Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches all the way around the cushion, how much fabric will she need?

Answers

Answer 1

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

Answer 2

The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.

What is the surface area of a cylinder?

Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:

[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]

The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.

The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.

The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.

Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]

Learn more about area of a circle here:

https://brainly.com/question/13056790


Related Questions

Which of the following is TRUE about sampling distributions?
Larger sample gives worse data. More samples give worse data.
Larger sample gives better data. More samples give worse data.
Smaller sample gives worse data. More samples give better data.
Smaller sample gives better data. More samples give better data.

Answers

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

mo played 30 games of chess he won 18 of these games what fraction of the games did he win give your answer in its simplest form

Answers

Answer:

18/30

Step-by-step explanation:

2 + 6x > 38 How can I solved this?​

Answers

Answer:

Below

Step-by-step explanation:

Move all terms not containing  x  to the right side of the inequality.

6 x  >  36

Divide each term by  6  and simplify.

x  >  6

Inequality Form: x  >  6

Interval Notation: (  6 ,  ∞ )

Hope this helps:)

someone please help me ​

Answers

Answer:

Ok it might take a bit but I'll help:))

Step-by-step explanation:

Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.

Answers

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

which expression is equivalent to the expression shown?

Answers

Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612
A. 16,305
B. 28,695
C. 51,364
D. 78,426

Answers

I think it's C, I could be wrong though

find the value of x in the triangle shown below

Answers

Using the Pythagorean Theorem where:
a^2 + b^2 = c^2

So,

9^2 + 3^2 = 90

Sqrt 90 = 9.48

x = 9.48

what is the input of arccos

Answers

Answer:

It returns the angle whose cosine is a given number.

Step-by-step explanation:

For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"

cos30 = 0.866 Means: The cosine of 30 degrees is 0.866

arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.

Use arccos when you know the cosine of an angle and want to know the actual angle.

When filled, a balloon in the shape of a sphere has a diameter of 14 inches. What is the approximate volume of air, in cubic inches, needed to fill this balloon?

1,078
1,437
8,621
11,494 ​

Answers

Answer:

1,437

Step-by-step explanation:

Answer:

a I'm not as smart so trust me

Step-by-step explanation:

PLEASE HELPP ME IM GONNA FAIL

Answers

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

What are the steps you would take to find the area of the shaded region? Check all that apply.

Answers

Answer:

THE ANSWER IS INCOMPLETE SO IM GOING TO REPORT:/

Step-by-step explanation:

find the value of sec ø if cos ø=2/19;0°<ø<90°

Answers

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

simplify
√45 + √80 − 3√20​

Answers

√45+√80−6√5

Step-by-step explanation:

Exact Form:

√45+√80−6√5

Decimal Form:

7.29108201…7.29108201…

Your answer would be:
(that symbol above 45) 5

Hope this helps :)

I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here

Answers

So, honestly if its allowed you can just graph the equation ti prove the y intercept is five

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

Given that -5 < -3, which statement is not true?

-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,

Answers

Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

It’s -3 is to the right of -5

Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404

Answers

9514 1404 393

Answer:

  48

Step-by-step explanation:

Put 16 where x is and do the arithmetic.

  f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)

  f(16) = 48

g2 + 23 when g = 6??? help

Answers

12+23 then 35 is the answer

Ms. Sanchez has $200 to spend on parking and admission to a museum. The parking will cost $10 and admission tickets cost $15.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the museum, including herself.

Answers

Answer:

12 people including herself

Step-by-step explanation:

x = number of people

($200 - $10)/$15.50 = x

x = 12.26

HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation

Answers

Answer:

the slope should represent the fee of each class

.

the vertical intercept is the membership fee

Answer:

the y-inyetcept means the starting fee to join

and the slope means fee per class paid by the customers.

Step-by-step explanation:

.............................................................................................

Answers

Answer:.............................................................................................

Step-by-step explanation:

.............................................................................................

Please Help Me!!! What is 81y + 54

Answers

Answer:

2

Step-by-step explanation:

y

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

Joan paid $47.98 for a jacket. If the tax rate is 8.25%, what was the cost of the jacket before tax?

Answers

Answer:

$44.021

Step-by-step explanation:

$47.98 - 8.25% = $44.021

En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?

porfa para ya

ayudaaaaaaa

Answers

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 days

Step-by-step explanation:

1.5/5=7.5

Hope this helps!

HELP ME PLEASE
Find the Volume of each cylinder. Round to the nearest tenth

Answers

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

HELP HELP HELPPPPP PLEASEEE

Answers

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

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