A rectangular yard measuring 36 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answers

Answer 1

Answer:

664 ft²

Step-by-step explanation:

The rectangular yard has dimensions 36 ft by 55 ft.

The area of the yard is 36 ft × 55 ft = 1980 ft²

The walkway inside the fence is 4 ft wide. The area inside the walkway has dimensions

36 ft - 2 × 4 ft = 28 ft

55 ft - 2 × 4 ft = 47 ft

The area of the rectangle inside the walkway is 28 ft × 47 ft = 1316 ft²

The area of the walkway is the difference between the total area enclosed by the fence and the rectangle inside the walkway.

area of walkway = 1980 ft² - 1316 ft² = 664 ft²


Related Questions

x^8+x^4+1−(24)(7)−45 simplify ​

Answers

given:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

to find:

the simplest form.

solution:

[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]

[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]

[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]

[tex] = {x}^{8} + {x}^{4} - 212[/tex]

Which graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0?
X2-
X-2+
Y

Answers

The graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is the graph attached.

What is one-sided limit for function?

It should be noted that the limit from one side is simply when the side of the functions is used with respect to the point of interest.

For this graph, the point x = 2 on the left from the point x = 2 lies a ray. The prediction here is that the value of function on x = 2 us the value that the line gives for y.

Therefore, the graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is attached.

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Work out the length of x

Answers

Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

please help asap i cannot find the answer anywhere.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.

Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically.

Answers

y<4x-8

< sign so it's dotted line to be graphed .

Put (0,0)

0<0-80>-8

Away from origin shading

And

y≥-5/2x+5

Put 0

0≥-5/5=-1

Rational function ,two side parabola type lines

Dark lines and it's shading from origin in one part and in other towards origin(Look attachment)

Graph attached

Yes (5,8) is included in solution region

Answer:

Given inequalities:

[tex]y < 4x-8[/tex]

[tex]y\geq -\dfrac{5}{2}x+5[/tex]

Part A

The graph of the system is made up of 2 straight line graphs.  

The graph of  [tex]y < 4x-8[/tex]  is a dashed straight line with shading under the line.

The graph of  [tex]y\geq -\dfrac{5}{2}x+5[/tex]  is a solid straight line with shading above the line.

The solution area is the area where the shading of the two lines overlaps.

Part B

To determine if the point (5, -8) is included in the solution area, input the point into both inequalities:

[tex]\begin{aligned}y & < 4x-8\\\implies -8 & < 4(5)-8\\-8 & < 20-8\\-8 & < 12 \quad \leftarrow \textsf{correct}\end{aligned}[/tex]

[tex]\begin{aligned}y & \geq -\dfrac{5}{2}x+5\\\implies -8 & \geq -\dfrac{5}{2}(5)+5\\\implies -8 & \geq -7.5 \quad \leftarrow \textsf{incorrect}\end{aligned}[/tex]

Therefore, the point (5, -8) is not included in the solution area as it is only true for one inequality.

A good’s demand is given by: p = 479 – 2q. At p = 80, the point price elasticity is:

Answers

If the value of the p is 80 and the equation is p = 479 – 2q. Then the price point of the elasticity is 199.5.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A good’s demand is given below.

p = 479 – 2q

At p = 80, the point price elasticity will be

80 = 479 – 2q

2q = 479 – 80

2q = 399

 q = 199.5

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Millie makes a placemat with a triangular pattern. Each triangle has a base of 5 inches and a height of 4 inches. Millie sews together a total of 42 triangles.

Each triangle has an area of
inches2
The total area of the placemat is
inches2

Answers

Answer:

10 inches²

420 inches²

Step-by-step explanation:

1) Area of a triangular placemat:

= ½ × base × height

= ½ × 5 × 4

= 10 inches²

2)  Total area of the placemat:

= Area of a placemat × Number of triangles

= 10 × 42

= 420 inches²

One side of a square is 10 units. Which is greater, the number of square units for the area of the square or the number of units for the perimeter? Explain.

Answers

Given:

[tex]\text{Side of }\square \ \text{= 10 units}[/tex]

Area of square:

The area of the square can be determined by using the formula "(side)²".

⇒ Area of square = (side)²

⇒                           = (10)²                                                   [Side = 10 units]

⇒                           = (10)(10)

⇒                           = 100 units²

Therefore, the area of the square is 100 units².

Perimeter of square:

The perimeter of the square can be found by using the formula "4(side)".

⇒ Perimeter of square = 4(side)

⇒                                   = 4(10)

⇒                                   = 4 × 10

⇒                                   = 40 units

Furthermore, the question says:

Which is greater?

- The number of square units (100) for the area of the square.

- The number of units (40) for the perimeter

Conclusion: Since 100 is greater than 40, the number of square units for the area of the square is greater than the number of units for the perimeter.

If it takes 2/3 hours to paint 2/5 room how many hours does it take to paint one room

Answers

Step-by-step explanation:

2/3 hours for 2/5 room.

that means

5×2/3 = 10/3 hours for 5×2/5 = 2 rooms

and then 1 room in 10/3 / 2 = 5/3 hours

Please help!!!!!
Suppose you toss 10 coins randomly at the board below and that all coins stay on the board. Find the probability as a fraction of landing in the shaded region.

A. 1/9
B. 8/9
C. 2/3

Answers

Answer: B

Step-by-step explanation:

The area of the larger square is 9^2 = 81, and the area of the smaller square is 3^2 = 9. This means the area of the shaded region is 81-9=72. Hence, the desired probability is 72/81 = 8/9.

Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.

Part A
How would you represent Andy’s descent as a unit rate? Express your answer as an integer
Part B
If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?

Answers

Answer:
A. -4 feet per minute (FPM)
B. -24 feet below sea level.

HELP ME PLS!!!!!!!!!!!!!!!! I NEED HELP ASAP CUZ I NEED TO GO SOMEWHERE!

Answers

Answer:

D 2,5

Step-by-step explanation:

have a good day and don't copy me

which set of sides would make a right angle ?

Answers

Answer:

It's A 5 12 & 13 make a right angle

convert R1200 to japanese yen​

Answers

Answer:

32618.30

Step-by-step explanation:

R represents Brazilian real, therefore, right now  1 real equals 27.18 yen

therefore multiply...

giving you roughly 32,618.30 yen per R1,200

(in fact, as i type this it changes)

hope this helps:)

multiply 4x³V4x²(2³V32x²-x³V2x)

Answers

Answer:

32x^(7)V^(36)-4x^(9)V^(6)

Step-by-step explanation:

Please Hurry!!

Find the measure of WOV. Which angle relationship did you use?

Answers

Answer:

angle wov=90-30angle wov=90-30=60

( by 90 degree given in figure

sum of wox+wov=vox

Find the surface area of a cylinder with a height of 7 yd and a base diameter of 10 yd.
Use the value 3.14 for , and do not do any rounding.
Be sure
to include the correct unit.
7-yd
10 yd

Answers

if it has a base diameter of 10, that means its base radius is half that, or 5.

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(7+5) \\\\\\ SA=10\pi (12)\implies SA=120\pi \\\\\\ \stackrel{using~\pi =3.14}{SA=376.8~yd^2} \end{array}[/tex]

Draw the following triangle after a translation 3 units to the right and 3 units up

Answers

The translation 3 units to the right and 3 units up is attached below.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A translation is a transformation that moves every point in a figure the same distance in the same direction.

For example, this transformation moves the parallelogram to the

right 5 units and up 3 units.

It is written ( x , y ) → ( x + 5 , y + 3 ) .

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Find the Volume! ^^
(Giving brainiest)

Answers

Answer:

The total volume of the composite figure is 420 ft³.

Step-by-step explanation:

I'm not sure but I solved it as fast as I could

I apologize if it's incorrect :(

A lily pad is growing on a lake and it grows 2 times bigger a day. On the 20th day it was covering the whole lake. On what day was it covering one eight of the lake?

Answers

On the 19th day it covered 1/2 of the lake.
On the 18th day it covered 1/4 of the lake.
On the 17th day it covered 1/8 of the lake.

What is the missing angle? (Please use image attached)

Answers

Answer:

56

Step-by-step explanation:

Since vertical angles are equal, we know the two angles labeled are equal.

We can then set up an equation to get

[tex]19x-28=9x+52.[/tex]

Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us

[tex]10x-28=52[/tex].

Then, adding [tex]28[/tex] to both sides gives

[tex]10x=80,[/tex]

and dividing both sides by 10 gives

[tex]x=8.[/tex]

Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:

[tex]9(x)+52=9(8)+52=72+52=124.[/tex]

Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have

[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]

What is the most prescise classification of this shape?

Answers

Answer:

the answer for this question isnparallelogram

Answer:

Parallelogram

Step-by-step explanation:

Jack can program an app in 9 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?

Answers

The time it will take Jack and Chris to program the app when they work together is 4.24 hours.

What is a rate?

Rate is a ratio that compares two different quantities which have different units.

Jack program an app in 9 hours. Therefore, the rate is as follows;

1 / 9

Chris can program the same app in 8 hours. Therefore, the rate is as follows;

1 / 8

When they do it together.

1 / 9 + 1 / 8 =  8 + 9/ 72 = 17 / 72

1 / t = 17 / 72

cross multiply

72 = 17 t

t = 72 / 17

t  = 4.23529411765

t = 4.24

Therefore, the time it takes for both of them is 4.24 hours.

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i need the answer to this question please

Answers

Answer:

B and C

Step-by-step explanation:

Hope it helps

Jada recorded the heights of the plants she's growing in her garden. This line plot shows what she recorded.

How much taller is one of the tallest plants than one of the shortest plants?

Answers

The tallest plant is  [tex]1 \dfrac{3}{4}\ inches[/tex]   timed taller than the shortest plant.

What is graphical analysis?

The finding of the conclusion by reading the data on the graph is termed as the graphical analysis.

Given:

The line plot below shows the heights of flowers in a garden.

To Find:

How much taller is the tallest flower than the shortest flower?​

The solution will be:

Knowing that each dot represents it's heights.

Let's makes a table:

[tex]6 \dfrac{1}{2} =OO[/tex]

[tex]6 \dfrac{3}{4} = O[/tex]

7 ⇒ ОООО

[tex]7 \dfrac{1}{4} == > OOOOOO[/tex]

[tex]7 \dfrac{1}{2} = OOOO[/tex]

[tex]7 \dfrac{3}{4} = OO[/tex]

8 ⇒ none

[tex]8 \dfrac{ 1}{4} = O[/tex]

[tex]8 \dfrac{1}{2}[/tex] ⇒ none

It's also given that the tallest flower and the shortest flower.

Which is:

Smallest → [tex]6 \dfrac{1}{2}[/tex]

Tallest → [tex]8 \dfrac{1}{4}[/tex]

Now all we have to do is subtract tallest flower from the shortest flower.

[tex]8 \dfrac{ 1}{4} - 6\dfrac{ 1}{2}[/tex]

Break off 1 from 8 : 8 1/4 = 7 5/4

Now we have:

[tex]7 \dfrac{5}{4} - 6\dfrac{ 1}{2}[/tex]

Subtract whole number: 7 - 6 = 1

Combine fraction:

[tex]\dfrac{5}{4} - \dfrac{1}{2} = \dfrac{3}{4}[/tex]

[tex]=1 + \dfrac{3}{4}[/tex]

Hence the tallest plant is  [tex]1 \dfrac{3}{4}\ inches[/tex]   timed taller than the shortest plant.

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I Need help Really bad

Answers

Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

radius

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

volume

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

Find the value of

484 ÷ 44 × 6 × 4 = ___

Answers

Answer:

the anwser is 264

Step-by-step explanation:

484 divieded by 44 = 11

11 times 6 = 66

66 times 4 = 264

Answer:

The answer is 264 pls mark me brainliest

Step-by-step explanation:

Sabine rode on a passenger train for 480 miles between 10:30 A.M. and 6:30 P.M. to visit
a friend in a different city.
Part A
Calculate the train's average speed while Sabine was riding.
Answer
miles per hour

Answers

Answer:

60

Step-by-step explanation:

630 minus 1030 is 8 hours

480 divided by 8 is 60

What is the equation of the translated function, g(x), if f(x) = x2? g(x) = (x 5)2 2 g(x) = (x 2)2 5 g(x) = (x – 2)2 5 g(x) = (x – 5)2 2

Answers

Answer:

13.54

Step-by-step explanation:

Answer:

the equation of the translated function is,

g(x) = (x – 5)^2 + 2

Step-by-step explanation:

got it right on edge

the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.

Answers

Answer:

x = 348

Step-by-step explanation:

From the given we can tell it a supplementary angle.

Don't know what supplementary angle is?

Supplementary angle are angles that :

Equal 180 °

Solve:  

Since,

∠ABD is (0.18x+54)°

∠CBD is (0.07x+39)°

Thus,

(0.18x+54) + 0.07x + 39 = 180

Group likes terms:

0.25x + 54 + 39 = 180

0.25 + 93 = 180

Subtract 93 from both sides

0.25x = 87

x = 348

Check Answer:

0.18(348) + 54 + 0.07(348) + 39

= 180

Jasmine deposited $700 in an account earning 9% interest compounded annually.
To the nearest cent, how much will she have in 1 year?

Answers

Answer:

$763

Step-by-step explanation:

Answer:

Jasmine will have 763 dollars in one year

Step-by-step explanation:

Happy to help :D

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