Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?

Answers

Answer 1

Answer:

20 inches

Step-by-step explanation:

Mike needs to cut out circles with an area of 314 square inches.

Let d be the diameter of required the circle,

So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]

[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]

[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]

[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex]  [ using \pi=3.14]

[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]

[tex]\Rightarrow d^2=400[/tex]

[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]

[tex]\Rightarrow d=\pm 20[/tex] inches

Neglecting the negative sign as the length of diameter can't be negative.

So, the diameter of the required circle is [tex]d=20[/tex] inches.

As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].

So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.


Related Questions

The point where two rays meet is called a

Answers

Vertex Vertex Vertex

Answer:

An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.

Step-by-step explanation:

Enter the correct answer in the box.

What is the factored form of this expression?

64x^3 - 125

Write all factors in standard form.

Answers

9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)

5.78575184279 rounded to the nearest whole number

Answers

Answer:

6

Step-by-step explanation:

5.78575184279 rounded to the nearest whole number is 6.

To round off the number 5.78575184279  to the nearest whole number.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Number = 5.78575148279
Since the number after decimal place is .7 which is close to 1.0 so the round of the number gives 6.

Thus, 5.78575184279 rounded to the nearest whole number is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2


Which function corresponds to the table?
A) y = 3x - 2
B) y = 2x + 3
C) y = -2x + 3
D) y = -3x + 2

Answers

Answer:

c is the correct answer

What are school of fish ?​

Answers

Answer:

if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

rounded to the nearest thousandth the number 0.00006132 is___​

Answers

Answer:

to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0

Step-by-step explanation:

Please help! This is hard. Its number 2.

Answers

Why is the picture upside down I can’t see it clearly

Answer:

4

Step-by-step explanation:

The ratio is 2 H for 1 O. So, since there is 8 H, there will be half the amount of O atoms or 4 O atoms.

3x-4y=-7 and 4x+3y=24 solve for x

Answers

1. |3x-4y=-7| add 4y to each side |3x=4y-7| divide everything by 3 |x=4/3y-7/3|
2. |4x+3y=24| subtract 3y from each side |4x=-3y+24| divide everything by 4 |x=-3/4y+6|

hope this helps! if correct pls give brainliest! don’t have any yet :))

Samual has a collection of 80 marbles. in the collection, 20% of the marbles are red and the rest are blue. which statement accurately describes Samuels marble collection

Answers

Answer:

16

Step-by-step explanation:

Pls help ahh I suck at ka ty

Answers

Answer:

alana makes $15 an hour

y= $15x

Step-by-step explanation:

y equals the total amount she makes

x equals the amount of hours she works

+54- -75 what the answer

Answers

Answer:

-21

Step-by-step explanation:

positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.

Answer:

129

Step-by-step explanation:

+54- -75

54+75=129

When you are subtracting 54- -75, the symbols will automatically change to postives.

You could also use the method:

Keep, change, change

54          +            +75

-5 -2q = 9


please help me

Answers

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

Which equation is NOT written in slope-intercept form?

Y= -9x
2x-5=2y+14
Y=7x+3
Y=-3

Answers

Answer:

b

Step-by-step explanation:

:)

B.

Slope intercept form is y=mx+b and B is not written like this

Help with these math questions grade 12

Answers

Answer:

1. 15.1%

2. 8.3%

3. 12%

4. 25%

Step-by-step explanation:

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

HELP I ONLY HAVE 5 MINUTES TO TURN THIS IN, ILL MARK U AS BRAINLIEST

Answers

Answer:

That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall

Select all polynomials that are divisible by (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis. Choose all answers that apply: Choose all answers that apply: (Choice A) A A(x)=3x^3+2x^2-xA(x)=3x 3 +2x 2 −xA, left parenthesis, x, right parenthesis, equals, 3, x, cubed, plus, 2, x, squared, minus, x (Choice B) B B(x)=5x^3-4x^2-xB(x)=5x 3 −4x 2 −xB, left parenthesis, x, right parenthesis, equals, 5, x, cubed, minus, 4, x, squared, minus, x (Choice C) C C(x)=2x^3-3x^2+2x-1C(x)=2x 3 −3x 2 +2x−1C, left parenthesis, x, right parenthesis, equals, 2, x, cubed, minus, 3, x, squared, plus, 2, x, minus, 1 (Choice D) D D(x)=x^3+2x^2+3x+2D(x)=x 3 +2x 2 +3x+2

Answers

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

help graphs are not my favorite​

Answers

Answer:

d

Step-by-step explanation:

1f f(x) = ***, g(x) = x+4, and h(x) - 3x-2, what is (nofog)(x)?
o (hofog)(x) = -2
o (hofog)(x) = 3X-8
o (hºfog)(x) = *=14
(nofog)(x) - 3x-4

Answers

Answer:

first option  y + 7 = –(x + 6) is correct option

Step-by-step explanation:

HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches

Answers

Answer:

380,160 and 2nd one should be 240

Step-by-step explanation:

I need help please.
M a t h

Answers

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the conditions.

The car must go at least 55 mph. That means that 55 is included. Use ≥

The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).

The answer uses ≥

The answer is s ≥  55

Which negative numbers have an absolute value greater than 3?
Choose all that apply.

-1/2

-4.2

-16/5

-1.8

-5

-12

Answers

-16/5 =3.2

That is the correct answer
Answer: 4.2,-16/5,-5,-12

Plz answer them they are timed

Answers

It’s d because they didn’t give you b

Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.

Answers

Answer:

792

Step-by-step explanation:

Sorry if im wrong :)

What is five times seven divided by nine

Answers

Answer:

3.9 or 3.88888888889

Step-by-step explanation:

5*7=35

35/9=3.88888888889=3.9

Answer:

5*7 = 35 / 9 =3

Step-by-step explanation:

because it is the closest

The double number line shows the approximate number of ounces in a certain number of pounds:

Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces

Answers

Answer:

B- 160

Step-by-Step Explanation:

I did it before and I was rite, so trust me

Answer:

B 160

Step-by-step explanation:

8a + 3b - 10 + c^2

When a = 2, b = 5 and c = 4

Answers

Answer:

the answer is 37

Step-by-step explanation:

plug in numbers given: 8(2) - 3(5) -10 +(4)^2

simplify: 16 - 15 - 10 + 16

combine like terms = 37

Answer:

37

Step-by-step explanation:

8*2 +3*5- 10+ [tex]4^{2}[/tex]

16+ 15-10+16

47-10

37

Jessica is riding a taxi and is being charged the same rate
per mile traveled
• After 1 mile, she owes $8
• After 2 miles, she owes $14
• After 3 miles, she owes $20
Which function represents the amount she owes after riding
n miles?
Select one:

A: A(n) = 6 - 8

B: A(n) = 6n + 14

C: A(n) = 8

D: A(n) = 6n + 2

Answers

Answer:

D

Step-by-step explanation:

Answer:

D: A(n) = 6n + 2

Step-by-step explanation:

A is incorrect because: A(1)= 6(1)-8 is equal to -2 not 8

B is incorrect because: A(1)= 6(1)+14 is equal to 20 not 8

C is incorrect because: A(2)= 8(2) is equal to 16 not 14

D is correct because: A(1)= 6(1)+2 is equal to 8 which is correct,

A(2)=6(2)+2 is equal to 14 which is correct,

A(3)=6(3)+2 is equal to 20 which is also correct

Hope this helps



Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete
the statement to explain why the student was incorrect and find the correct answer.
The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $ _______
by the number of pounds, _______
So, the cost per pound is $ _______

Answers

Answer: A) $2.40 B) 3 C) $0.80

A, B, and C are in order of the blanks.

Answer:

The student found the unit cost for 2 pounds of noodles, not 3 pounds. To find the unit cost for 3 pounds, divide the total cost, $2.40

by the number of pounds, 3 lbs

So, the cost per pound is $0.80

Step-by-step explanation:

2.40 divided by 3 is $0.80

I hope this helped, please mark Brainliest, thank you!

I need the answer real quick will someone help me

Answers

More info plz there is no context
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