Please help simplify fractions

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

Circumference of the circle is the length of its boundary. It can given as,

[tex]P=2\pi r[/tex]

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

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-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]

Hope this helps <:)

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Answer:

add the 1.94+0.56 to get 2.5 liter

Step-by-step explanation:

wow, he drank almost 2 liters of milk more or less in one turn ? he might spend quite some time in the bathroom ...

anyway, x = original amount of milk.

x - 1.94 = 0.56 now we add 1.94 to both sides

x = 2.5 L

Answer:

-3(x-2)×2+17=0

Answer:

$126

Step-by-step explanation:

since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126

Answer:

total bill was $126

Step-by-step explanation:

3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126

Step-by-step explanation:

please mark me as brainlest

Answer:

Explanation:

make x the subject in equation 2,

5x + y = -3

y = -3 - 5x __ equation 2

using substitution method,

-4x + 3(-3 - 5x) = 29

-4x -9 -15x = 29

-19x = 38

x = -2

Find y,

y = -3 - 5x

y = -3 - 5(-2)

y = 7

Answer:

86 degrees

Step-by-step explanation:

The angles of a triangle all add up to 180.

x is 45 degrees

y is 49 degrees

49 + 45 = 94

180 - 94 = 86

The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86

Answer:

m∠1 = 89°

Step-by-step explanation:

     Since m∠2 is a part of ∠GFH, he can do the following.

∠GFH - m∠2 = m∠1

133° - 44° = 89°

Answer:

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Step-by-step explanation:

[tex]log_b(a) = c[/tex] ↔ [tex]b^c = a[/tex]

You are given [tex]b[/tex] = 4

You re also given [tex]c[/tex] = -5

To find a, use the exponential form:

[tex]b^c = a[/tex]

[tex]= (4)^{-5} = \frac{1}{4^5} = a[/tex]

Then you can convert into a logarithm.

[tex]log_4(\frac{1}{4^5}) = -5[/tex]

Answer:

There are multiple ways of writing this:

[tex]\sf -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)[/tex]

Step-by-step explanation:

Log rule:  [tex]\sf log_a(a)=1[/tex]

[tex]\sf \implies log_4(4)=1[/tex]

[tex]\sf \implies -5log_4(4)=-5[/tex]

Log rule:  [tex]\sf c \cdot log_ab=log_a(b^c)[/tex]

[tex]\sf \implies -5log_4(4)=log_4(4^{-5})[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{4^5}\right)[/tex]

                       [tex]\sf = log_4\left(\dfrac{1}{1024}\right)[/tex]

Answer:

In the beginning there were 20 bacterias in the petri dish.

Answer:

27

Step-by-step explanation:

30% of 90 can be written as 30% × 90

= 30/100 × 90

= 27

Answer:

When the actual temperature is -14 degrees Celsius, the wind chill equivalent temperature would be -22.2 degrees Celsius.

When the actual temperature is 3 degrees Celsius, the wind chill equivalent temperature would be 0.6 degrees Celsius.

Step-by-step explanation:

There is a + 1.2 pattern going right.  So each time you increase the actual temperature by 1, you increase the wind chill equivalent temperature by 1.2

Answer:

Step-by-step explanation:

In order to solve this problem, you need to add their similar elements together.

First, add similar to elements.

[tex]\sf{a+a=\boxed{\sf{2a}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

D.

Step-by-step explanation:

817.099 is the smallest

please give brainliest

Answer:

$143.88

Step-by-step explanation:

Look at image above...

I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.

Answer:

Step-by-step explanation:

If they are the same, the ratio of length to width when reduced to the lowest terms are

Large rectangle L/w = 36/24 = 3/2

Small triangle L/w = 24/18 = 4/3

Answer: The ratios are not the same. The rectangles are not similar.

Answer:

if you're talking 20 cents, then 4, if you're talking dollars, then 400.

tell me pls if you want an explanation.

Answer:

400 nickels

Step-by-step explanation:

How many nickels to make $20?

1 nickel = 5 cents ($0.05)

? nickels = $20

How many nickels make $1?

0.05x = 1

/0.05  /0.05

x = 20 <== 20 nickels make $1

How many nickels make $20?

20x = $20

20(20) = $20

400 = $20

This means that 400 nickels make $20

Hope this helps!

Answer: [tex]56.25\pi[/tex]

Step-by-step explanation:

The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.

Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]

The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]

Now sub in this value for the formula of the area of a circle

[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]

Answer:

56.25[tex]\pi[/tex]

Step-by-step explanation:

circumference=2[tex]\pi r[/tex]

15[tex]\pi[/tex]=2[tex]\pi r[/tex]

r=7.5

Area=[tex]\pi r^{2}[/tex]

       =[tex]\pi * 7.5^{2}[/tex]

       = 56.25[tex]\pi[/tex]

Answer:

10 cm

Step-by-step explanation:

The formula for finding the surface area of a cube is 6 x (side length)^2.

Since the surface area equals 600, you can divide the surface area by 6 (because a cube has 6 faces) so that becomes 100. The square root of 100 is 10, so the side length is equal 10 cm.

Answer:

x = -2

Step-by-step explanation:

2x-6 = 9x+8

-7x = 14

x = -2

PLEASE RATE!! I hope this helps!!

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]

The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For this case, it is specified that y varies directly as x.

That means

[tex]y \propto x\\or\\y = kx[/tex]

At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:

[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]

Thus, the relationship between x and y is: y = 54x

Now, when y = 1080, we get:

[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]

Thus, the value of x when y = 1080 for this condition is when x = 20.

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The surface area of a cuboid is the area of all the six faces of a cuboid. The Paint that is required to paint 3 boxes is 13 pints.

The surface area of a cuboid is the area of all the six faces of a cuboid. It is given by the formula,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

As it is given the dimensions of the storage box are a length of 8 feet, a width of 5 1/2 feet(5.5 feet), and a height of 4 1/2 feet(4.5 feet). Therefore, the surface area of the box can be written as,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

[tex]\rm \text{Surface area of the box}= 2[(8\times 5.5)+(5.5\times 4.5)+(8 \times 4.5)] = 209.5\ ft^2[/tex]

As it is given that the surface area that can be covered with a pint of paint is 50 square feet, therefore, the paint that will be required to paint 209 square feet is,

[tex]\text{Paint Required} = \dfrac{\text{Total area that is needed to be paint}}{\text{Area covered in a pint of paint}}[/tex]

[tex]\rm \text{Paint Required} = \dfrac{209.5}{50} = 4.19\ pints[/tex]

Now, we know that the surface area of the box is 209 square feet, while the paint required to paint a complete box is 4.19, therefore, the paint that will be required to paint 3 boxes will be,

[tex]\text{Paint required to paint 3 boxes} = 3 \times 4.19 = 12.57 \approx 13[/tex]

Hence, the Paint that is required to paint 3 boxes is 13 pints.

Learn more about Surface Area of Cuboid:

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Answer:

  $2,667.59

Step-by-step explanation:

The insurance premium is found by multiplying the payroll amount by the premium rate.

  ($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59

The monthly workers' compensation insurance premium is $2,667.59.

_____

Additional comment

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Answer:

The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.

Step-by-step explanation: