Mrs. Laser is building a new space for her chickens. She has 80 feet of fencing. What is the greatest fencing area she could create using fencing?

Answers

Answer 1

Answer:

400 ft^2

Step-by-step explanation:

It can be shown that a square area is the most efficient way in which to use fencing.  If the area is not square, the area will inevitably be smaller.  

Calculus is the tool most often used in higher math to solve optimization problems.  

But the same goal can be achieved in this problem by working with constraints:  

If x and y are the length and width respectively, then

2x + 2y = 80 ft, or x + y = 40, or x = 40 - y.  This is one constraint.  

The other constraint involves the area:  A = x*y, or A = (40 - y)*y.  To maximize this, we need to rewrite (40 - y)*y in standard form:

A = 40y - y^2, or, finally, A = -y^2 + 40 y.  The coefficients of this quadratic are -1, 40 and 0; the axis of symmetry is thus

x = -b/ [2a], or, in this case, x = -40/[2*(-1)], or x = 20.

Thus, If x = 20, y = 20 also, proving that the shape of the enclosed yard is that of a square.

Then Mrs. L' 80 feet of fencing is sufficient to construct a 20 ft by 20 ft space, which comes out to a maximum area of 400 ft^2.

40 -

Answer 2
400ft hope this helps you out

Related Questions

A regular hexagon abcdef is shown. Work out the size of angle x

Please help

Answers

Answer:

30

Step-by-step explanation:

cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.

Angles in a triangle add up to 180

we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30

So X=30

(sorry if the answer is incorrect)

Answer:

30

(6-2)(180)/6

=120

∆FAB=180°

180-120=60

x=60/2

=30

x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

Answers

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

PLEASE HELP LAST QUESTION MATH

Answers

9514 1404 393

Answer:

A = 48°B = 115°C = 115°D = 67°E = 48°

Step-by-step explanation:

A and the angle marked 48° are vertical angles, hence congruent.

  A = 48°

B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.

  B = 115°

C is an alternate interior angle with angle B, so is congruent.

  C = 115°

D is a vertical angle with the one marked 67°, so is congruent.

  D = 67°

E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.

  E = 48°

find AD and AB
hhjhh​

Answers

Answer:

y = 13

x = 20.6155281281

Step-by-step explanation:

5^2 + 12^2 = y^2

25 + 144 = y^2

169 = y^2

[tex]\sqrt{169}[/tex] = y

y = 13

y^2 + 16^2 = x^2

13^2 + 16^2 = x^2

425 = x^2

20.6155281281 = x

Hope this helps!

simple Answer:

y = √(119)

x = √(375)

Step-by-step explanation:

harder answer:

12^2 - 5^2 = y^2

y = √(119)

16^2+ √(119) = 375

x = √(375)

out of 75 student 3 were a scent what percentage was present​

Answers

Answer:

To find a percentage, divide the number present by the total number of students, then multiply that number by 100.

Answer:

96% were present.

Step-by-step explanation:

75/100 , 72/? Find percent (?)

(72*100 / )75

96%

what is the hcf of 12 45 and 75​

Answers

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

Write an algebraic equation to represent the following problem:


Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?

PLS I NEED THIS!! I'll give brainiest if correct!!!!!!

Answers

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False

Answers

Answer:

False

Step-by-step explanation:

I need help please and thank you!!!

Answers

Answer:

Area: 288 m^2

Step-by-step explanation:

First find the area of the big rectangle:

A= L•W

A= 24 • 12

Area = 288 meters squared

So this is the area of the shaded one heh heh…

Hope this helps, have a great summer!

Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4

Answers

Answer:

mee.com/pbj-kbyh-bzm

join it fast

factorise using suitable identities
x^2 (y+z)^2

Answers

Answer:

Step-by-step explanation:

[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex]                               [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]

[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex]             [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]

                  [tex]=(x-y-z)(x+y+z)[/tex]                  

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?

Answers

Answer:

a = 3, b = - 2 , c = 0

Step-by-step explanation:

The equation is

[tex]1 = - 2 x + 3 x^2 + 1 \\\\3 x^2 -2x +0 = 0[/tex]

By comparing with the standard equation

[tex]ax^2 + bx + c = 0[/tex]

So,

a = 3, b = - 2 , c = 0

What are the x-intercepts of the graphed function?

(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)

Answers

Answer:

Step-by-step explanation:

d

Answer:

D

Step-by-step explanation:

what is the solution to the equation below?
please help!!​

Answers

Answer:

Have you tried photo math.? It can help you find the answer

Step-by-step explanation:

here is the answer bae. Feel free to ask for more

What is the slope of the line represented by the equation y = -1/2x + 1/4

Answers

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y = -1/2x + 1/4

This equation is in slope intercept form

y = mx+b where m is the slope and the y intercept is b

The slope is -1/2 and the y intercept is 1/4


A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000

Answers

Answer:

[tex]w = 13500[/tex] --- real windscreen

[tex]v = 408[/tex] --- scale volume

Step-by-step explanation:

Given

[tex]k = \frac{1}{10}[/tex] --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

[tex]w = \frac{w_{scale}}{k^2}[/tex]

This gives:

[tex]w = \frac{135}{(1/10)^2}[/tex]

[tex]w = \frac{135}{1/100}[/tex]

[tex]w = 13500[/tex]

Next, the volume (v) of the scale mode

We make use of the following computation

[tex]v = v_{real} * k^3[/tex]

So, we have:

[tex]v = 408000 * (1/10)^3[/tex]

[tex]v = 408000 * 1/1000[/tex]

[tex]v = 408[/tex]

m∠MNO =____because they are_____ (Fill in the blanks)

Answers

Answer:

No answer is possible from the information provided

Step-by-step explanation:

The is no∠MNO in the image.

Answer:

But then there is no < MNO on the diagram

Complete the solution of the equation. Find the
value of y when x equals 1.
927y=-12
Enter the correct answer
OOD
DONE
?

Answers

The answer is -3 because 9x1=9 subtract 9 from both sides then divide by seven and you are left with -3

SURFACE AREA PLEASE HELP

Answers

Answer:

486 yd^2

Step-by-step explanation:

Surface area is just finding the area of each face in a figure and adding it all up.

For the surface area of a cube, use this formula:

(a^2) 6

(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.

Use formula with given dimensions:

(9^2) 6 = 486

Surface area is measured in square yards

(yards in this case)

Therefore, the surface area of the cube is 486 yd^2

Hope this helps!

Encuentra la solución a los triángulos que cuentan con las siguientes características y represéntalos gráficamente​

Answers

Answer:

unce de Grenada! Nani de suburban don't listen to me in trying to get points here

The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.

Answers

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE

Answers

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Which of the following steps were applied to ABCD to obtain A'B'C'D

Answers

Answer:

B. 3 units right and 4 units up

The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

Translation applied to ABCD to obtain A'B'C'D.

Now, We get;

Coordinate of A = (2, 3)

Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)

Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

Which of the following is an irrational number? OA. 67 OB. 564 OC. 19 9 OD. 1.9​

Answers

Answer:

D. 1.9​

Step-by-step explanation:

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

2.8-5.3n - 4n + 5 =
plss help again
Thank you!

Answers

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

Answer:

In simplest form: 7.8 - 9.3n

Step-by-step explanation:

Equation: 2.8 - 5.3n - 4n + 5

Combine like terms: 2.8 + 5 = 7.8

-5.3n + -4n = -9.3n

Put it all together: 7.8 - 9.3n

Hope this helps! :)

12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.

Answers

Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

Helllpppp my teacher is being a chihuahua and won’t help meeeee

Answers

Answer:

the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9

Step-by-step explanation:

Answer:

Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.

Step-by-step explanation:

Which one could NOT be the probability of an event occuring?

A. 23
B. 3/4
C. 2.3
D. 0

Please help !!!

Answers

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

The best description of a dilation of a figure is:
A. an enlargement or a reduction of the figure
B. a slide of the figure
C. a turning of the figure about some fixed point
D. a mirror image of the figure

Answers

Answer:

A. an enlargement or a reduction of the figure

Step-by-step explanation:

The answer is choice A.

dilation A. an enlargement or a reduction of the figure

translation B. a slide of the figure

rotation C. a turning of the figure about some fixed point

reflection D. a mirror image of the figure

A mirror image of the figure

somebody help pls im stuck on this one

Answers

Answer:

x=77 degrees

Step-by-step explanation:

The angles of a triangle always add to  180 degrees.

26 is already taken up 180-26=154

There are 2 angles left 154/2=77

x=77

Other Questions
3. Why do you think your society is developing? Write two reason Identify the best drying agent or process for each described purpose. Removal of small amounts of water from a polar solvent____. Removal of visible pockets of water from an organic solvent____. Storage of solvents or other materials in a desiccator_____. A group of high school seniors were surveyed on their interests. Of those surveyed, 16 students said they enjoy reading, and 14 said they enjoyed writing. What additional information would you need to know in order to determine how many students said they enjoy both reading and writing?a) The number of students who enjoy reading only. b) The number of students who enjoy writing only. c) The number of students who don't enjoy neither reading nor writing. d) The number of students said they enjoy either reading or writing. PLAY9Organelles are structures within the cell that perform important functions. Which of the following correctly matchesorganelle with its relationship to the whole cell?mitochondria - provides the instructions for making proteinsB nucleus - provides protection to the outside of the cellchloroplasts - trap light energy and change it into food for the cellcell membrane - changes the energy the cell gets from food into a form the cell can use lo Luke's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.What is the actual pressure when Sue's gauge shows 39.42? Do young people these ___ have more free time than they did in the past? Which of the following businesses poses the highest degree of difficulty in e-commerce? Portals and infomediaries Businesses such as Travelocity, and those that sell digital music, and software Businesses that rely on a physical infrastructure Brick and mortar companies Angles measuring 8x 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points) Let f be a function of two variables that has continuous partial derivatives and consider the pointsA(8, 9),B(10, 9),C(8, 10),andD(11, 13).The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction ofAC is 2. Find the directional derivative of f at A in the direction of the vector AD.(Round your answer to two decimal places.) Dr. Franklin wants to study the accuracy of eyewitness testimony. He will tell his subjects that they will take a paper and pencil test and have them sign forms to agree to participate. He will then tell them he left their test papers in his office and will be back in a few minutes with them. While he is away, one of his research assistants will run into the room and steal something from the professor's desk and run back out again. Dr. Franklin will then come back in, hand out the test papers, and ask the participants to describe the suspect in detail. Dr. Franklin will explain what occurred after he collects the participants' papers. Th tch ca khi cu c bn knh 3a bng How many solutions does this linear system have? y = 2x 5 8x 4y = 20 one solution: (2.5, 0) one solution: (2.5, 0) no solution infinite number of solution Fremont LLC is looking to purchase new water chlorination equipment. A salesman from Industrial Water Services (IWS) offered water chlorination equipment for $2.1 million. IWS also said that Fremont LLC would not have to pay for the equipment now and can pay after 2 years. While the price offered by a competing saleswoman from AG Enterprises is $1.7 million to be paid now. Fremont LLC's real MARR is 12% per year, and the inflation rate is 3.9% per year. Determine which offer is better. a. AG offer b. IWS offer What restrictions may be necessary to the domain and range of linear equations? A 2 kg stone is dropped from a height of 100 m. How far does it travel in the third second? take g = 9.8 m/s2 The club will use the plurality criterion without elimination method to determine the final winner. Parker wins the contest by receiving 56 votes. However, while finalizing the votes, a member of the club discovers that Myers did not meet the original criteria to be considered for the tickets, so Myers is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion violated in this case? Which one of these is an example of an idiom? Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for t hours? Cost for 5 hours: Cost for t hours: Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved. Kofi, Kojo and Ama shared GH 480,000.00 in the ratio 3:5:4. How much did Ama receive?A. GH 160,000.00B. GH 200,000.00C. GH 218,181.81D. GH 342,859.14