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
Leto [7]
3 years ago
15

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fen

cing. What is the largest area that can be enclosed?
Mathematics
1 answer:
baherus [9]3 years ago
3 0

Answer:

Area = 2500 square feet is the largest area enclosed

Step-by-step explanation:

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing

Let x be the length of each box and y be the width of the box

Perimeter of the box= 3(length ) + 4(width)

200=3x+4y

solve for y

200=3x+4y

200-3x=4y

divide both sides by 4

y=50-\frac{3x}{4}

Area of the rectangle = length times width

Area = 3x \cdot y

Area = 3x \cdot (50-\frac{3x}{4})

A=150x-\frac{9x^2}{4}

Now take derivative

A'=150-\frac{9x}{2}

Set it =0 and solve for x

0=150-\frac{9x}{2}

150=\frac{9x}{2}

multiply both sides by 2/9

x=\frac{100}{3}

A''=-\frac{9}{2}

For any value of x, second derivative is negative

So maximum at x= 100/3

 A=150x-\frac{9x^2}{4} , replace the value of x

A=150(\frac{100}{3})-\frac{9(\frac{100}{3})^2}{4})

Area = 2500 square feet is the largest area enclosed

You might be interested in
A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es
iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550}  (x-550)\\\\y=\frac{1}{2}x-25

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0
2 years ago
Use the function below to find F(2) F(x)=1/3•4
Drupady [299]

Answer:

7477rurjerjrjjrjdjfid

5 0
3 years ago
Translate the new algebraic expression you created in Question 1 to a verbal expression.
svetoff [14.1K]

Answer:

What are you asking?

Step-by-step explanation:

6 0
3 years ago
35. How much leather is needed to sew a ball
just olya [345]

Answer:

593.04 square inches leather is needed.

Step-by-step explanation:

Leather needed to sew a ball = Surface area of the ball

Surface area of the sphere = 4πr²

                                             = 4π(6.55)²

                                             = 539.13 inches²

Since 10% extra material is needed for the seams, amount of material required = 539.13 + (10% of 539.13)

= 593.043

= 593.04 square inches

593.04 square inches of leather will be needed.

8 0
2 years ago
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
lutik1710 [3]

I agree with the second answer. Was this correct?



8 0
3 years ago
Other questions:
  • Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide
    9·1 answer
  • Georgia needs to buy flea treatment for her dog. Pet Store 1 is offering the flea treatment for 40 percent off plus an additiona
    12·2 answers
  • Find the slope of the line through the points (6,16) and (−6,4)
    12·1 answer
  • Can anyone help with these two questions
    9·1 answer
  • Find the orthocenter for the triangle described by each set of vertices
    11·1 answer
  • 5. Jaeden is shopping for shoes. The available styles are Jordan (J), Adidas (A), and Under Armor
    14·1 answer
  • Can somebody help me with this
    8·2 answers
  • the price of a phone on sale was increased from $80 to $120. By what percentage was the price of the phone increased?
    5·2 answers
  • Work out the value of each expression, when r= 2.5 and t = 6.
    11·2 answers
  • Please help me with this please and thank you
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!