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
lapo4ka [179]
3 years ago
10

A dog owner wants to use 200 ft of fencing to enclose the greatest possible area for his dog. he wants the fenced area to be rec

tangular. what dimensions should he use?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L

Area (A) = Length (L) · Width (W)
              = (100 - W) · W
              = 100W - W²

Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
     0    = 100 - 2W
     W  = 50

refer to the equation above for L: 
100 - W = L
100 - 50 = L
        50  = L

Dimensions for the maximum Area are 50 ft x 50 ft
You might be interested in
Which statements are true? and whos down to talk?
Tems11 [23]

Answer:

please mention the statement

without that I can't help

have a beautiful day

6 0
3 years ago
Read 2 more answers
How is 600:450 and 4:3 equalivent
romanna [79]

Answer:

when you simplify 600:450 to the smallest it can be, its 4:3. For proof, multiply 4:3 by 150. 4 times 150 is 600 and 3 times 150 is 450.

5 0
2 years ago
How do I Express the inequality x < 7 using interval notation.
Sedaia [141]

Answer:  (-\infty, 7)

You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.

====================================================

Explanation:

Think of x < 7 as writing -\infty < x < 7

So x is between negative infinity and 7, excluding both endpoints.

To write -\infty < x < 7 in interval notation, we write (-\infty, 7)

The curved parenthesis tell us to exclude the endpoint.

7 0
3 years ago
What is the quotient of 6/9 divided 1/3
NeTakaya
18/9, or 2/1. OR you can write that as 2
3 0
3 years ago
Read 2 more answers
A supermarket is selling two types of​ candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and
garik1379 [7]

The question here has wrong numbers. Here is the correct question:

A supermarket is selling 2 types of candies, orange slices and strawberry leaves. The orange slices cost $1.27 per pound and the strawberry leaves cost $1.77 per pound. How many pounds of each should be mixed to get a 13-pound mixture that sells for $19.01?

Answer:

8 pounds of orange slices and 5 pounds of strawberry leaves

Step-by-step explanation:

This question is related to simple algebra

Let x represent orange slices weight

Let y represent strawberry leaves weight

The sum of the weights of x and y will be 13 pounds

So first equation will be x + y = 13

The total cost will be $19.01

So the second equation will be

1.27x + 1.77y = 19.01

Using first equation  

x + y = 13

x = 13 – y

Substituting this in the second equation

1.27 (13 - y) + 1.77y = 19.01

16.51 – 1.27y + 1.77y = 19.01

16.51 + 0.5y = 19.01

y = 5

 

Using this value of y to find x

x = 13 – y

x = 13 – 5

x = 8

So 8 pounds of orange slices and 5 pounds of strawberry leaves

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following statements is the most precise and correct to define an angle?
    7·2 answers
  • Can someone help me with this question please?
    15·1 answer
  • Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
    12·2 answers
  • Marcy owed her frien Ericka $25 dollars and owed her $15 dollars.
    6·1 answer
  • A luncheon for 36 guests costs $207. what was the cost per guest?
    14·2 answers
  • carney needs $60 to buy her mother a gift. She has saved 25% of that amount so far. Bow much has she saved so far
    8·1 answer
  • A The integer with the greatest value is the one that has the greatest absolute value.
    13·1 answer
  • Brainliest to first, lol:)
    5·2 answers
  • I need help.. with thissss
    11·1 answer
  • A circle with the diameter of 40 inches. what is the area?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!