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
20 inches.............

Related Questions

Estimate 73,784-32,863 by first rounding each number to the nearest thousand

Answers

The answer is 40,000

The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price. What will you pay?

Answers

30% + 10% = 40% off
150 * 0.40 = $60 off
150 - 60 = $90
Solution: you pay $90

Answer:

$94.50

Step-by-step explanation:

150 x .30 = 45, so you can $45 off.

105 x .1 = 10.5 so you can take another $10.50 off.

The final price would be $94.50

transforming quadratic graphs

Answers

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 47 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16

Which one is greater 10.20 or 10.02?

Answers

Answer:

10.20 is the greater one

Answer:

10.20

Step-by-step explanation:

Becuase that has .18 more than 10.02. Hope this helps

i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.​

Answers

Answer:

y-intercept: 5

slope: 1/2

Step-by-step explanation:

The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.

First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).

Which statement about the dilation of these triangles is true?

The scale factor is
The scale factor is 2
The scale factor is 3.
The scale factor is 4.

Answers

Answer

when 2 triangle scales are similar the ration reduces and become a scale factor

Answer:

The scale factor is 2

Step-by-step explanation:

Helppp me faststttttt plzzzzz

Answers

Answer:

Step-by-step explanation:

x + 25 + 4x + 10 = 180

5x + 35 = 180

5x = 145

x = 29

<1 = 29 + 25 = 54

<2= 4(29) + 10 = 116 + 10 = 126

What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?

Answers

hopefully this helps sss

The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).

It is given that a point (6,-2) is rotated 90° counterclockwise about origin.

We have to find the new point after rotation.

What do you mean by rotation counterclockwise ?

If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.

As per the question ;

A point (6,-2) is rotated 90° counterclockwise about origin.

Let's assume (6,-2) = (x , y)

If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,

(x , y ) ⇒ ( y , x)

So ;

(6 , -2) = (-2,6)

So ;

The new point will be ;

= (-2 , 6)

Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).

To learn more about rotation clockwise click here ;

https://brainly.com/question/12551582

#SPJ2

How are fractals developed

Answers

Answer:

Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.

Step-by-step explanation:

help please this is due in a few minutes!!​

Answers

Put the whole number over 1,
2 x 3/4
2/1 x 3/4
Now you would multiply across
6/4

Jacob makes a scale drawing for a crate with a scale factor of 1:20 the dimitions of his scale drawing is 3 in long and 2 in wide the bulder creates a scale drawing of the crate with the scale factor of 1:10. What are the dimitions of the builders drawing?

Answers

Answer:

6 in long ; 4 in wide

Step-by-step explanation:

With a scale of 1:20

Scaled drawing is 3 in long ; 2 in wide

Actual dimension :

Length = 20 * 3 = 60 in

Width = 20 * 2 = 40 in

Hence, to make a scaled drawing using 1 :10

Dimension :

Length = (1/10) * 60 = 6 inches

Width = (1/10) * 40 = 4 inches

A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.

Answers

If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.

If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.

So the two conditions are:

The point must be on the line of reflectionThe point must be the center of dilation

These two facts mean that the line of reflection must go through the center of dilation.

2x+3y=12 Complete the missing value in the solution to the equation. (_,8) I NEED HELP QUICK

Answers

Answer:

-6 is the missing value.....

Answer:

(-6, 8); the missing value is -6

Step-by-step explanation:

First, you need to solve the given equation for x

1: 2x + 3y = 12 (Given)

2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)

3: x = -1.5y + 6 (Divide both sides by 2)

Now, you can solve for the missing x in the solution set (x, 8):

where x = -1.5y + 6 and y = 8,

x = -1.5(8) + 6

x = -12 + 6

x = -6

So, the missing value is -6

Consider the system
y= 4x-3
y= x+3

Answers

because she may be.sto probably ok so yeah

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answers

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!

Answers

Answer:

its 12

Step-by-step explanation:

12 oz

Answer:

22.5/3

Step-by-step explanation:

Hey, the idea is to set up an equation that you can solve

36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left

Now just solve for how much tea is in each cup.

36-13.5 = 3(X)

3X = 22.5

x = 22.5/3

Is this correct?
:'(

Answers

Answer:

I think that's right cus I did this test

write an expression where h is doubled then increased by 20%

Answers

2h*0.2

2h is h doubled

20% becomes 0.2

Pls help quickly!!!!!!!!!!!!!!!

Answers

Acute triangle because it has three acute angles. An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

Answer:

hmm. I would say right.

Step-by-step explanation:

The angle when you flip your triangle is 90 degrees.

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?

Answers

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

What is the measure of

Answers

Answer:

The measure of ∠G is 59°

Step-by-step explanation:

When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.

In the given figure

∵ GT is a secant that intersects the circle at points H and T

∵ GE is a secant that intersects the circle at points F and E

The intercepted arcs are HF and TE

∵ GT ∩ GE at G

∵ Point G is outside the circle

→ By using the rule above

m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)

∵ m arc TE = 175°

∵ m arc HF = 57°

→ Substitute them in the rule above

∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)

m∠G = 59

The measure of ∠G is 59°

-2.4x+3.8x-x please helpppp

Answers

Answer:

0.4x

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

-2.4x + 3.8x - x

Step 2: Simplify

Combine like terms:                       1.4x - xCombine like terms:                       0.4x

i need help on this plz
a. b. c. d. ???

Answers

Answer:

I'm pretty sure the answer is B

i think the answer is b !!

In which diagram are angles 1 and 2 vertical angles?

Answers

The first diagram since the two angles are opposite of each other

Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6. ​

Answers

Answer:

- 35/78

Step-by-step explanation:

The quotient of

5/6÷ (-13/7) =5/6×(-7/13) =- 35/78

A kukura puzzle on my math homework plz help

Answers

is there a picture?

Answer:

i have no clue ngl but online theres websites that will solve them for you

Step-by-step explanation:

if you want a link lmk lol

Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?

Answers

Make an equation
Y = 18 + 1x
y = total pages, x = hours
plug in 31 for total page
31 = 18 + 1x
Subtract 18 from both sides
x = 13
Solution: 13 hours

A bically orginally priced at 225 was marked down 30 % after a week, the bicycle was marked down another 15% off the sale price what are the sale prices of the bike after each discount

Answers

Answer:

Kapdweswq DAWFDGEADAEF DAC E FEWAFWED EW DCQFFF

Step-by-step explanation:

Sfweqrwrrf wqwf q fewqfwqefw f wqfqwefqw

Answer:

45% or -45% decrease

Step-by-step explanation:

Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
If 4 marbles are selected at random, what is the probability you will get exactly 1 purple?
*Note, write your answer as the most reduced fraction possible.
For example 1/3 NOT 6/18.

Answers

Answer:

3/4

Step-by-step explanation:

Please help me out! ​

Answers

1. there are two methods to solve this system

I.substition

from the first relation we can deduct

2a-b=4

2a=4+b

a=(4+b)/2

now we substitute a in the second relation

(4+b)/2+b=5

we multiply by 2

4+b+2b=10

3b=6

b=6/3=2

a+2=5

a=3

II.reduction

2a-b=4

a+b=5

we can add the two relations together

2a+a-b+b=4+5

3a=9

a=3

3+b=5

b=2

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