Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.

A circle has a central angle that measures 120 degrees and a radius of 8.


fraction numerator 48 straight pi over denominator 9 end fraction units squared

fraction numerator 64 straight pi over denominator 3 end fraction units squared

fraction numerator 32 straight pi over denominator 3 end fraction units squared

fraction numerator 16 straight pi over denominator 9 end fraction units squared

Answers

Answer 1

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

Area of a sector

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

r = radius∅ = central angle

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

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Related Questions

Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))

Answers

Answer:

hello

g (x)= x² - 5

g (3) = 3² - 5 =  9 - 5 =  4

Step-by-step explanation:

100 points!!! Please help with this math.

Answers

Answer:

12ft

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.

The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.

Complete this pattern please?

Answers

Answer:

30, 40, 50, 60, 70

Step-by-step explanation:

Abraam needs bread to make his sandwich for lunch. He'd like to buy a loaf at the best value. At the store, there is a 1 lb. loaf for 80¢ and a 2 lb. loaf for $1.95. per oz. The 1 lb. loaf costs Choose... per oz. and the 2 lb. loaf costs Choose... Abraam should buy the Choose... loaf of bread. Unlimited A​

Answers

Answer:

loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1

Step-by-step explanation:

evaluate the expression when x = 2 x^2 + 8x – 6​

Answers

Answer:

x =(7-√97)/-4= 0.712

Or

x =(7+√97)/-4=-4.212

A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air

Answers

Using the relation between velocity, distance and time, it is found that:

The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.

What is the relation between velocity, distance and time?


Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b + v_w = \frac{48}{3}[/tex]

[tex]v_b + v_w = 16[/tex]

Her flight home against the wind took 4 fours, hence:

[tex]v = \frac{d}{t}[/tex]

[tex]v_b - v_w = \frac{48}{4}[/tex]

[tex]v_b - v_w = 12[/tex]

Adding the two equations:

[tex]2v_b = 28[/tex]

[tex]v_b = 14[/tex]

[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]

Hence:

The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.

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PLEASE GUYS I REALLY NEED TO GET A C OR A B IN MATH PLEASE I NEED AT LEAST ONE PERSON TO HELP ME WITH MY SI




The prism below is made of cubes which measure of an inch on one side. What is the volume?



Note: Figure is not drawn to scale.

A.



B.



C.



D.

Answers

Answer:

35

Step-by-step explanation:

V=Bh

V = 6(5)

V= 35

Answer: the answer is A.  10/9 cubic in.

Step-by-step explanation:

Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°

Answers

Answer:

A

Step-by-step explanation:

80 degree becaue a triangle = 180 degress

180 - 100 = 80

3-5 1/3 on a number line

Answers

Show the picture of the problem

A rectangular box with a square base and no top is to have a volume of 108

Answers

okay? what’s the question here

The value in cubic yards is 3.996yd³.

What is the volume of the rectangular box?

The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.

A rectangular box with a square base and no top is to have a volume of 108ft³.

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 × x = 108 × 0.0370

x = 3.996

Hence, the value in cubic yards is 3.996yd³.

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#SPJ4

Which is the solution to the inequality?
28 8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>

Answers

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5+ 8/15<b

9+8

2-----------=2 17/15

15

=2+ 1 2/15

=3 2/15 <b

b> 3 2/15

Answer:

b > 3 2/15

Step-by-step explanation:

2 3/5 < b - 8/15

Convert the number

2 × 5 + 3/5 < b - 8/15

10 + 3/5 < b - 8/15

13/5 < b - 8/15

Rearrange the terms

-b < -8/15 - 13/5

Transform the expression

-b < -8 - 39/15

Calculate

-b < -47/15

Divide both sides

b > -47/15 = b > 3 2/15

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Little helppp please ​

Answers

Answer:

Answer given above

Step-by-step explanation:

a.) 6 m n^8

b.)2x^8 y^3

c. ) d^3 e

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).

Answers

The domain is all real numbers.

On the coordinate plane, the parabola opens down, passes through (-2,0), has a vertex at (0.5,6.75) and goes through (1,0)

The vertex is its maximum value.

Which expression is equivalent to x + 11?
11 x
11 + x
11 - x
- x + 11

Answers

Answer:

11 + x

Step-by-step explanation:

x + 11 can be reversed as 11 + x and it would still mean the same thing.

11x means 11 * x so does not match

11 + x and x + 11 same this is correct answer tho

last two are also same  11 - x  and -x +11

the statement "If A, then B" can be best described as

Answers

If the statement A is true then the statement B is true and vice versa for if statement A is untrue

Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?

Answers

Answer:

$7.13

Step-by-step explanation:

Very simple, we subtract 12.87 from 20 and the answer is 7.13.

So should get back $7.13 as her change

Which ratio is not equivalent to 3/5 ?
A. 15/20
B.6/8
C.30/50
D.12/20

Answers

Answer:

A & B

Step-by-step explanation:

15/20 is not equal

6/8 is not equal

30/50 is equal

12/20 is equal

Hey there!


3/5

= 3 ÷ 5

= 0.60

= 60%

• So, we’re looking for something that’s equivalent to 0.60 or 60%

Option A.
15/20

= 15 ÷ 20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option A. could possibly be your equivalent to your fraction


Option B.
6/8

= 6 ÷ 8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!


Option C.
30/50

= 30 ÷ 50

= 30 ÷ 5 / 50 ÷ 5

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option C. could possibly be your equivalent to your fraction.

Option D.

12/20

= 12 ÷ 20

= 12 ÷ 2 / 20 ÷ 2

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%

So, Option D. could possibly be your equivalent to your fraction.

To sum it all up, your answer is:

Option B. 6/8


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the mode for the following set of data?

5, 7, 8, 10, 12, 12

10
9
7
12

Answers

Answer:

I think it would be 10

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.

A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement

Answers

Answer: should be B

Step-by-step explanation:

The area of the path of the width 5 m is surrounded outside the square pond is 900m^2 find the length of the pond ​

Answers

Answer:

180m

Step-by-step explanation:

[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]

There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X

Answers

Answer:

5

Step-by-step explanation:

19-14=5

for the Tape diagram just make 19 boxes and fill in 5.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4

Answers

The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.

How to find the mean (expectation)?

The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,

[tex]E(x) = \sum xP[/tex]

where x is the score and P is the probability of the score occurring.

[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]

Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.

Also, the probability of score 3 coming is maximum which is equal to 0.48.

Hence, the score that is most likely to occur is 3.

Learn more about Expectation:

https://brainly.com/question/4515179

Answer:c

Step-by-step explanation: just took the test

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )

Answers

Answer 84.500

Step-by-step explanation: you have to multiply 1,300x65 then 300x 40

and  then 12,000

Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.

Answers

Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

What is algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Amelia is using substitution to determine if 8 is a solution to the equation.  The equation which is Amelia is solving  for a = 8 is,

[tex]6a = 42[/tex]

First, Amelia must substitute 8 for the variable using parentheses as,

[tex]6(8) = 42[/tex]

To simplify, Amelia must. multiply 8 by 6.

[tex]48 \neq 42[/tex]

The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.

Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

it is a

Step-by-step explanation:

Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication

Answers

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

Whoever answers first gets 30 points plus brainliest

how many months are there in 7 years???

good luck ;)

Answers

Answer:

84

Step-by-step explanation:

1 year= 12 months

7 years × 12 months each= 84 months in total for 4 years

We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2

Answers

Answer:

  3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

__

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

  2x +4(6 -x) = 18

  -2x +24 = 18

  -2x = -6 . . . . . . subtract 24

  x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

Additional comment

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire

Answers

Answer:

65 m

Step-by-step explanation:

The length of the mast, 60 m, is a leg of a right triangle.

The distance the wire is from the foot of the mast is the other leg.

The length of the wire is the hypotenuse of the right triangle.

We can use the Pythagorean theorem to find the length of the wire.

a² + b² = c²

60² + 25² = c²

3600 + 625 = c²

c² = 4225

c = 65

Answer: 65 m

Determine the probability of choosing a pair need help

Answers

7.5 is the answer have a good day

Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?

Answers

Answer: Deshi will have 302 marbles  and Elaheh will have 519.

Step-by-step explanation:

Deshi's Marbles will subtract 125.

427 - 125 = 302.

Elaheh's Marbles will add 125.

394 + 125= 519.

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