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

3(n + 7) i need this in step by step pls help me

Answers

Answer: 3n+21

Step-by-step explanation: it’s the distributive property so you multiply the number outside the parentheses times the numbers or number inside the parentheses

Answer:

3n+21

IF the question required =0 then move the 21 to the other side

and divide both sides by 3 and x would equal to -7

Step-by-step explanation:

3(n+7)

use the distributive property, so multiply 3 with n and 7

3n+21

simplify (4m+5n)^2+(5n+4n)^2​

Answers

Answer:

16m^2+40mn+106n^2

What is an equation of the line that passes through the points (-3,-1) and (6, 2)?
Put your answer in fully reduced form.

Answers

Answer:

1/3

Step-by-step explanation:

(2-(-1))/(6-(-3)) = 3/9 = 1/3

Answer:

y=1/3x

Step-by-step explanation:

Find the slope:  2-(-1)

                          6-(-3)

slope = 1/3

Point Slope Form: y-2= 1/3 (x-6)  plug one of the coordinates into the equation

                              y-2= 1/3x -2

                                  y=1/3x

use the distributive property to find two expressions that are equivalent to 7(3x - 4)

please help me i cant do this anymore, i'm having a panic attack and this is all due in 4 hours

Answers

I could only figure out one... sorry! Good luck

The answer is: 21x-28

Factoring.

The answer is supposed to look like this.

EXAMPLE:

5x(6x+2)(6x-2)

Answers

Step-by-step explanation:

2y×(5-4y)×(5+4y) here you go now please help me if you can

which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for
the equation 3x-5--2x+10?
x = 5
-5=x
-15 = -5x
-5x = 15

Answers

X-5+10
X+5


Hope this helps:)

I need help i don't understand ​

Answers

Answer:

50%

Step-by-step explanation:

50% aaaaaa.................

Factorise. 9xy +6y plz help

Answers

3y(3x+2)

9xy+6y

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

3y(3x + 2)

Step-by-step explanation:

Given

9xy + 6y ← factor out 3y from each term

= 3y(3x + 2) ← in factored form

(9x + 7) + (x + 3)

I really don't know.​

Answers

Answer:

10x + 10

Step-by-step explanation:

Thank me later

(9x + 7)
(16x) + (x + 3)
(4)
16x + 4
20x
I think 20x is the answer but I’m probably wrong

2x+2y=18
x=3-y
you have to use the substitution method I know its easy but I struggle with math can someone please help me!!! TY

Answers

Answer:

The equation has no solution

if you click the image it will show you why the equation has no solution. I really hope this helps you.

PLEEASE HELP ME I WILL DO ANYTHING PLEASE HELP ME

Answers

Answer:

B

Step-by-step explanation:

I hope this helps :)

Answer:

Its B

Step-by-step explanation:

Tell me if I am wrong

Hope this helps

3(-4b+1) = 15
pls help asap

Answers

Answer:

b = -1

Step-by-step explanation:

3(-4b+1) = 15

multiply: -12b + 3 = 15

subtract 3 from 15: -12b = 12

divide: b = -1

Evaluate each function. Drag the correct solution to each problem. Not all responses will be used.

Answers

Answer:

a) 1

b) 2

c) -1

Step-by-step explanation:

An athlete eats 55 grams of protein per day while training. How much is this in milligrams?

Answers

Answer:

55,000 milligrams

Step-by-step explanation:

........

Answer:

55,000 milligrams (mg) is equal to 55 grams (g)

Step-by-step explanation:

(55 g/1 )* (1000 mg/1 g)

Multiply the top to get 55,000 and the bottom to get 1.

55,000/1

The gram units cancel out, leaving you with milligrams.

55,000 mg

What does it mean for a point to be a solution to a linear equation?

For example, if I say, "(2,5) is a solution to the equation (y=2x+3)," how could you check my claim?

Answers

Answer:

In your equation y=2x+3 and you used 2 [from your point (2,5) ] as the value of x, then y=2(2)+3=7.

now if you plotted this, that point would be (2,7), not (2,5).

So (2,5) is not the solution.

(2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].

Let be linear equation [tex]y = 2\cdot x + 3[/tex], if we know that [tex](x,y) = (2, 5)[/tex] and we need to check is [tex]2\cdot x + 3 = 5[/tex] by algebraic means, that is, we solve for [tex]x[/tex]:

[tex]2\cdot x + 3 = 5[/tex]

[tex]2\cdot x = 2[/tex]

[tex]x = 1[/tex]

Hence, we conclude that (2, 5) is not a solution of the linear equation [tex]y = 2\cdot x + 3[/tex].

We kindly invite to check this question on linear functions: https://brainly.com/question/17088086

Find the amount to tip on a $67.99 dinner, when you tip 20%. Round to the nearest cent.

Answers

Answer:

$13.60 for tip

$81.59 for total meal cost

Step-by-step explanation:

Meal = $67.99

tip is 20% so 0.20

67.99*0.20=13.60 tip

what is the sum of (2x-5y) and (x+y)?

Answers

Answer:

= 3x -4y

Step-by-step explanation:

Which point on the coordinate plane is a reflection of point A across the y-axis

Answers

Point ‘N’ would be a reflection across the Y-Axis

Help pls!!
You can check more than one box but number them so Ik please and ty !

Answers

Answer:

Step-by-step explanation:

Answer:1:2

2:3

3;1

4;3

5;2

6:1

7:3

8;1

Step-by-step explanation:Like if correct

Expression equivalent to (3d^4)^2

Answers

Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression

Write in Slope Intercept form

Answers

Answer:

its the first choice

Step-by-step explanation:

Answer:

y=  -3/5x +5

Step-by-step explanation:

Step one - find where the line is intercepting. In your case this is at positive 1.

Next step is to check the change of the slope - directio.  The line goes up to the positive Y access  and to the left of the negative X access.

That leads to a negative slope.

Respectavley the only posible  answer on this question is  

y=  -3/5x +5

Good luck.

FB: sharp4math

I will give brainliest!!

Find the area for the given circle. Round to the nearest tenth.

113.0 ft^2
124.8 ft^2
37.7 ft^2
452.2 ft^2

Answers

Answer:

The answer is 113.0 ft^2

Step-by-step explanation:

To find the area you do pi times the radius squared, so that would be pi times 36. which equals 113.0 ft^2.

The area of a given circle is 113.0 square feet. Therefore, option A is the correct answer.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the diameter of circle is 12 feet.

Here, radius = 12/2

= 6 feet

Now, area of a circle = 3.14×6²

= 3.14×36

= 113.0 square feet

Therefore, option A is the correct answer.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ2

how do u find the output of y²=(9)​

Answers

y² -9=0
a=1, b=0, c=-9
0² -4*1*(-9)
y=36

How much of a circle does a 100-degree angle turn through?
1
100
180
50
c
360
100
360

Answers

Your answer would we 100/360
360° turn

PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS!!

Answers

20.) GH = FE

21.) <JGH = <FEK

Hope it helps ⭐⭐⭐

There is 2/3 of a cake left that 3 friends would like to share. How much cake would each friend get?

Answers

Each friend would get 2/9 of the cake left over.

Is (6, 8) a solution to y = 8/3x - 8?

Answers

Answer:

Yes it is a solution

Step-by-step explanation:

[tex] \frac{8}{3} \times 6 - 8 = \\ 16 - 8 = 8[/tex]

Answer:

Is (6, 8) a solution to y = 8/3x - 8?

Step-by-step explanation:

HELP PLEASE. What is true about the domain and range of the function?
O The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 sXs
1.
O The domain is all real numbers such that -3 sxs1,
and the range is all real numbers less than or equal to
4.
O The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
O The domain is all real numbers less than or equal to
4, and the range is all real numbers.

Answers

Answer:

Step-by-step explanation:

This equation is y=4-(x+1)^2, there is no restriction upon x and y has a max value of four and approaches negative infinity as x moves away from -1 in either direction. So the domain is all real numbers and the range is all real numbers less than or equal to four.

The domain and range of the quadratic function are:

Domain: Set of all real numbers.Range: y ≤ 4.

How to get the domain and range?

For a function y = f(x), we define the domain as the set of the possible inputs x, and the range is the set of the possible values y.

On the graph, we can see a quadratic function.

For the domain, we usually start assuming that the domain is the set of all real numbers, and then we remove problematic points. Where a problematic point can be a zero on a denominator or something like that.

In the case of a quadratic, there are no problematic points, then the domain is the set of all real numbers.

For the range, we can see that the function has a maximum at y = 4, and then it goes down, so the range is just:

R: y ≤ 4.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333

Choose the most appropriate name for the function described below.
Your probability of winning the lottery depends on how many tickets you buy.
A. Tickets(probability), or (p)
B. Lottery(tickets), or L(t)
C. Probability(tickets), or P(t)
D. Probability(lottery), or P(I) NEED HELPP

Answers

Answer: C

Step-by-step explanation:

Each statement describes a transformation of the graph of Rx) = x. Which statement correctly describes the graph of g(x) if g(x) = RX) - 3?
OA. It is the graph of fx) translated 3 units to the left.
OB. It is the graph of f(x) translated 3 units down.
OC.
It is the graph of fx) translated 3 units up.
OD. It is the graph of f(x) where the slope is decreased by 3.

Answers

Answer:

It is the graph of f(x) translated 3 units down.

Step-by-step explanation:

The graph of r(x) = x was translated 3 units down to form g(x) = r(x) - 3.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, left, right or down.

The graph of r(x) = x was translated 3 units down to form g(x) = r(x) - 3.

Find out more on transformation at: https://brainly.com/question/1548871

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