps A, B and C operate at their respective constant rates. Pumps A and B, simultaneously, can fill a certain tank in 6/5 hours
    14·1 answer
  • A rectangle has one side on the x-axis and two vertices on the curve y=22 x2. find the vertices of the rectangle with maximum ar
    7·1 answer
  • Audra's paper airplane is 13.8 centimeters long. Jordan's paper airplane is 9/10 centimeters shorter than Audra's. How long is J
    7·1 answer
  • What is the fraction -2 over 3 multiplied by -2 equal?
    6·1 answer
  • Math question help me please
    13·1 answer
  • Explain how you can solve 8x8 if you know how to multiply with 4 but not how to multiply with 8
    13·2 answers
  • Determine the first four terms of the sequence in which the nth term is...
    7·2 answers
  • Darius takes his family on an afternoon boat ride.
    14·1 answer
  • The selling price of a television in a retail store is $66 less than 3 times the wholesale price. If the selling price
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!