Mathematics High School

In the diagram, the radius of the outer circle is 2x em and the radius of the inside circle is 6 cm. The area of the shaded region is 220 cm? What is the value of x2​

In The Diagram, The Radius Of The Outer Circle Is 2x Em And The Radius Of The Inside Circle Is 6 Cm.

Answers

Answer 1

Answer:

Answer: 8 (second choice)

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, the area is calculated by the formula:

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

There are two circles in the diagram. The outer circle has a radius of r1=2x, thus its area is:

[tex]A_1=\pi\ (2x)^2[/tex]

The interior circle has a radius of r2=6 cm, thus its area is:

[tex]A_2=\pi\ 6^2=36\pi[/tex]

The shaded area is obtained by subtracting A1-A2:

[tex]A=\pi\ (2x)^2-36\pi[/tex]

The value of the shaded area is given as 220π cm2. Equating:

[tex]\pi\ (2x)^2-36\pi=220\pi[/tex]

Dividing by π:

[tex](2x)^2-36=220[/tex]

Adding 36:

[tex](2x)^2=220+36=256[/tex]

Taking square root:

[tex]2x=\sqrt{256}=16[/tex]

Dividing by 2:

x = 8 cm

Answer: 8 (second choice)

Related Questions

A ratio of 2 to 10 means​

Answers

Answer:

1:5

Step-by-step explanation:

If you simplify ( I think that's what you mean by "means")

10 is divisible by 2

2=1

10=5

1:5

triangle congruence what is the answer​

Answers

Answer:

true (SSS)

Step-by-step explanation:

If two triangles have the same shape and lenghts, then they are congruent. In this instance they are congruent because of three sides. Meaning SSS congruence

I need help with geometry

Answers

Answer:

360

Step-by-step explanation:

Please mark me brainliest, 5 stars, and a thanks! Have a great day!

find the area cirlcle if the circle has a radius of 11 centimeters.

Answers

Answer:

380.133

Step-by-step explanation:

A = πr²

Hope this helps!

Pls 5 stars <3

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

25 and 29

The geometric mean is .

Answers

Answer:

Geometric mean is 26.92582

95 is 5% of what number

Answers

1,900 I think, I hope this helps

Answer:

1900 that's what was right for me.

Step-by-step explanation:

Please help me confirm my answer, I got C

Answers

C should be correct

Answer:

The correct answer is C

Step-by-step explanation:

a - 2 + 3 = -2
Please answer with solving steps!

Answers

Answer: a=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−2+3=−2

a+−2+3=−2

(a)+(−2+3)=−2(Combine Like Terms)

a+1=−2

a+1=−2

Step 2: Subtract 1 from both sides.

a+1−1=−2−1

a=−3

Answer:

a=-1

Step-by-step explanation:

move -2 and 3 to the right side to have the variable by itself and then just add them together.

a = -2+3-2

a= -4+3

a= -1

How many terms are in the expression 2a - c + 7d+ 15

Answers

Answer:

8c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I just want to tell you what a term is because your going to really need it when you go into middle school. So a term is where there is a number or a a number with a variable with it or a variable by itself. For example if there is 4x + 6m + 3 + X you would have 4 terms because you have 4 numbers along with variables and a variable by itself and with some numbers which are Co -Efficient. Co-Efficient is when a number is with a variable the number along with the variable is called a Co-Efficient. Both of them together is called a term so now you know :) The whole equation is called an expression if a a number is by itself like 4 + 3m the 4 would be considered as a constant because its just a normal number standing by itself.

Which relationship between x and y in the equation shows a proportional relationship?
y= 4x + 2
y = x - 2
y = 8x
y = 1 + 2

Answers

Answer:

y = 8x

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportion

The only equation in this form is

y = 8x

You got an answer so I hope u from mind.

what is this

917 mL = _____ L

Answers

Answer:

0.917

Step-by-step explanation:

1ml=0.001L

Answer:

0.917 L

Step-by-step explanation:

Keep in mind that 1 L = 1000ml

since the number in ml does not go past 1000 it means that there is not even 1 liter. So your answer will be a decimal.

917 mL = 0.917 L

simplify the following expression by combining like terms. select the most simplified expression; 2 W + 5 W - 6 + 4w ​

Answers

Answer:

7 W + 4w - 6

Step-by-step explanation:

(2+5) W-6+4w
Add 2 and 5 then you get 7W-6+4w
Your answer is 7W-6+4w

Which one is it ? (You cannot click it ) (22 points)!

Answers

Answer:

the answer is 0.01 your welcome

what is
a) 39.637, 44.3421, 34.1546,
44.351, 34.248 in increasing order​

Answers

Answer:

34.1546, 34.248, 39.637, 44.3421, 44.351

Step-by-step explanation:

how would you describe the two lines ? 4y=-5x+12 y=4/5x-8 A) parallel
B)perpendicular
C)Same Line
D)Different lines but not perpendicular or parallel

Answers

B) perpendicular
Because the slopes are opposites, they are flipped and have the opposite signs

The sum of b and 3



Please this really important ​

Answers

Answer:

The answer to the question is b+3 (if you need an equation)

Is the answer to -8/-8 positive or negative?

Answers

Answer: positive

Step-by-step explanation:

A negative divided by another negative is always positive. Same rule applies to multiplication. Double negatives equal positives

Slope of -7 and y -intercept of 1

Answers

The graph of y = 1 is a horizontal line at the value y = 1. The slope of a horizontal line is m = 0.

If 2 pounds of grapes cost 6 dollars. How many ponds does 1 dollar get?

Answers

Answer:

I have no idea I think 3 sorry of wrong

48 > –бх
I just says solve

Answers

Answer:

x > - 8

Step-by-step explanation:

Given

48 > - 6x

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

- 8 < x , thus

x > - 8

Answer:

x >-8

48>−6x

Step 1: Flip the equation.

−6x<48

Step 2: Divide both sides by -6.

[tex]\frac{-6x}{-6}[/tex]< [tex]\frac{48}{-6}[/tex]

x>−8

What kind of sequence is this? –164, –149, –134, –119

Answers

Answer:

Least to greatest?????

Marco is interested in the number of penguins who live on a particular ice floe. He decides to take an aerial photo of
the floe and create a 20 by 20 grid on the photo. He randomly selects 3 cells and counts the number of penguins in
each. He then finds the mean number of penguins for those 3 cells. Marco repeats this process for a total of 50
samples and makes a dotplot of the 50 means. This graph is an approximation of
O stratified random sampling.
the distribution of sample data.
the distribution of the population.
the sampling distribution of means.
the sampling distribution of proportions,
M

Answers

Answer: D

Step-by-step explanation: In this experiment, the researcher, Marco first collectd the data values, then computes the sample means and finally obtains the sampling distribution of sample means.

Is this a function? Explain your answer in the space below.


Answers

Answer:

Yes, this is a function because all the x values are different.

Step-by-step explanation:

Can someone help me with this please?

Answers

Answer:

c

Step-by-step explanation:

proportionality of 4 on all

the answer is 4..ignore the dots it won’t let me post without “20 characters”

How to find the area of a parallelogram with 3 numbers?

Answers

the area of a parallelogram is the base x the hight

14.8 square feet is the area of the given parallelogram.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The area of a parallelogram is given by the formula:

Area = base x height

where the base is the distance between two parallel sides of the parallelogram.

In this case, the height is given as 2 feet, but we need to find the base.

Since the parallelogram has two pairs of parallel sides, we can use the width of 7.4 feet as the base.

Therefore, the area of the parallelogram can be calculated as:

Area = base x height = 7.4 ft x 2 ft = 14.8 square feet

So, the area of the parallelogram is 14.8 square feet.

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ2

Complete question:

Use the quadratic formula to solve 2x2 + 2x - 12?

Answers

Answer:

2,-3

Step-by-step explanation:

i did the math lol- trust me

Answer:

yellow: 2 & -3

Step-by-step explanation:

can someone please help ​

Answers

Answer:

x=3, y= - 2

Step-by-step explanation:

4x + 3y = 6

x-3y= 9

x=9+3y

4.(9+3y)+3y=6

36+12y+3y=6

15y = - 30

y = - 2

=> x= 9+3y

x= 9+ 3.(- 2)

x= 3

x-3y=9
x=3y+9
4(3y+9)-3y=9
12y-3y+36=9
9y=-27
y=-3
x-3(-3)=9
x+9=9
x=0
(0,-3)

help please
solve for x​

Answers

Answer: x= 47 (If that says 3x+2)(the picture is a little blurry)

Step-by-step explanation:

Linear pairs of angles sum to 180.

37+(3x+2) =180

Combine like terms

39+ 3x = 180

Subtract 39 from both sides

3x = 141

Divide both sides by 3

x= 47

On a hot day, a soccer team drank an
entire 50 gallon cooler of water, and then
drank half as much again.
How much water did they drink?

I’ll give u brainliest if u show how you got the answer :D

Answers

Answer:

75 gallons

Step-by-step explanation:

50+(50/2)=

50+25= 75

(1/2 of 50 is 25)

Answer:

75 gallons

Step-by-step explanation:

Soooooo

they drank 50 gallons and then they drank half as much as they just drank

50/2 =25     -to get half of what they just drank

50 + 25 =75    - the original 50 gallons + half of that.


14. Shawn usually sells umbrellas for $20. On rainy days, he sells them for
30% more. What is the cost on a rainy day of buying a new umbrella? *
$14
$26
O $6
O $30

Answers

Answer:

$26

Step-by-step explanation:

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