Find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π

Answers

Answer 1

The area of the shaded regions is 4π + 4, which can be obtained by subtracting 2π - 4 from 3π. This is an exact value, with no further simplification required.

Step 1: Calculate the area of the entire circle.

A = πr^2

A = π(5)^2

A = 25π

Step 2: Calculate the area of the unshaded region.

A = πr^2

A = π(2)^2

A = 4π

Step 3: Subtract the area of the unshaded region from the area of the entire circle.

A = 25π - 4π

A = 21π

Step 4: Calculate the area of the shaded region.

A = 21π - (2π - 4)

A = 21π - 2π + 4

A = 19π + 4

A = 4π + 4

The area of the shaded regions can be found by subtracting the area of the unshaded region from the area of the entire circle. To find the area of the entire circle, we use the formula A = πr^2, where r is the radius of the circle. Plugging in r = 5, we get A = 25π. To find the area of the unshaded region, we use the same formula, but now with r = 2. This gives us A = 4π. Subtracting the area of the unshaded region from the area of the entire circle gives us A = 21π. We then subtract 2π - 4 from 21π to get the area of the shaded region, which is 4π + 4. This is an exact value, with no further simplification required.

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Related Questions

Plz help too hard answer plz answer 1 or 2 plz

1+1=?


the 37 digits of pi 3. 4 926 35 9793238 6 83 2 79 Fill the rest

Answers

Step-by-step explanation:

1 + 1 = 2

hope I helped! :))

PLEASE HELP ME FILL OUT NUMBER 2 I DID THE OTHER QUESTIONS FOR YOU TO USE

1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 foot per year.

a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.

Y=3/4x+3

b) What does the y-intercept represent in your equation

Stands for feet Y=3

c) Determine the height of the tree in 3 years.

Y=3/4×3+3=9/4+3=21/4=5.25 feet

2. Could the equation 3x - 4y = - 12 be used to represent the same information in question #1? Explain your reasoning

a) What does the 3 and the 4 in this equation tell us?

b) Using this equation can you tell me how tall the tree will be in 24 years?

c) Using the equation find the x-intercept. What does this mean in this problem?​

Answers

1)

a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.

b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.

c) In 3 years, the height of the trees will be 5.25 feet according to the equation.

2)

No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.

a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.

b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.

c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.

The equation you provided for the growth of the trees over time, Y=3/4x+3, is in slope-intercept form and can be used to represent the information provided in the problem.

a) The y-intercept in the equation, represented by the constant 3, stands for the initial height of the trees when they are planted (3 feet tall). The slope of the line, represented by the coefficient of x (3/4), represents the average rate of growth of the trees over time (3/4 foot per year).

b) In 3 years, the height of the trees can be found by substituting 3 for x in the equation and solving for y: Y=3/4*3+3=9/4+3=21/4=5.25 feet.

The equation 3x - 4y = - 12 cannot be used to represent the same information in question #1 because it is not in slope-intercept form. In order to be in slope-intercept form, the equation must have the form y = mx + b, where m represents the slope and b represents the y-intercept.
a) The 3 and 4 in the equation 3x - 4y = - 12 represent the coefficients of the x and y terms, respectively. They do not represent the initial height or the rate of growth of the trees.

b) It is not possible to determine the height of the trees in 24 years using the equation 3x - 4y = - 12 because it is not in the correct form.

c) The x-intercept of the equation 3x - 4y = - 12 can be found by setting y equal to 0 and solving for x: 0 = 3x - 4y, so x = - 4y/3. This means that the x-coordinate of the point where the line intersects the x-axis is - 4y/3. This has no meaning in the context of this problem, as the x-axis represents the number of years and the y-axis represents the height of the trees.

Which graph represents-3x - 4y ≤ 2?

Answers

Answer:

Es la b

Step-by-step explanation:

On a number line -1 2/3 (negative one and two-thirds) would be placed between what 2 integers? *

Answers

-2 and -1 is the answer

solve this please (quick)

Answers

Answer:

4x10^12, or the 4th one

Step-by-step explanation:

40 Which scatterplot does NOT suggest a linear relationship between x and y?
9
9
8
0
2
7
9
6
H
5
4
5
4
3
2
2
1
1
1 2 3 4 5 6
6
0
0
1 2 3 4 5 6 7 8 9
6
.
2
3
D
5
5
4
4
3
2
2
1
1
0
0
3 4 5 6 7 9
1 2 3 4 5 6 7 8 9
1 2

Answers

Answer:

D

Step-by-step explanation:

the last graph

Mrs. Smith went to the grocery store and bought the fruit below.

2.86 pounds of apples
4.5 pounds of oranges
3 pounds of grapes
2.33 pounds of bananas
How many total pounds of fruit did Mrs. Smith buy?
Answers:
12.69
12.66
13.69
126.9
(I will mark you brainliest)

Answers

The answer is 12.69, you just need to put all the groceries together!!

I'll give brainliest PLZZZ!
Solve the following problem using the elimination method:
-3x + 7y = 12
x - 2y = -3

Answers

Answer:

x= 3. y = 3

Step-by-step explanation:

-3x + 7y = 12. #1

x - 2y = -3. #2

Multiply Eqtn #2 by 3 and add the two together:

-3x + 7y = 12

3x - 6y = -9

or. y = 3

Plug this value into Eqtn #2 and you'll get

x = 3

A stained glass window at the town library is the shape of a regular octagon. Which of the following describes a regular octagon?

Answers

I saw on my phone and sent you the message and sent me the link for my messaged

You need to split it in half then multply then add

Answers

Answer:

100 ft^2

Step-by-step explanation:

The large upper rectangle has dimensions 12 ft by 23 ft, and thus has area 276 ft^2.  The small lower rectangle is 15 ft by (12 - 7) ft,  or 15 t by 5 ft, and thus has area 75 ft^2.  The total area is

75 ft^2 + 25 ft^2, or 100 ft^2.

Can someone please help me with this?

Answers

Answer:

Choice C

Step-by-step explanation:

Rational numbers are any number that can be written as a quotient or fraction.

A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number less than 2.
35 over 60
25 over 60
13 over 60
12 over 60

Answers

Experimental probablity will be - 12 over 30

Answer: D: 12/60 (12 over 60)

Step-by-step explanation:

Please help me with my work

Answers

Answer:

16p^12 q^4

Step-by-step explanation:

Open up the parenthesis and simplify.

2^4 is 16

p^3 times ^4 is p^12

q times ^4 is q^4

So your answer is 16p^12 q^4

Answer:

16p^12 q^4

Step-by-step explanation:

This is because the power 4 will multiple with all the variables inside

hence, p^3 will become p^12

and q^1 will become q^4

the power 4 will also change 2 into 2^4 which is 16

Question down below :)

Answers

Answer: 16 it right i hope or 6

Step-by-step explanation:

11c+ 8) (-9c - 1)
Help plssss

Answers

Answer:

Step-by-step explanation: (11c + 8) (-9c - 1)

Then expand

which would be 11c ( -9c - 1) + 8 ( -9c - 1)

-99c^2 -11c - 72c - 8

It becomes -99c^2 - 83c -8

I hope this was helpful

9. Simplify: of 2÷3 of (3÷4-1÷3)​

Answers

Answer:

5/18

Step-by-step explanation:

Following order of operations rules, we must do the work inside the parentheses first, and inside the parentheses we must divide as indicated before doing the subtraction.

(2/3)( [3/4] - [1/3] )

3/4 and 1/3 have different denominators so must be rewritten using the LCD (12):

(2/3)(9/12 - 4/12)  =  (2/3)(5/12)  =  10/36  =  5/18

-1=1/3v
show work
∨=









Answers

Answer:

v = 1/-3

Step-by-step explanation:

cross multiply

-3v = 1

then:

divide through by the coefficient of v which is -3

-3v/-3 = 1/-3

[tex]-1=\dfrac{1}{3} v[/tex]

Flip:

[tex]\dfrac{1}{3} v=-1[/tex]

Multiply both sides by 3:

[tex]3\times(\dfrac{1}{3} v)=3\times(-1)[/tex]

[tex]\fbox{v = -3}[/tex]

A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?

Answers

Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Which expression is equivalent to

Answers

Answer:

4 ^ -8

Step-by-step explanation:

C. It will
make 18 more parts.
5
Which number line shows the solution set to 1< -49 - 13/9 x <55/3?

Answers

The inequality is x 26 and asks for the values of x where the perimeter of the rectangle is smaller than 112.

The definition of inequality

In mathematics, a link between two terms or values that isn't comparable is referred to as an inequality. As a result, imbalance leads to inequality. A mathematical inequality is a relationship between two non-equal expression . Egality is distinct from inequality. The not common basic is frequently used to denote that two values aren't actually equal (). Various inequalities are used to contrast the values, no matter how small or large. Many simple inequalities can be resolved by switching the two aspects until the variables are the only thing remaining. But a number of things encourage inequality: Values that are negative are divided or added along either side.

Here,

given

A rectangle's perimeter is determined by its length, width, and height.

rectangle's perimeter is calculated as length + length + width + width.

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

In order to find the x value that occur when the rectangle's boundary is less than 112, the inequality is x 26.

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What is the experimental probability of NOT landing on green

22%
25%
75%
78%

Answers

The answer would be 25%
동의합퍼센트 동의합퍼센트 동의합니다25%

What are the zeroes of the function?

Answers

Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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The mid point of the line segment joining the points A -2,8 and B-6,-4is

Answers

Answer:

(- 4, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A (- 2, 8) and (x₂, y₂ ) = B (- 6, - 4) , then

midpoint = ( [tex]\frac{-2-6}{2}[/tex], [tex]\frac{8-4}{2}[/tex] ) = ( [tex]\frac{-8}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 4, 2 )

a rectangular prism has dimensions of 8cm by 9cm by 10cm what is its volume?

Answers

A rectangular prism has dimensions of 8cm by 9cm by 10cm therefore the volume is 720cm³.

What is Volume?

This is referred to as the measure of the space occupied within the boundaries of any three-dimensional solid.

Volume of rectangular prism = l × w × h where l is length, w is width and h is height.

Volume =  8cm × 9cm × 10cm = 720cm³.

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The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.

Answers

Answer:

250 small cubes

Step-by-step explanation:

Because the volume of the bigger cube 30000

divided by the volume of the smaller cube 120 is 250

30000/120=250

In which quadrant does 0 lie if the following statements are true:
Sec 0 > 0 and tan 0 > 0

Answers

Answer:

7

Step-by-step explanation:

woop

a stationer sells 17 magazines for €2.70 each, 28 newspapers for €1.50 each and postcards for €0.30 each. If he collected €97.20 how many postcards did he sell?

It needs to be an expression

Answers

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

what is expression ?

Multiplication, division, addition, and subtraction are all possible in mathematics. Expression, number, and mathematical operator are the components of a mathematical expression (such as addition, subtraction, multiplication, or division, etc.). Expressions and phrases can be contrasted. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For instance, the phrase 4m + 5 consists of the terms 4m and 5, as well as the provided expression's variable m, all of which are separated by the arithmetic sign +.

given

A stationer sells 17 magazines for €2.70 each, for a total of €45.9; 28 newspapers cost €1.50 each,

for a total of €42; and

x postcards, for a total of €0.30x,

for a total of €97.20.

In order to calculate how many postcards he sold, multiply €0.30 by (45.9 + 42) to get €97.20.

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What is the mean absolute deviation (MAD) of the set

[10, 15, 18, 8, 4]

Answers

5 is the answer you are looking for

(100 points) This is 100 points. It's hard, so please take question seriously.

Compare and contrast those sounds to the frequency of your tone. What conclusions can you make about frequency?

Write each frequency in the equation:

Frequency = 1 / period

Answers

Answer:

How long does my answer have to be?

Step-by-step explanation:

#15 Please answer the question

Answers

Answer:

e

Step-by-step explanation:

The correct answer is C - angle 5.
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