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
aksik [14]
3 years ago
6

A rectangular parking area measuring 6000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5

0 per foot. The fourth side will be a wooden fence that costs ​$6 per foot. What dimensions will minimize the total cost to enclose this​ area, and what is the minimum​ cost?
Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

length x =79.2 ft

width y = 75.75 ft

minimum​ cost P = Rs 1742.41212

Step-by-step explanation:

Let the length of the parking area be 'x', and the width  be 'y'.

Then, we can write the following equations:

Then,  Area of the park: A =x×y = 6000

Now,  Price of the fences P = 2×5.5x + 5.5y + 6y

P = 11x + 11.5y

From the first equation, we have that y = 6000/x

Using this value in the equation for P, we have:

P = 11x + 11.5×6000/x = 11x + 69000/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

⇒ dP/dx = 11 - 69000/x^2 = 0

⇒x^2 = 69000/11

x  = 79.20 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x×y = 6000

y = 6000/79.2 = 75.75 ft

P = 11x + 69000/x = Rs 1742.41212

You might be interested in
A closet contains 8 pairs of pants, 10 shirts, and 4 pairs of shoes. How many leaves on a tree diagram would represent all possi
EleoNora [17]
The answer is, there are 320 possible combinations of outfits
7 0
3 years ago
A point is chosen randomly on AD. What is the probability that the point is on BC?
Nadusha1986 [10]
I’m pretty sure it’s b but idk 100% sorry if it’s wrong
8 0
3 years ago
an electrician charges $55 per hour of electrical work plus a flat fee of 25$ as a service charge . if a customer's bill 190 whi
zhenek [66]

Answer:

\large \boxed{\text{A. 3.0 h}}

Step-by-step explanation:

The bill          = $190

Less flat fee  =    25

Work done   = $165

\text{Hours worked} = \$165 \times \dfrac{\text{1 h}}{\$55} = \textbf{3.0 h}\\\\\text{The electrician was on the job for $\large \boxed{\textbf{3.0 h}}$}

7 0
3 years ago
What does this equal
docker41 [41]

Answer:

I think it is 9

Step-by-step explanation:

3×3 is 9 + 15= 24÷4=3×3=9

8 0
3 years ago
The sum of 4 consecutive odd numbers is 40.what is the second number in the sequence
Fittoniya [83]

Answer:9

Step-by-step explanation:

7+9+11+13=40

7 0
3 years ago
Read 2 more answers
Other questions:
  • citrus weekly wages are $20 less than twice what Mary earns in one week in citra makes $120 a week write and solve an equation t
    6·1 answer
  • What is the exact value ?
    12·1 answer
  • Solve photo question. Mathematics
    10·2 answers
  • A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con
    6·1 answer
  • What is equivalent to log2(7)
    15·2 answers
  • Is 1/3 less than or greater than 5?
    15·1 answer
  • WILL GIVE BRAINLIEST!
    8·1 answer
  • Solve the system of linear equations by graphing. Check your answer.
    9·1 answer
  • QUESTION 1: Is the following equation proportional? How do you know? y=3x-4
    12·1 answer
  • 5/6 divided by [13/11]
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!