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
nlexa [21]
3 years ago
11

The riding stables just received an unexpected rush of registrations for the next horse show, and quickly needs to create some a

dditional paddock space. There is sufficient funding to rent 1200 feet of temporary chain-link fencing. The plan is to form two paddocks with one shared fence running down the middle. What is the maximum area that the stables can obtain, and what are the dimensions of each of the two paddocks?a. 100b. 150c. 200d. 220e. 250

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

Maximum added area will be 60,000 ft²

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

Step-by-step explanation:

Consider the provided information.

There is sufficient funding to rent 1200 feet of temporary chain-link fencing.

The plan is to form two paddocks with one shared fence running down the middle.

The total length of fencing is 1200 feet that is same as the total perimeter including that shared line down the middle.

Therefore, the perimeter is

P = 1200 = 2L + 3w

Solve for L

1200-3w = 2L

L=600-\frac{3w}{2}

As we know the area of rectangle is A=L×W

Substitute the value of L in above formula.

A=(600-\frac{3w}{2})\times w\\A=600w-\frac{3w^2}{2}

A=-\frac{3w^2}{2}+600w

The above equation makes a downward parabola.

In order to find the maximum, find the vertex of parabola as shown:

W=\frac{-b}{2a}=\frac{600}{2\times\frac{3}{2}}=200

Hence, the width should be 200 ft in order to get maximum area,

Therefore, the length will be:

1200 = 2L + 3(200)

L=300

Now substitute the value of L and W in area formula.

A=300×200=60,000

Hence, maximum added area will be 60,000 ft²

Hence, the length should be 300 ft, and each paddock should then be 150 feet long.

Each paddock measure 200 ft by 150 ft, and the paddocks share a 200-ft long side.

You might be interested in
N divided Into 8 is what
Goryan [66]

Answer:

\frac{N}{8}

Dividing is the same as putting numbers into a fraction. This is N/8. We don't get the answer until we figure out what N is equal to.

7 0
3 years ago
The quotient of the opposite of a number squared and three
Mars2501 [29]

Answer:

"The quotient of the opposite of a number squared and 3"  

Take "the opposite of a number squared" and call it y.  

So you get "The quotient of y and 3"  

This is y/3.  

Now what is y? "The opposite of a number squared"  

Take "The opposite of a number" and call it z.  

So y is "z squared"  

Replacing y, we get z^2 / 3  

But what is z? "The opposite of a number"  

Call "a number" x.  

The opposite of x is -x.  

So z is "-x"  

Replacing z, we get (-x)^2 / 3



8 0
3 years ago
Write and solve a system of equations made up of Aiden's and Natalie's lines of best fit that they can use
dezoksy [38]

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equations:

Aiden: y = 2.3x + 160.7

Natalie: y = 3.6x + 202.6

For their tennis balls to cover the same distance:

2.3x + 160.7 = 3.6x + 202.6

1.3x = -41.9

x = -32.3

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

Find out more on linear equation at: brainly.com/question/14323743

7 0
3 years ago
If lena has 5 kids and she has 9 more but loses 3 kids then she found 19 kids so she just kept them. how many kids now does she
Dahasolnce [82]
She has 30 children........
3 0
3 years ago
Read 2 more answers
64/100 as a simplified fraction
spin [16.1K]
64/100
= (64/4) / (100/4)
= 16/25

The final answer is 16/25~
6 0
3 years ago
Read 2 more answers
Other questions:
  • NEDD ANSWERS PLEASEE LOTS OF POINTS!!! :(
    6·2 answers
  • How does the graph of g(x)=x+5 compare with the graph of the parent funtion f(x)=x
    9·1 answer
  • What is 12x3 – 9x2 – 4x + 3 in factored form?
    6·1 answer
  • Mr. Baker sells boxes of votive candles to stores.He also has a customer who places a fixed order for designer candle every mont
    15·1 answer
  • Shuffle standard deck of cards and give 13 cards to the four players. what is probability everyone gets ace
    15·1 answer
  • currently 96 members participate in the morning workout and this # has been increasing by 2 ppl per week. currently 80 ppl parti
    11·1 answer
  • PLEASE need help on 3 questions!!
    12·1 answer
  • Compare the expressions to 300.move a statement to each line to make the comparisons true.
    12·1 answer
  • Only answer bottom one!! brainliest + 5 stars & a heart <3
    13·1 answer
  • Visualize "4.298" on the number line
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!