In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160

Answers

Answer 1

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.


Related Questions

Which of the binomials below is a factor of this trinomial?
x² + 5x-36

Answers

Answer:

A. x + 9

Step-by-step explanation:

x² + 5x - 36 = (x + 9) (x - 4)

What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)

Answers

Answer:

52% of the shape is green

Step-by-step explanation:

13 out of 25 blocks are shaded green = 13/25

13/25 = 52%


What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

The slope of the required line is 1

Step-by-step explanation:

The Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:

[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]

The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:

m*m'=-1

Solving for m':

[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]

Thus the slope of the required line is 1

I GIVEEE BRAINLILSTTT

Answers

Answer:

edfsefesfwefwefwf

Step-by-step explanation:

fwefewfweefwefwefwefewfwefwefwefwef

if im a bot, then, what are you?-

Answers

A hallucination;))))))

What do you do to convert 0.02083 to 75 mph?

Answers

Answer: 120.7008 Kilometers per Hour

Someone please help and choose correct answer

Answers

Answer:

The equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

Step-by-step explanation:

We need to write equation of line that passes through point (2,-1) and has a slope of -3

The equation is written in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We are given slope: m = -3

We need to find y-intercept (b)

Using the point (2,-1) and slope m=-3, we can find y-intercept

[tex]y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5[/tex]

So, we get y-intercept b = 5

Now, the required equation having slope m =-3 and y-intercept b = 5 will be:

[tex]y=mx+b\\y=-3x+5[/tex]

So, the equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]

Option A is correct.

Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).

a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).

Answers

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + αt + αt ²

q(t) = β₀ + βt + βt ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + αt + αt ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + αt ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + βt ³)

… = c₀ + ct + ct ² + ct ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

I GIVEEEE BRAINLILST

Answers

Answer:

its a scale factor of 4

Step-by-step explanation:

Consider the inequality x + 7 < 9. Select all the true statements.​

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9  equation

step 2

x + 7 < 9  subtract -7

x+7(-7)<9(-7)

answer

x<2

Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?

Answers

Answer:

372/12=31

31mpg

Step-by-step explanation:

Alex's car drove 31 milesnper gallon of gasoline

(10 points, Giving brainliest to correct answer) Need in a couple hours

Congruence

Answers

Answer:

SSA (or AS*)

Step-by-step explanation:

SSA cannot booe used

just remember that

Round 8,723 to the nearest thousand

Answers

Answer:

9,000

Step-by-step explanation:

What is the solution to −6x−4≥−2(x−4) ?

x≤−3

x≥3

x≥2

x≤−1

Answers

Answer:

The correct answer is: Option 1: x≤-3

Step-by-step explanation:

Given inequality is:

[tex]-6x-4\geq -2(x-4)[/tex]

First of all, we will distribute -2 into the bracket

[tex]-6x-4\geq -2x+8[/tex]

Then we will add 4 on both sides

[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]

Adding 2x on both sides

[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]

Dividing both sides by 4

[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]

As there should be only x on the left side of the inequality we will multiply the inequality with -1.

Multiplying the inequality with -1 reverses the sign of inequality

So,

[tex]x \leq -3[/tex]

Hence,

The correct answer is: Option 1: x≤-3

A company that makes hair care products have 6000 people China Chef poop of the 6000 people 48 had a mild allergic reaction..what is the percent of the people that had an allergic reaction

Answers

Answer:

5952

Step-by-step explanation:

6000

what is the graph in slope intercept form

Answers

Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.

Step-by-step explanation:

Answer:

Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.

Step-by-step explanation:

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.

3/20

Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply  the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.

3/20 = 0.15 x 100 = 15%

how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??

Answers

Answer:

[tex]y = -2[/tex]

Step-by-step explanation:

Given

Horizontal Line

[tex](x_1,y_1) = (4,-2)[/tex]

Required

Determine the equation

The equation is calculated using:

[tex]y - y_1 =m(x-x_1)[/tex]

Where

[tex]m = slope[/tex]

Because the line is a horizontal line, then:

[tex]m = 0[/tex]

Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]

[tex]y - (-2) = 0(x -4)[/tex]

[tex]y +2 = 0(x -4)[/tex]

[tex]y +2 = 0[/tex]

Subtract 2 from both sides

[tex]y +2-2 = 0-2[/tex]

[tex]y = -2[/tex]

Hence, the equation is: [tex]y = -2[/tex]

Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!

Answers

Answer:

Number cube, 5, and 3/16

Find the slope intercept equation of the line

Answers

Answer:

y=1/5x+0

Step-by-step explanation:

can someone explain because im confused

Answers

Answer:

I'm pretty sure it is yes

Step-by-step explanation:

7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.

What fraction of an hour is 51 minutes?
Give your answer in its simplest form.

Answers

Answer:

0.850

Step-by-step explanation:

fraction = given time / total time in 1 hour

=51/60

The answer is: 0.850

A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?

Answers

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11(4-1)

Step-by-step explanation:

11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms

44/11=4

11/11=4

Therefore the answer is 11(4-1)

PLS ANSWER THIS ASAP THANK YOU AND I WILL GIVE YOU THANKS

Answers

Should be D. 2x65=130-20=110

Given:
g(x) = 5 – 6x
Find:
g(5)

Answers

let's start by substituting 5 for x
g(5) = 5 - 6(5)
g(5) = 5 - 30
g(5) = -25

Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.

Answers

Congruent
An angle
Sides
Proportional
Similar

Please help, I have no clue how to answer this.

Answers

Answer:

74-2c

Step-by-step explanation:

you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.

Hypotheses are______.

Answers

What are the choices?

hypothesis is a guess that you test run.

PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS

Answers

Answer:

C: Two solutions

Step-by-step explanation:

If you try to solve the problame you can find to solution's

Hope this Help's

Answer:

lol too bad laurenercsp6fpli

Step-by-step explanation:

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