A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
What is the approximate area of the paved walkway?

A Paved Walkway Around A Garden Has An Outer Diameter Of 80 Ft And An Inner Diameter Of 40 Ft. A Diagram

Answers

Answer 1

Given:

Outer diameter = D = 80 ftInner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²


Related Questions

What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]

please help asap!! i’ll give brainlist if right.

Answers

Answer:

dogs = 2

cats = 80

Step-by-step explanation:

Here I will assume that cats and dogs are proportional

c = y d, if you substitue, you get

10 = y 4, which rearranged, becomes

y = 10/4 = 2.5

now that we know y, we can work out x and y, the missing dogs and cats

4 = 2.5 d

here, dogs = 2

c = 2.5 * 32

2.5 * 32 = 80

here, cats = 80

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $10.50. The auditorium can hold a maximum of 105 people. The drama club must make at least $990 from ticket sales to cover the show's costs. If 65 adult tickets were sold, determine the minimum number of student tickets that the drama club must sell in order to meet the show's expenses.

Answers

Answer:

You need to sell 39 Student tickets minimum to be able to cover the cost over all.

Step-by-step explanation:

If they sell 65 adult tickets, then you have to do 65 x 10.50 = $682.5

with that in mind you will take 308 + 682.5 because that equals 990.5 that would be the minimum amount but you would need to to take 39 x 8 to get 312 because 38 x 8 is 304 so that isn't enough.

HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?

Answers

Answer:

y = x - 1

Step-by-step explanation:

Put it in point-slope form:

y - 0 = 1(x - 1)

y = x - 1

a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation

Answers

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

Evaluate: 3000−3.5m when m = 100

Answers

Answer:

2650

Step-by-step explanation:

Ok so,

3000-(3.5(100))

3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)

so it would be:

3000-350

Simply subtract.

3000-350= 2650

Answer: 2650

Cheers! I hope you can understand it well.

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.


Answers

Answer:

V=1582.56 cubic cm

Step-by-step explanation:

Which angles are complementary to 1? Select all that apply.

Answers

Answer:

angle 6 and angle 3

Step-by-step explanation:

angle 1 and angle 6 add up to 90 degrees

angle 6 is vertical to angle 3, so 1 is complementary to 3 as well

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?

Answers

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

[tex]a = 2[/tex] --- initial

[tex]d = 4 - 2 = 6 - 4[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]W_n = a + (n - 1)d[/tex]

[tex]W_n = 2 + (n - 1)*2[/tex]

[tex]W_n = 2 + 2n - 2[/tex]

[tex]W_n = 2n[/tex]

The gray squares

[tex]a = 6[/tex] --- initial

[tex]d = 8-6=10-8[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]G_n = a + (n - 1)d[/tex]

[tex]G_n = 6 + (n - 1) *2[/tex]

[tex]G_n = 6 + 2n - 2[/tex]

[tex]G_n = 4 + 2n[/tex]

When the white squares is 16

[tex]W_n = 16[/tex] --- Calculate n

[tex]W_n = 2n[/tex]

[tex]16 = 2n[/tex]

[tex]8 = n[/tex]

[tex]n = 8[/tex]

To get the number of gray squares;

Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]

[tex]G_n = 4 + 2 * 8[/tex]

[tex]G_n = 20[/tex]

7/8 – m = 2/3

What is the value of m?

correct=brainliest

Answers

Answer: the answer is 5/24

Step-by-step explanation:

If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3

Hope this helps ^^

I’ve had this problem before and the answer is indeed 5/24

Which three angle measures can be used to make AABC?
A)
28°
B)
29°
C)
58°
D)
89°
E)
94°

Answers

answer choices a, c, and e is correct.

28 + 58 + 94 = 180

Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x


Answers

Step one, didn't apply the 1/4 to x.

Find the measures of angles 1,2,3,5,6,7, and 8.

Answers

Answer:

1DK

Step-by-step explanation:

Help please . Thank you !!

Answers

Answer:

A=25m

Step-by-step explanation:

Jackie had a puzzle book that contains a total of 70 puzzles she has completed 2/5 of the puzzles in the book if Jackie completes 18 more puzzles what is the total number of puzzles that she will have completed in the book

Answers

Answer: 46 puzzles  

Step-by-step explanation:

There are 70 puzzles in total in the book.

Jackie has completed / of those puzzles. In whole numbers that is:

= 2 /5 * 70

= 28 puzzles

She then completes 18 more puzzles.

Total that she has completed is:

= 28 + 18

= 46 puzzles  

I need help finding the slope

Answers

Answer:

oh, well, sorry

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Don abel tiene una malla de 100m de longitud para hacer un cerco . Y quiere hacer in corralon de forma rectangular no sabe todavia de que fimensiones hacerlo pues quiere que sus cuyes tenhsn el mayor terrebno posible ¿ de que medidas se puede construir el corral rectangular usanfo los 100m de malla ?

Answers

Answer:

Don Abel debe construir un cuadrado con lados de 25 metros de longitud.

Step-by-step explanation:

Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:

[tex]A = w\cdot l[/tex] (1)

[tex]p = 2\cdot (w+l)[/tex] (2)

Donde:

[tex]A[/tex] - Área, en metros cuadrados.

[tex]p[/tex] - Perímetro, en metros.

[tex]w[/tex] - Ancho, en metros.

[tex]l[/tex] - Longitud, en metros.

Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):

[tex]w = \frac{p}{2}-l[/tex]

Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:

[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]

[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)

A continuación, obtenemos la primera y segunda derivada de (3):

[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)

[tex]A'' = -2[/tex] (5)

Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:

[tex]\frac{p}{2}-2\cdot l = 0[/tex]

[tex]2\cdot l = \frac{p}{2}[/tex]

[tex]l = \frac{p}{4}[/tex]

Por (5), sabemos que ese valor crítico está asociado al área máxima.

Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:

[tex]l = 25\,m[/tex]

Ahora, tenemos el ancho de la figura por (2):

[tex]w = \frac{p}{2}-l[/tex]

[tex]w = 25\,m[/tex]

En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.

What are the values of x and y? I REALLY NEED Y , I HAVE X. I will mark you brainliest if you give me y and its correct!​

Answers

Answer:

72.5°

Step-by-step explanation:

180° - 35° = 2y°

145° = 2y

145/2 = 50+22+0.5 = 72.5

Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8

Answers

Answer:

Option: A

Step-by-step explanation:

Hope it helps you!

$140 spent on a 90-minute taxi ride

Answers

Dang bro they charged to much

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

D is the correct answer

Estelle bought 3 pineapples to cut up and serve on a fruit platter. The pineapples each cost the
same amount, and they cost less than $12 in all.
Let x represent how much each pineapple cost. Which inequality describes the problem?
3x > 12
3x < 12
Solve the inequality. Then, complete the sentence to describe the solution.
Each pineapple cost less than $

Answers

Answer:

Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.

Step-by-step explanation:

The inequality that describes the solution is 3x < 12.

The cost of each pineapple is less than $4.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of pineapples = 3

Cost of each pineapple = x

Now,

The cost of all the 3 pineapples = less than $12.

The cost of 3 pineapples.

3x < 12

x < 12/3

x < 4

Thus,

The inequality is 3x < 12.

The cost of each pineapple is less than $4.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.

Answers

Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you

Step-by-step explanation:


Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010

Answers

Answer:

It adds by +5

Step-by-step explanation:

Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!

Answers

Answer:

900 people

Step-by-step explanation:

540 / 60 = 9

10% = 9

9 x 100 = 900 people

Hope that helps!

Answer: 900

Explanation:

CAN SOMEONE PLEASE HELP ME

Answers

same side exterior angles are two angles that are on the same side and exterior to the parallel lines. they're supplementary

If 4 × 5 = 20, then 20 ÷ 4 equals what number?

Answers

Answer:

20 ÷ 4 = 5

(Brainliest please! :D)

Answer:

5

Step-by-step explanation:

5

5

5

5

See how I put five 4 times? Multiply 5 by 4 and you get 20. 20 divided by 4 equals 5. Just like how 20 divided by 5 equals 4. You just flip it.

This silo in Vermont is topped with a hemisphere (half of a sphere) dome. If the radius of the hemisphere is 12 feet, then the volume of the hemisphere is ___ cubic feet.

Answers

Answer:

3617 cubic feet

Step-by-step explanation:

V = 2/3 * π * r³

V= 2/3 * 3.14* 12(cubed)

V=2/3 * 5426

V= 2 * 5426 ÷ 3

V= 3617 Cubic feet

Find the perimeter of Angle ABC with vertices A(-5,4), B(4, -5). and C(-5, -5). Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

please help it’s the last question

Answers

Answer:

[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] is the answer

Step-by-step explanation:

Equation of the line: y = 6/5x + 1

                        = 5y = 6x + 5

                        = 6x - 5y + 5

Equation of the perpendicular line: bx - ay + k = 0

                                                       = -5x -6y + k = 0

Equation passes through (6,-6),

-5(6) -6(-6) + k = 0

-30 + 36 + k = 0

6 + k = 0

k = -6

Substituting,

-5x -6y + k = 0

-5x -6y -6 = 0

-6y = 5x + 6

[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] (Slope-Intercept form)

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