A neighbor farmer had some chickens. She had 24 feet of wire fencing to
make a rectangular pen for the chickens. What different dimensions could
she use to build the pen if the perimeter remains fixed?

Answers

Answer 1

Answer:

A rectangle is defined by its length = L, and its width = W.

So the perimeter of the of the rectangle can be written as:

Perimeter = 2*L + 2*W.

In this case, we want to leave the perimeter fixed, so we have:

24ft = 2*L + 2*W.

Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.

2*L = 24ft - 2*W

L = 12ft - W.

or:

L(W) = 12ft - W.

Such that:

W must be greater than zero (because we can not have negative or zero width).

And W must be smaller than 12ft (because in that case we would have zero or negative length)

Then the possible different dimensions are given by:

L(W) = 12ft - W

0ft < W < 12ft.


Related Questions

Is part A correct? Im not entirely sure about it and also what is part B???

Answers

Answer:

A) [tex]\frac{n^2}{2} + \frac{n}{2}[/tex]

B) 78

Step-by-step explanation:

B) To find the sum of first 'n' whole numbers , formula used is :-

[tex]\frac{1}{2} ( n^2 + n)[/tex]

We have to find the sum of first 12 whole numbers . So here n = 12

Putting the value of 'n' in above formula ,

[tex]\frac{1}{2} ( 12^2 + 12) \\\\=> \frac{1}{2} ( 144 + 12)\\\\=> \frac{156}{2} = 78[/tex]

Answer:

see explanation

Step-by-step explanation:

A

Given

[tex]S_{n}[/tex] = [tex]\frac{1}{2}[/tex](n² + n) ← multiply each term in the parenthesis by [tex]\frac{1}{2}[/tex]

    = [tex]\frac{1}{2}[/tex] n² + [tex]\frac{1}{2}[/tex] n

B

To find the sum of the first 12 whole numbers, substitute n = 12 into the formula, that is

[tex]S_{12}[/tex] = [tex]\frac{1}{2}[/tex] (12² + 12) = [tex]\frac{1}{2}[/tex] (144 + 12) = [tex]\frac{1}{2}[/tex] × 156 = 78

Simplify the expression: 3√32/8

Answers

Answer:

48 im so sorry if its wrong ps i hope this helps

Step-by-step explanation:

Answer: the answer is 6 hope this helps

Step-by-step explanation:

On a 0-1 number line where would I put 0.8?

Answers

Answer:

Put the 0.8 closer to 1

Step-by-step explanation:

Answer:

After 0.7 and before 0.9

Step-by-step explanation:

After 0.7 and before 0.9

pleasee this is overdue .

Answers

Answer:

 25% is the answer they have on there but it's really negative 25%

Step-by-step explanation:

25% is the answer to your question

In which expression should the following exponents be multiplied?

2^9/2^7

Answers

The answer should be the second choice, “B”


A would be subtracting the exponents, while C & D are adding exponents

In the diagram , the measure of angle <1 is 55° If line y rotated °5 degrees clockwise about the point intersection what is the new measure of <3?

A:50°
A:120°
A:60°
A:130°

Please help :)

Answers

Answer: 60

Step-by-step explanation:

A point lies on AB¯¯¯¯¯ and is 2/5 the distance from A to B. Point A is located at (2, 6) and point B is located at (18, 12). What are the coordinates of this point?

Answers

We know, point on a line segment which cut a line into the ratio m : n is given by :

[tex][(\dfrac{mx_1+nx_2}{m+n}),(\dfrac{my_1+ny_2}{m+n}) ][/tex]

Putting value of point A and B and m =2 and n = 5 .

We get :

[tex][(\dfrac{2(2)+5(18)}{2+5}),(\dfrac{2(6)+5(12)}{2+5}) ]\\\\(\dfrac{94}{7},\dfrac{72}{7})[/tex]

Hence, this is the required solution.

10. -(x - 10) =7
Please help

Answers

Answer:

10+the actual quantity of x=7 would be one of the 4 awnser choices you have made

Answer: x = 3

Step-by-step explanation: Move all terms not containing

x

x

to the right side of the equation.

The local bakery made a profit of $210 for each day for 5 days. what is the total profit for 5 days?

Answers

Answer:

The bakery has a total profit of $1050 for 5 days.

Step-by-step explanation:

Multiply the profit of 210 by the 5 days and you get $1050.

Answer:

1050

Step-by-step explanation:

210 x 5

Is v62 a rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

Three fifths of a number increased by ten

Answers

Answer:

It is 27:)

Step-by-step explanation:

Answer:

To find 4/5 of a number, multiply the number by 4, then divide the result by 5. You can also do the division first if you like.

-1

0

1

Step-by-step explanation:


A scuba diver dives to a depth of 50 feet below sea level. To get a closer look at a hammer head shark, he ascends (goes up) 30 feet. He then descends (goes down) 80
feet to take a picture of a coral reef. At what depth was the diver when he took the picture? Show your reasoning,

Answers

Answer:

-70

Step-by-step explanation:

I’ll give brainliest award please help

Answers

Answer:

its 95

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given the interval (9, 900 )

The parenthesis on either side of the interval indicates that x cannot equal 9 or 900, thus

9 < x < 900 , or

{ x | 9 < x < 900 , x ∈ R }

Which shows the correct simplification of product of powers

Answers

Answer:

The Answer is C. (The Third Option)

Step-by-step explanation:

Product of powers can't be used on the others.

Answer: C

Step-by-step explanation:

Consider the population of florida , the area of colorado, and the flight time from philadelphia to san francisco, which of these has a value that varies.

Answers

Answer:

the population of Florida

Step-by-step explanation:

A value that varies means a value that shall change over a period of time.

Accordingly when we talk about population the population shall increase or decrease with time, as this the natural thing that new babies are born and at the same time people also die.

Even in Florida there will be new babies who are born and also there shall be people who might be dying. Accordingly the population count keeps on changing.

The flight time depends upon the aerial distance and the speed which generally remains same.

Accordingly if a flight takes  hours to travel the distance it will be same.

The area of a particular place shall not change as earth will not create new land, or the area will remain same by any how only exception to this is acquisition of land of neighbouring places, by war or political influence, but not in a  natural manner.

Thus, population of Florida is variable.

Find the value of c: 4(c-6)/c-7 = 9/2

Answers

Answer:

c=15

8c-48+48=9c-63+48

8c=9c-15

8c-9c=9c-15-9c

\frac{-c}{-1}=\frac{-15}{-1}

c=15

Which number line shows the solution to the inequality −2(3x − 1) < 8?

Answers

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

Solution of the inequality:

−2(3x − 1) < 8            ⇒ Divide both sides by -2, this will change inequality    

                                              sign to opposite

3x - 1 > -4                 ⇒ add 1 to both sides3x > -3                      ⇒ divide both sides by 3x > -1                         ⇒ answerx∈ (-1, ∞)                   ⇒ answer as set

Plz help ASAP I need to get this done

Answers

In step 3, when she borrowed from the 16, she should have gotten 15 11/8

what is the answer 2 this?​

Answers

Answer:

you have to put it on the graph

Answer:

I think its D

Step-by-step explanation:

Hope this helps :)

Identify the property that is illustrated.
23 + (2 +7) = (23 +2) + 7

Answers

Answer:

That property would be associative

Step-by-.step explanation:

Because no matter how you change the parentheses in that problem, it would be the same.

Associative property is the answer because they moved the parentheses

2(3-8y)= Apply the distributive property to create an equivalent expression.

Answers

Answer:

[tex]6-16y[/tex]

Step-by-step explanation:

[tex]2(3-8y)\\\\\boxed{6-16y}\\\\\\\left \{ {{2*3=6} \atop {2*-8y=-16y}} \right.[/tex]

Hope this helps.

Answer:

6 - 16y

Step-by-step explanation:

Distributive property:

a(b+cx) = a*b + a*cx

then:

2(3-8y) = 2*3 + 2*-8y

= 6 - 16y

M=(2,3) is the midpoint of AB where A is at (2,7). Determine the coordinates of B.

Answers

Answer:

ab

Step-by-step explanation:

B (2, -1), these are the coordinates of B
Hope this helps

f the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center? A) (-7, 1) B) (-1, 1) C) (1, -1) D) (5, 1)

Answers

Answer:

B

Step-by-step explanation:

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula, then

centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{1+1}{2}[/tex] ) = (- 1, 1 ) → B

please help its geometry

Answers

Answer:

The answer is:

62534

These are the ways that are used in geometry to explain which line I mean.

Order each set of cards from least to greatest.


a. .,⎯⎯⎯⎯√,0.25 , comma , square root

Answers

Question:

Order each set of cards from least to greatest.

a. 0.25, √(1/9), (6/25)

b. √(121/25), 2.25, √5

Answer:

a. [tex]\frac{6}{25}[/tex]; [tex]0.25[/tex] and [tex]\sqrt{\frac{1}{9}}[/tex]

b. 2.2; 2.2361; 2.25

Step-by-step explanation:

Solving a. 0.25, √(1/9), (6/25)

Rewrite each number in decimals:

[tex]0.25[/tex]

[tex]\sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3} =0.333[/tex]

[tex]\frac{6}{25} = 0.24[/tex]

At this stage, the numbers can then be ordered as follows;

0.24; 0.25; 0.333

[tex]\frac{6}{25}[/tex]; [tex]0.25[/tex] and [tex]\sqrt{\frac{1}{9}}[/tex]

Solving b. √(121/25), 2.25, √5

Rewrite each number in decimals:

[tex]\sqrt{\frac{121}{25}} = \frac{\sqrt{121}}{25}} = \frac{11}{5} = 2.2[/tex]

[tex]2.25[/tex]

[tex]\sqrt{5} = 2.2361..[/tex]

At this stage, the numbers can then be ordered as follows;

2.2; 2.2361; 2.25 which gives

[tex]2.2[/tex]; [tex]\sqrt{5}[/tex] and [tex]2.25[/tex]

Which number is greatest?
ооо
6.23 х 1012
6.23x 108
Б.23 х 10-
o 6.23x 103

Answers

Answer:

Option A: 6.23 x 1012

Step-by-step explanation:

Please check provided image.

Answer:

A

Step-by-step explanation:

HELP PLs ASAP WIll make brianist

Answers

Answer:

D

Step-by-step explanation:

The slopes of the lines are negative reciprocals, so they are perpendicular.

See the image for complete work.

Please award Brainliest :)

Which is greater than 4.026?

Answers

Answer:

4.020

4.030

4.021

4.006

Step-by-step explanation:

in an figure lines BC||PQ , if angle ABP=150*,Find the angle DCQ​

Answers

Answer:

i cant understand bief it plz

Step-by-step explanation:

PLS Help!!!!!!!
4(x+9) = x+9

Answers

4 ( x + 9) = x + 9 (remove the parantheses)

4x + 36 = x + 9 (move the terms)

4x - x = 9 - 36 (collect like terms and calculate)

3x = -27 (divide both sides)

solution : x = -9

Answer:

Solution given:

4(x+9) = x+9

4x+36=x+9

4x-x=9-36

3x=-27

x=-27/3

x=-9.

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