A rectangular field is to be enclosed by a fence and divided
into two parts by another fence. Find the maximum area
that can be enclosed and separated in this way with 800 m
of fencing

Answers

Answer 1

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200


Related Questions

The perimeter of the patio is 32 metres. The garden itself is a square shape.

What is the total area of the garden and the patio?

Answers

Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

Find the slope of the line between the points (-2, 7) and (10, 3)

Answers

Answer:

m = -1/3

Step-by-step explanation:

Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!

4x+49<9-x

Answers

Answer:

x<−8

Step-by-step explanation:

4x+49−9<−x

4x+40<−x

40<−x−4x

​5

​40

​​ >x

−8>x

x<−8

Write a factored equation that has the solutions x=6 and x=-1

Answers

Answer:

y = (x - 6)(x + 1)

Step-by-step explanation:

Use factored form, y = a(x - r1)(x - r2), where r1 and r2 are roots.

Since the solutions are 6 and -1, plug in these numbers:

y = (x - 6)(x + 1)

So, the factored equation is y = (x - 6)(x + 1)

Answer: (x-6)(x+1)

Step-by-step explanation:

The equations of four lines are given. Identify which lines are parallel.
Line 1: y= 2 - 6
Line 2: 3 - 2y = -1
Line 3: y = 4x + 6
Line 4: y+3= 1 (2-6)

Answers

Answer:

lines 1 and 4

Step-by-step explanation:

they are both horizontal lines because when solved equal a number without an x so they is no slope so they are horizontal and have the same slope which means they are parallel to each other

Help please uh thanks

Answers

12•1
13•6
12/78 divide both numbers by 6 to simplify
Answer- 2/13
2/13 Is the answer to this question :)

please answer quick and no the answer isn’t 15

Answers

since the angle is a 180 degree angle

180-73= 107

the angle is 107 degrees

Answer:

107

Step-by-step explanation:

The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.

This allows us to do 180 - 73 = 107

x would be 107.

The cost of planting a garden can be calculated by using the linear function 100=5v+4h, where v represents the number of vegetables and h represents the number of herbs. If the gardener chooses 5 herbs how many vegetables can they choose?​

Answers

Answer:

Step-by-step explanation:

v

=

4

h

5

+

20

A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows 1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month. How many months (m) does the zookeeper need to wait for the two snakes to be the same length?

Answers

Answer:

1 months

Step-by-step explanation:

Given

Anaconda

[tex]Length = 5.23m[/tex]

[tex]Growth = 1.27m[/tex] monthly

Python:

[tex]Length = 4.76m[/tex]

[tex]Growth = 2.04m[/tex] monthly

Required

Determine when their length will be equal

First, we need to write equations that determines the growth of each snake in m months.

For both snakes;

[tex]Expression = Length + Growth * m[/tex]

For the Anaconda, the expression is:

[tex]5.23 + 1.27 * m[/tex]

[tex]5.23 + 1.27 m[/tex] --- (1)

For the Python, the expression is

[tex]4.76 + 2.04 * m[/tex]

[tex]4.76 + 2.04m[/tex] ---- (2)

Both snakes will have equal length when both expressions (1 & 2) are equal

[tex]4.76 + 2.04m = 5.23 + 1.27 m[/tex]

Collect Like Terms

[tex]2.04m - 1.27 m= 5.23 - 4.76[/tex]

[tex]0.77 m= 0.47[/tex]

Solve for m

[tex]m = \frac{0.47}{0.77}[/tex]

[tex]m = 0.61[/tex]

[tex]m = 1[/tex] --- Approximated

Hence, the zookeeper will wait for 1 month

The figures below are similar. Find the length of the missing side.
14
10
56
40
14
х
56

Answers

Answer:

12

Step-by-step explanation:

Everything is multiplied by 4

I am not sure and I’m sorry if I get this wrong but I think it’s 12....

Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?

Answers

Answer:

They are equal

Step-by-step explanation:

320 oz is 20 pounds:))

I’m in a test pls help
Use inductive reasoning to write the next two terms in each sequence of numbers.

B.) 720, 180, 360, 90, _____, _____ .

Answers

Answer: 180, 45

Step-by-step explanation:

First, you look at the patterns for each numbers, so you can apply the rules for the next two sequences

720 divided by 180 = 4

360 divided by 180 = 2

360 divided by 90 = 4

for the next sequences, you multiply the last number by 2 (90 x 2 =180)

then divide the answer by 4 to get the answer (180 divided by 4 = 45)

so the next two numbers are 180, 45

Mark me as the brainiest answer

If you help not only will I give you brainliest but also you gain good deeds.

Answers

2/3 - 2/5

= 10/15 - 6/15

= 4/15

A box contains 421 books. If your teacher orders 19 boxes of books, about how many books will arrive? Use estimation to find your answer.

Answers

The answer is 8,000 because 19 times 421 equals 7,888 and that estimated is 8,000
19 * 421 = 7,999 books will arrive

told u aint doing my work help

Answers

Answer:

A: 50:100

Step-by-step explanation:

The ratio 5:10 is the ratio of caramels to fruit creams.  This ratio is equivalent to 50:100.

I need that big brain help pls

Answers

Answer:

The answer to question is the second one (RSW)

Hope this helps! (if you need an explanation, just ask!) :)

y + 2x = −1
3y − x = 4

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

y+2x=−1

Step 1: Add -y to both sides.

2x+y+−y=−1+−y

2x=−y−1

Step 2: Divide both sides by 2.

2x

2

=

−y−1

2

x=

−1

2

y+

−1

2

Answer:

x=

−1

2

y+

−1

2

Answer:

Answers below

Step-by-step explanation:

Q1.  2x=−1−y

=

​2

​−1−y

​​

Q2.     −x=4−3y

x=−4+3y

x=3y−4

Use the law of exponents to rewrite (4x2)^9

Answers

It going to be 8^9x^9

To include the personal assets and transactions of a business's owner in the records and reports of the business would be in conflict with the

Answers

Answer:

Khgiqjdbdnekjfjwjehsio

BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?

Answers

Answer:

y = -300x

Step-by-step explanation:

The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!

Find the remaining zeros of f using the given information about the polynomial.

Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}

Answers

Answer:

noloce necesito puntos

12. DEDUCE The graph of a linear
equation is in the form y = mx + b.
Are there any values of m that would
result in the graph not representing
a function? Explain your ans
answer.
Please help it’s due today I will mark you brainless

Answers

Answer:

en contexto, ora al de arriba pa que te ayude porque nose nada xd

Step-by-step explanation:

distribute -3(9x^2+10x)

Answers

Answer:

-27x^2-30x hoped that helped

PLEASE HELP ILL GIVE YOU BRAINLIEST!!!!!

Answers

Step-by-step explanation:

Jeremiah solved equation by multiplicative inverse.

Therefore,

Option D is correct ✔

And

Kelly solved equation by Additive inverse.

Therefore,

Option B is correct ✔

is this right babes xoxo

Answers

Answer:

Step-by-step explanation:

d: 24 + 5√ 30/6, 24 − 5√ 30/6

6x (x - 8) - 29 =

−3x=2

2cos(x)−√3=0

2sin2(x)−sin(x)=0

I answered it in the other one you put

0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.

Answers

Answer:

4 ÷ 7 = 0.571428

Step-by-step explanation:

4 ÷ 7 = 0.571428

Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? square units square units 17 square units 34 square units

Answers

Answer:

34sq. units

Step-by-step explanation:

The area of the rectangle shown is expressed as;

A = length *width

The length = AD = BC

Width = AB =  CD

From the diagram, we will look for AD and AB using the formula for calculating distance between two points;

D = √(x2-x1)²+(y2-y1)²

For AB where A(-1,4) and B(3,3)

AB = √(3-(-1))²+(3-4)²

AB = √(4)²+(-1)²

AB =√16+1

AB = √17

For AD where A(-1,4) and D(-3,-4)

AD = √(-3-(-1))²+(-4-4)²

AD = √(-2)²+(-8)²

AD =√4+64

AD = √68

Hence area of the rectangle = √17*√68

Hence area of the rectangle = √1156

Hence area of the rectangle = 34

Hence area of the rectangle ≈ 34sq. units

Answer:

D.

Step-by-step explanation:

Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5

Answers

It would be B. 8
Since ones place is 8.000 and 7.538 can be rounded up to 8

Jennifer has already driven 160 miles on her trip to her grandparents house for every hour she travels she drives an additional 55 miles which equation represents the relationship between the Total miles driven y,and the number of hours ,x.

Answers

Answer:

y = 55x + 160

Step-by-step explanation:

The computation of the equation that represents the relationship between the total miles driven y and the number of hours x is shown below:

she starts at 160 miles so it would be y-intercept

So the equation form would be

"b" in y = mx + b

where,

m = 55

and b = 160

Therefore the equation would be

y = 55x + 160

The same is to be considered

I think of a number i halve it then subtract four

Answers

Answer:

x/2-4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0

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