Find the area of each shaded region. give your answer as a completely simplified exact value in terms of pi. (no approximates)

Find The Area Of Each Shaded Region. Give Your Answer As A Completely Simplified Exact Value In Terms

Answers

Answer 1

Answer:

52[tex]\pi[/tex]

Step-by-step explanation:

We see that the radius of the big circle is 8m, and we see that the it is also the diameter of the second smallest circle. We also see that this diameter is split into two equal parts, and since the entire length is 8, each part will be 4. So what we need to do is find the area of each circle.

First we can start by finding the area of the smallest circle. The radius of this circle will be 4/2, 2. So the area of this circle will be [tex]\pi[/tex][tex]r^{2}[/tex], and in this case 4[tex]\pi[/tex].

Then we need to find the area of the bigger shaded portion, which will be the area of the big circle, minus the area of the smaller white circle.

First, lets find the are of the big circle, which again, will be [tex]\pi[/tex][tex]r^{2}[/tex]. This time, we plug in a radius of 8, and we get 64[tex]\pi[/tex].

Next we find the area of the smaller white circle, again [tex]\pi[/tex][tex]r^{2}[/tex]. We use a radius of 4 this time, giving us an area of 16[tex]\pi[/tex].

Now we subtract the two values we found previously to find the area of the just the bigger shaded portion. That value will be 64[tex]\pi[/tex]-16[tex]\pi[/tex], which is 48[tex]\pi[/tex]

We then take 48[tex]\pi[/tex], and we add the small shaded portion, which had an area of 4[tex]\pi[/tex], and we add them, giving us a total of 52[tex]\pi[/tex].

Hope this helped.


Related Questions

What is RS? Please help will give Brainlyest.

Answers

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

Therefore:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}[/tex]

3x + 5 = 4x - 11        {subtract 5 from both sides)

3x = 4x - 16             {subtract 4x from both sides)

-x = -16                   {divide both sides by (-1)}

x=16

So:

RS = 2x + 15 = 2×16 + 15 = 32 + 15 = 47

Which paint costs the most per quart? TWO pints = ONE quart FOUR quarts = ONE gallon

Glide Paint: 1 gallon for $28.92
Smooth Paint: 3 quarts for $22.75
One-Coat Paint: 4 pints for $15.00 7.5 is the answer to this one when it's 1 quart

these are the choices
1. One-Coat Paint
2. Smooth Paint
3. Glide Paint

Answers

Answer:

2. Smooth paint

Step-by-step explanation:

Im pretty sure that's the answer, good luck!

Answer:

B. Smooth paint

Step-by-step explanation:

Glide Paint is $3.61 per pint

Smooth Paint is $3.79 per pint

One Coat is $0.26 per pint

Please help brainiest will be award !!

Answers

Answer:

served a greater variety of ages and then range

hope it helped!

Step-by-step explanation:

Three of the angles of a
quadrilateral measure 36', 72, and
144. Which one of the following could
be the measure of the fourth angle
of the quadrilateral?

Answers

Answer:

Angles of a quadrilateral add up to 360

so x+36+72+144=360

x+252=360

x=360-252

x=108

So B is the correct answer

Step-by-step explanation:

Simplify the expression-1/2 (-5/6 +1/3)

Answers

Answer:

The first option 5/12 - 1/6

Step-by-step explanation:

5/12 - 1/6

Just open the parenthesis and be careful of the signs.

.
What is the value of x in the solution to this system of equations?

y = 2x – 6

y = -4x + 6

Answers

Answer:

2

Step-by-step explanation:

yay thats the first question i answered

Identify the like terms.
7 + 4p - 5 + p + 2y

Answers

Answer:

5p+2y+2

Step-by-step explanation:

Answer:

5p+2y+2

Step-by-step explanation:

Q= 7+4p-5p+2y

first collect like terms

4p-p+2y+7-5

=5p+2y+2

If is helpful ❤❤

THANK YOU

A system of linear equations is given by the graph. Okie what is the system shown?

A.
Y = 2/3x
Y = -2/4x - 5

B.
Y = -2/3x
Y = 3/4x - 5

C.
Y = 3/4x
Y = -2/3x - 5

D.
Y = -3/4x
Y = 2/3x - 5

Answers

Answer:

I think the answer is A.

Step-by-step explanation:

all of the other ones dont seem to line up with the graph.

Answer:

its B, (your A answer is entered wrong)

Step-by-step explanation:

You go to a steakhouse for dinner and the meal cost $10.35. If you have a coupon for 10% off your meal, what is the bill for dinner? *
NEED ANSWERS PLEASE AND THANK YOU!!!!

Answers

Answer: $9.32

Step-by-step explanation:

10.35 - 1.035 = 9.32

Use substitution to solve each system of equations. Please explain how to solve these types of problems!!! Tysm

y = x + 5
3x + y = 25

Answers

Answer:

I can help!

In point form: (5,10)

In equation form: x=5 y=10

Explanation

Solve for the first variable in one of the equations (y=x+5), then substitute the result in the other equation.

Need answer fast please

Answers

Answer:

c. -8

Step-by-step explanation:

The answer is C. -8
:)

simplify each expression.

1. 3x + 2(5x - 7)
2. 9 - 3(2x - 4)
3. 8x - 6(3 - 2x)
4. -5 + 5(x + 4)
5. 4 (6n + 9) - 10n
6. 14 - 3(4n - 1)
7. -8n + 8(4 + 2n)
8. 7k - 2(3k + 1) - 9
9. k + 1 - 4(2k - 9)
10. -6 + 5(8 - k) - 8k
11. -10k - 3 + 2(5 + 6k)
12. 8 + 9x + 4(11 - 2x)
13. -4(2x - 7) + 6x - 7
14. 9 + 3(4 - 3x) + 12x
15. 5(2y - 4) + 2(y + 9)
16. -4(3u - 1) +7(3 - 2u)
17. 6(-5u + 1) - 3(4u - 12)
18. -3(u + 5) + 8(2u + 1)

Answers

Answer:

1. 13x - 14

2. 21 - 6x

3. 20x - 18

4. 15 + 5x

5. 14n + 36

6.  9 - 12n

7. 8n + 32

8. k - 11

9. -7k +37

10. 36 - 13k

11. 2k + 7

12. 52 + x

13. -2x -21

14. 21 + 3x

15. 12v - 2

Step-by-step explanation:

Answer:

Below ↓

Step-by-step explanation:

[tex]1)\:\sf 3x + 2(5x - 7)[/tex]

[tex]\sf 3x+10x-14[/tex]

[tex]\sf 13x-14[/tex]

____________

[tex]\sf 2)\: 9 - 3(2x - 4)[/tex]

[tex]\sf 9-6x+12[/tex]

[tex]\sf -6x+21[/tex]

____________

[tex]\sf 3)\: 8x - 6(3 - 2x)[/tex]

[tex]\sf 8x-18+12x[/tex]

[tex]\sf 20x-18[/tex]

____________

[tex]\sf 4)\: -5 + 5(x + 4)[/tex]

[tex]\sf -5+5x+20[/tex]

[tex]\sf 5x+15[/tex]

____________

[tex]\sf 5) \:4 (6n + 9) - 10n[/tex]

[tex]\sf 24n+36-10n[/tex]

[tex]\sf 14n+36[/tex]

____________

[tex]\sf 6)\:14 - 3(4n - 1)[/tex]

[tex]\sf 14-12n+3[/tex]

[tex]\sf -12n+17[/tex]

______________

[tex]\sf 7) \: -8n + 8(4 + 2n)[/tex]

[tex]\sf -8n+32+16n[/tex]

[tex]\sf 8n+32[/tex]

______________

[tex]\sf 8)\:7k - 2(3k + 1) - 9[/tex]

[tex]\sf 7k-6k-2-9[/tex]

[tex]\sf k-11[/tex]

______________

[tex]\sf 9)\: k + 1 - 4(2k - 9)[/tex]

[tex]\sf k+1-8k+36[/tex]

[tex]\sf -7k+37[/tex]

_______________

[tex]\sf 10)\:-6 + 5(8 - k) - 8k[/tex]

[tex]\sf -6+40-5k-8k[/tex]

[tex]\sf 34-13k[/tex]

__________________

[tex]\sf 11)\: -10k - 3 + 2(5 + 6k)[/tex]

[tex]\sf -10k-3+10+12k[/tex]

[tex]\sf 2k+7[/tex]

__________________

[tex]\sf 12)\: 8 + 9x + 4(11 - 2x)[/tex]

[tex]\sf 8+9x+44-8x[/tex]

[tex]\sf x+52[/tex]

_________________

[tex]\sf 13)\: -4(2x - 7) + 6x - 7[/tex]

[tex]\sf -8x+28+6x-7[/tex]

[tex]\sf -2x+21[/tex]

_________________

[tex]\sf 14)\: 9 + 3(4 - 3x) + 12x[/tex]

[tex]\sf 9+12-9x+12x[/tex]

[tex]\sf 3x+21[/tex]

_________________

[tex]\sf 15)\: 5(2y - 4) + 2(y + 9)[/tex]

[tex]\sf 10y-20+2\left(y+9\right)[/tex]

[tex]\sf 10y-20+2y+18[/tex]

[tex]\sf 12y-2[/tex]

____________________

[tex]\sf 16)\: -4(3u - 1) +7(3 - 2u)[/tex]

[tex]\sf -12u+4+7\left(3-2u\right)[/tex]

[tex]\sf -12u+4+21-14u[/tex]

[tex]\sf -26u+25[/tex]

___________________

[tex]\sf 17)\: 6(-5u + 1) - 3(4u - 12)[/tex]

[tex]\sf -30u+6-3\left(4u-12\right)[/tex]

[tex]\sf -30u+6-12u+36[/tex]

[tex]\sf -42u+42[/tex]

___________________

[tex]\sf 18)\: -3(u + 5) + 8(2u + 1)[/tex]

[tex]\sf -3u-15+8\left(2u+1\right)[/tex]

[tex]\sf -3u-15+16u+8[/tex]

[tex]\sf 13u-7[/tex]

______________________________________________

Help me please pretty please!!

Answers

I’m pretty sure it is C

Abdul can type 23 words per minute.
1.if he has 45 minutes before his next class, how many words will he be able to type in that much time?
2. How long will it take him to type a 500-word essay for his English teacher?

Answers

Answer:

1. 1035 words

2. 21.74 min

Step-by-step explanation:

1. 23 words per min × 45min = 1035 words

2. 500 words/ 23 words per min= 21.74 min

Mrs. Palma took her coworkers out to dinner yesterday and their subtotal was $72.39
If the sales tax is 5% and she plans to leave a 20% gratuity after the tax it is added, how much will Mrs. Palma spend total on dinner?

A) $82.54
B) $86.87
C) $90.48
D) $91.21

Answers

Answer:

C) $90.48

Step-by-step explanation:

72.39*.2=14.478

72.39*.05=3.6195

14.478+3.6195=18.0975

18.0975+72.39=90.4875

11) It's perimeter
a) The circumference of the wheel of a bus is 2.8 m. How many revolutions
does it make to cover 3.5 km?​

Answers

2.8 m = .0028 km
3.5/.0028 = 1259 revolutions

Which statement is true? A. All rhombuses have all sides equal. All quadrilaterals are rhombuses, so they have all sides equal. B. All quadrilaterals have four sides. All rhombuses are quadrilaterals, so they have four sides. C. All rhombuses have opposite sides parallel. All quadrilaterals are rhombuses, so they have opposite sides parallel D. Some quadrilaterals have four night angles. All rhombuses are quadrilaterals, so they have four right angles​

Answers

Answer:

A

Step-by-step explanation:

It should be A

Scenario #2
Mary Beth's checking account balance on her bank statement shows $184.32. However,
she wrote checks for $41.78 and $12,10 that have not cleared the bank yet. How much is
Mary Beth's outstanding check total?

Answers

Answer:

Step-by-step explanation:

Mar Beth will have

41.78+12.10=53.88 outstanding check

184.32-53.88=130.44 balance in the account

What is this expression in simplified form?

Answers

Answer: C.) 54\sqrt{2} or [tex]54\sqrt{2}[/tex]______________________________________Honey to fin the answer just simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.. (´= ▽ =`)______________________________________

Hope you have a good day, Loves!~ <3

Also please tell me if I'm wrong or not...

Also also if I'm right can I please have Brainliest?

I think it's A

cause I said so

on a school basketball team, 13 out of 16 students are in grade 8, write a proportion

Answers

Answer:

The proportion is 13 : 3  .

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Please help! I give brainliest!

You and your friend skate at the same rate. You complete 6 laps in 5 minutes. How long does your friend take to complete 18 laps?

Answers

Answer:

15 Minutes

Step-by-step explanation:

6 laps = 5 minutes

18 laps = _ minutes

6*3= 18

5*3=15

Answer:

15 min

Step-by-step explanation:

6 laps in 5 minutes

if your trying to find how many min it takes for laps you can do

6 + 6 + 6 = 18  or 6*3 = 18

add a 5 for every 6 you see

so 5 + 5 + 5 = 15  or 5*3= 15

it takes your friend 15 min to complete 18 laps

Hope this Helps!!!

15 less than 2 times a number is the same as 7 more than half of the number. what is the number?

Answers

Answer:

x = 14 and 2/3

Step-by-step explanation:

Make an equation where x is the number.

2x - 15 = 7 + 1/2x

Then, solve the equation.

multiply both sides by 2 to get rid of the fraction

4x - 30 = 14 + x

subtract x from both sides

3x - 30 = 14

add 30 to both sides

3x = 44

divide both sides by 3

x = 14 and 2/3

Subject : Maths
Level : High school
Topic : Surds
Points : 72

Answers

Answer:

a = 5

Step-by-step explanation:

Simplify:

√5(√8 + √18) =√5*8 + √5*18 =√40 + √90 =√4*10 + √9*10 =2√10 + 3√10 =(2 + 3)√10 =5√10

The value of a:

a√10 = 5√10a = 5

Helpppp plzzz
Thank you

Answers

Answer:

a) GCF = 8

Step-by-step explanation:

b)

Examine the system of equations.

2x − 4y = 6

x − 2y = 3

How many solutions does this system of equations have?

Answers

It has two solutions hint the two equations

Answer:

Infinite

Step-by-step explanation:

maf

30 POINTS PLZ HELP
Which graph represents the function g(x)=(3.5)^x−1?

Answers

Answer:

top left graph

Step-by-step explanation:

I plugged the equation into Desmos and got it

The answer is the top left.

A bag has 2 blue, 3 red, and 5 yellow tiles. Find the probability of picking a blue tile.

Answers

Given:

A bag has 2 blue, 3 red, and 5 yellow tiles.

To find:

The probability of picking a blue tile.

Solution:

We have,

Number of blue tiles = 2

Number of red tiles = 3

Number of yellow tiles = 5

Total number of tiles = [tex]2+3+5[/tex]

                                   = [tex]10[/tex]

Now, the probability of picking a blue tile is

[tex]P(\text{Blue})=\dfrac{\text{Number of blue tiles}}{\text{Total number of tiles}}[/tex]

[tex]P(\text{Blue})=\dfrac{2}{10}[/tex]

[tex]P(\text{Blue})=0.2[/tex]

Therefore, the probability of picking a blue tile is 0.2.

PLS HELP !!! I NEED HELP PLS ILL APPRECIATE IT SM!

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

ok so first you want to find a common factor. For instance, 3. So divide the numerator and denominator by 3. This will give you the fraction of [tex]\frac{3}{4}[/tex].

Divide the numerator and denominator by a common factor they have. In this case, the common factor is 3.

Faith earns $200 for 8 hours of work if she makes a constant our wage which table represents the relationship between the number of hours she works at her total earnings ​

Answers

Answer:

$25 per hour

Step-by-step explanation:

In order to find how much she makes per hour, you need to divide 200 by 8 which gets you 25. This resembles the amount she makes per hour.

she makes 25 dollars hourly

What is the measure of angle Y?

Answers

Answer:

Y=70

Step-by-step explanation:

For starters, all the interior angles inside a pentagon add up to 540. This number can be found for any polygon with the forumla (n-2)180. N stands for the number of sides and then you plug it into the equation. For instance, if we wanted to find it for a triangle, we would see that the triangle has three sides and plug it into the formula. (3-2)180 which equals 180. For the ptenagon we take the fact that it has five sides and add it into the equation. (5-2)180 which equals 540. So now that we know all the interior angles are supposed to add up to 540, we can find the value of Y. So let's start by finding what amount we already have.

T=110

A=150

D=120

O=90 (this is beacuse of the right angle square placed which equals 90 degrees)

All those angles add to 470 degrees. So to find the last angle, you would subtract our total of 470 from our interior angle total of 540.

540-470=70

Y=70.

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