alice is building a fenced in pen in her backyard for her dog,as shown. write an expression that represents the total amount of fencing she will need in feet. if the longer dimensions of the rectangle is 27 feet how many feet of fencing does Alice need?

Answers

Answer 1

Answer:

p = 2 * w + 54

Step-by-step explanation:

To know the number of feet Alice needs, you must calculate the perimeter, the perimeter of a rectangle would be the sum of its sides, that is, twice the width and twice the length.

This time they give us the length that is equal to 27 feet, therefore, the equation of the perimeter would be:

p = 2 * w + 2 * l

p = 2 * w + 2 * 27

p = 2 * w + 54

Therefore, to know exactly what Alice needs, you need to know the value of the width and shortest side.


Related Questions

in how many ways can the classes math, language arts, science and social studies be ordered on student schedules as the first four classes of their day

Answers

Answer:

16

Step-by-step explanation:

theres 4 different subjects that could be in each of 4 different slots, eg, science, ss, ela, or math could be in slot one, or the same for slot two, and so on and so forth.4 x 4 = 16

The required number of ways to study 4 different subject to first four classes is 16

What is method of counting?

If we have m number of works to do and n number of peoples then the number of ways to do the work is mxn

How to find number of ways?

Here we have given

Number of subjects = 4 that is math, science, art and social science

Number of classes = 4

Therefore the number of way to attending the class is

4x4 = 16

This is the conclusion to the answer.

Learn more about method of counting here-

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#SPJ2

Which integer is the following number closest to?*
(33
02
3
O

Answers

Answer:

لافصرقغه3ق3

Step-by-step explanation:

4ل5خ2ىاق

4^2-2^3=?
a. 1/2
b.2
c. -128

Answers

Answer:

2

Step-by-step explanation:

4^2-2^3

2^2(2) - 2^3

2^4 - 2^3

2^(4/3)

2^1 = 2

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3

Answers

X = 5
explanation in the image below

Answer:(5,2)

Step-by-step explanation:

Can please someone help me??!!!!! Find the area of each triangle (A-D). Show your reasoning please.

Answers

The area of a triangle is LxW/2. All you have to do is count the square units on the length and width, multiply them then divide by 2. For example the area of triangle A is 8 units. 8x2=16/2 is 8

A theorem in geometry states that the measure of an inscribed angle is half the measure of it's intercepted arc. In the figure, angle C intercepts arc AB and Line AB is the diameter of the circle. Which equation is a step in showing that m angle C = 90 degrees?

Answers

Answer:

c

Step-by-step explanation:

Answer:Awnser choice c

Step-by-step explanation:

The following situations showed a strong correlation. Which implies causation?

A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination



B. an increase in a company's advertising budget and an increase in their profit



C. an increase in temperature and an increase in ice cream sales



D. an increase in salary and a decrease in sick days

Answers

Answer:

A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination

Step-by-step explanation:

As an increase in the speed of the car decrease the time it takes to reach the destination.

What is correlation?

Correlation is the dependence of any statistical relationship between the causal or may be two random variables. It usually indicates the type of association.

As the increase in the car speed will lead to a decrease in the distance and the time it takes to reach the destination. Hence positively correlated.

Find out more information about the causation.

brainly.com/question/8531455

The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the prism. Round your answer to the nearest cubic cm.

Answers

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of the trend line. Her work is shown below. 1. y = negative 3 x + b. 2. 8 = negative 3 (10) + b. 3. 8 = negative 30 + b. 4. 8 + 30 = negative 30 + 30 + b. 5. 38 = b. Examine Bernice’s steps.In which step did she make an error? In step 1,she used the wrong equation. In step 2,she switched the x and y coordinate values. In step 3,she needed to add -3 and 10 In step 4,she needed to -30 on both sides

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the assignment

The Ocean Cleanup project estimates its 001/B system could clean up 733
tons of plastic every month. Write a y = mx equation to show this.

Answers

Answer:

y = 733x

Step-by-step explanation:

y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.

If this answer is correct, please make me Brainliest!

-11p²-4=0
How do I solve this equation using quadratic formula?

Answers

Answer:

±(2√11 * i) / 11

Step-by-step explanation:

Quadratic Formula: x = (-b ± √b^2 - 4ac) / 2a

a = -11

b = 0

c = -4

(0 ± √0 - 176) / 22

± √-176 / 22

±(4√11 * i) / 22

Simplify:

±(2√11 * i) / 11

***i is for imaginary number***

easy question!!

how can i do this! need step by step explanation.

help!! will give the brainliest​

Answers

Answer: 1+log3(10)

Step-by-step explanation:

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]

[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]

Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution? (, )

Answers

Answer:

0 and 8

Step-by-step explanation:

for some reason i got a warning giving you the answer so here it is, i got the evidence from a calculator.

Answer:

0,8 is correct

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?
2x - 3y =12
y <-3

Answers

Answer:

x = 3/2

Step-by-step explanation:

Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (7 + 8) = (2 + 7) × (2 + 8)
B. 2 × (7 + 8) = (2 × 7) + (2 × 8)
C. 2 × (7 + 8) = (2 × 7) + 8

Answers

Answer:

A

Step-by-step explanation:

It is the only equation with addition in all the parenthesis.

Vaughn is ordering light bulbs for his business. He always orders three extra bulbs. The following shows how the number of light bulbs he orders, y, changes as the number of light bulbs burnt out, x, changes.


Which equation shows this relationship?
A.
y = 3x
B.
y = x + 3
C.
3y = x
D.
y + 3 = x

Answers

Answer: D

Step-by-step explanation:

Because  if y is the number of light bulbs he orders and he always orders three extra or three more that means that for any number of orders that he makes there will be three more. That three will never change since he always others three more than he ordered.

Answer:

y = x + 3

Step-by-step explanation:

Hi I really need help on this question I will give you 30 points if you help me ty stay safe

Answers

Answer:

erm

Step-by-step explanation:

4, 5 27

Refer to the Parallelogram below to complete the following problem if m angle B= 3x- 9 and m angle C= 39°, then what is the value of x?

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Hope this HELPED you

Question 4
What do you observe about the distances between the three pairs of corresponding vertices for each movement? Based on your observations,
how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a
translation?

Answers

Answer:

The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.

A translation is a rigid transformation that moves vertices of a figure a fixed distance.

In a general way, a translation moves all points on a shape a fixed distance.

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Sample answer for Edmentum and Plato Users

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Which sentence about a geometric plane is
false?
A plane is an undefined term.
A plane is a one-dimensional figure.
A plane contains at least three points that
do not lie on the same line.
The intersection of two planes is a line.

Answers

Answer:

A plane is a one dimensional figure

hiiii.. please help me with this limit question ​

Answers

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

Can I Please Get Help

Answers

Answer:

C

Step-by-step explanation:

Answer:

D because 45*2

Step-by-step explanation:

Every day you play a random song from your library, which includes 200 songs. What is the PROBABILITY that both today and tomorrow the first song that plays is one of your top 10 favorite songs?

Answers

Finding Probability

To find probability, you must divide the number of events by the number of possible outcomes.

An event (or favorable outcome) is an outcome that is desired.

An outcome is one of many things that could happen.

Since the events occur two times, they must be doubled.

In this case, there are 400 possible outcomes and 20 number of events.

400 ÷ 20 = 0.05

The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.

Tell whether the graph of the quadratic function
y − 4x2 = 4x + 5 opens upward or downward and whether the function has a maximum or a minimum.
The graph opens (select: downward, upward) and and the function has a
(select: maximum, minimum).

Answers

Answer:  Graph attached.

Step-by-step explanation:

It is easier to figure it out if you can see it.

Also easier if you rewrite the equation in quadratic form:

y = 4x² + 4x + 5

Please answer the question it’s for my math SAT

Answers

Answer: D.

This is tricky.

Think of the equation as an equation for a line

where in this case.      

[tex]C=5/9(f-32)[/tex]

or

[tex]C=5/9f-5/9(32)[/tex]

You can see the slope of the graph is [tex]5/9[/tex]  which means that for an increase of 1 degree Fahrenheit, the increase is [tex]5/9[/tex].

[tex]c=5/9(f)[/tex]

[tex]c=5/9(1)=5/9[/tex]

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of [tex]9/5[/tex] Degrees Fahrenheit

[tex]c=5/9(f)[/tex]

[tex]1=5/9(f)[/tex]

[tex]f=9/5[/tex]

Since [tex]9/5=1.8[/tex] Statement 2, is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of [tex]5/9[/tex] degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

[tex]c=5/9(f)[/tex]

[tex]c=5/9(5/9)[/tex]

[tex]c=25/81[/tex] which is ≠ 1)

An increase of [tex]5/9[/tex] degree Fahrenheit leads to an increase of [tex]25/81[/tex]

not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

I hope this helped x

Answer:

D!!!!

Step-by-step explanation:

If y is 1.5 when x is 3, and y varies directly with x, find y when x is 9.
0.5 4.5 9.5 18

Answers

Answer:

4.5

Step-by-step explanation:

9 is 3 times more than 3

4.5 is three times more than 1.5

:)

brainliest? ily

Which expression below is true, based on this picture?

Answers

Answer:

I think it's the 2nd one.

I didn't learn this topic yet.

please help and look at the picture

Answers

Answer:

12

Step-by-step explanation:

If i could show i would but i did it and it is 12.

So the right answer is -12.

Look at the attached picture

Hope it will helpful to you...

I need help please with finding the gcf of each pair of monomials (10 points )

Answers

Answer:

Step-by-step explanation:

3p^4 and 4p =  p(3p^3 and 4)

14xy^2 and 21y^3 =   7y^2(2x and 3y)

Solve for X 2( 5.5x+1) =24

Answers

Answer:

X=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(5.5x+1)=24

(2)(5.5x)+(2)(1)=24(Distribute)

11x+2=24

Step 2: Subtract 2 from both sides.

11x+2-2=24-2

11x=22

Step 3: Divide both sides by 11.

11x/11=

22/11

X=2

Hope this helps

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