A sector of a circle has an arc length of π cm and a central angle of π6 radians. What is the area of the sector?

A. 5π cm²
B. 2π cm²
C. 3π cm²
D. π cm²

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

The Area of sector is π cm². so option D is correct.

How to find the area of a sector of a circle?

The sector of a circle is like a slice of a circular pizza.

[tex]A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area[/tex]

Mathematically π  radians = 180 degrees

thus, π /6 radians =  180/6 = 30 degrees

The formula for the length of an arc is;

Ф/360 x 2πr

where Ф, is 30 degrees

And the arc length is pi

so we have

30/360 x 2πr = π

30/360 x 2r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

Ф/360 x πr^2

30/360 x π36

= π cm^2

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Related Questions

what is negative 8 plus ninety two

Answers

Answer:84

Step-by-step explanation:

-8+92

Lo puedes dar la vuelta

92-8= 84

Answer:

84

Step-by-step explanation:

So -8 + 92 = 92 - 8

   92

-     8

______

   84

So, -8 + 92 = 84

hope this helps:)

1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
* Will be remarked as Brainliest*

Answers

Answer:

60%

Step-by-step explanation:

Possible numebrs that can be picked are 1,2,3,4,5

The only odd numbers are 1,3,5

3 odd numbers out of 5 possible numbers

3/5=0.6=60%

someone help please!!!!

Answers

Answer:

y=4x+3

Step-by-step explanation:

Slope of the line is 4

So the equation of the parallel line is y=4x+b

To find b we use the points

-5=(4)(-2)+b

Solve

-5=-8+b

3=b

Then submit the values

y=4x+3

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

I WILL GIVE BRAINLIEST.

(-a)n is negative

If a is a real number and n is a positive integer, which of the following represents all values of a and n such that the above
statement is true?

A. {a | a is positive) and {n | n is even}
B. {a | a is negative } and for {n| n is odd}
C. {a | a is negative} and {n | n is even}
D. {a | a is positive} and {n | n is odd}



Answers

Answer:

(-a)n is negative  number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is C

Step-by-step explanation:

How many solutions does this equation have?

–2 + 2s = –3s + 8

Answers

Answer:

Step-by-step explanation:

-2 + 2s = - 3s + 8

-2 - 8 = - 3s - 2s

-10 = - 5s

-10/-5 = s

2 = s

Answer:

2

Step-by-step explanation:

-2+2s=-3s+8

-2+2s-(-3s)=8

-2+2s+3s=8

-2+5s=8

5s=8-(-2)

5s=8+2

5s=10

s=10/5

s=2

Multiply polynomials

Answers

Answer -2x^4 - 2x^3 + 22x^2 - 30x + 12

Here's your solution

=> (2x^2 - 4x + 2) - (x^2 + 3x - 6)

=> (2x^2 - 4x + 2) -x^2 - 3x + 6

=> firstly multiple whole with -x^2

=> -x^2(2x^2 - 4x + 2) = -2x^4 + 4x^3 - 2x^2

=> now with -3x

=> -3x(2x^2 - 4x + 2) = -6x^3 +12x^2 -6x

=> with 6

=> 6(2x^2 - 4x + 2) = 12x^2 - 24x + 12

=> now add all terms

=> -2x^4 - 2x^3 + 22x^2 - 30x + 12

hope it helps and your day will be full of happiness ^_^

Mariela bought gas for her car. Gas costs $2.12 per gallon, and
Mariela bought 23.5 gallons. How much did Mariela spend on gas?
Round to the nearest cent.

Answers

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

49.82, You have to multiply the cost of each gallon with the gallons all together (23.5) and you will get 49.82.

6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000

Answers

Answer: B

0.006

Step-by-step explanation:

Answer:

B. 0.006

Step-by-step explanation:

for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.

i hope this helps!

find the missing side length. leave your answers as radicals in simplest form.​ show work!!

Answers

Answer:

v = 3√6

u = 6√3

Step-by-step explanation:

v = 3√6 because it is an isosceles triangle

u² = 2(3√6)²

u² = 108

u =√108 = 6√3

Find the length of leg " a" if leg "b" = 12 and the hypotenuse "c" is 13

Answers

a^2 + b^2 = c^2

a^2 + (12)^2 = (13)^2

a^2 + 144 = 169

a^2 = 169 - 144

a^2 = 25

Sqrt (a^2) = Sqrt(25)

a = 5

Please mark brainliest if this helps

pls helppp! thank you so much

Answers

Cge I believe hope this helps

a fair number cube with faces numbered 1 through 6 was rolled 12 times the cube landed with the number to face up six times what is the difference between the experiment probability and the theorical probability of the number two landing face up


1/3


1/2


1/6


2/3​

Answers

Answer:

ri1/2 you should mark the other person brainliest

Step-by-step explanation:

A man is four times as old as his son. In five years he will be only three times as old as his
son. What is the man's present age?

Answers

Answer and working out attached, hope this helps

The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] =  9π sq. m.

1/5, 0.25, 20.5%, 4/25, 0.22

Answers

Answer 22%

Step-by-step explanation:

Answer:

so I guess I have to put those numbers in a order.

smallest to largest:

4/25, 1/5, 20.5%, 0.22, 0.25

largest to smallest:

0.25, 0.22, 20.5%, 1/5, 4/25

Step-by-step explanation:

1/5 = 0.2

20.5% = 0.205

4/25 = 0.16

Have a nice day!

x2 + 7y if x = -5 and y = -8

Answers

Answer:

x2 + 7y = -64 (if x = -5 and y = -8)

Step-by-step explanation:

x2 + 7y

(-5 × 2) + (7 × -8)

-10 + -54 which is the same as -10 - 54

-64

The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ x² + 7y

And, x = - 5 and y = - 8

Now, Substitute the value of x and y in the expression, we get;

⇒ x² + 7y

⇒ (-5)² + 7×- 8

⇒ 25 - 56

⇒ - 31

Thus, The value of expression is, - 31.

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Which graphic organizer correctly groups the following four numbers?

3.4 -2 3 -1.2

Answers

The answer is -1.2 , -2, 3, 3.4

Jake washes cars. On monday he washed 18 cars for $90. On tuesday he washed 9 cars for $45. On wednesday he washed 12 cars for $60. What is the rate of change of Jakes earnings?

Answers

Answer:

the rate  of change is 5

Step-by-step explanation:

$90 / 18 cars = $5 per car

$45 / 9 cars = $5 per car

$60 / 12 cars = $5 per car

That means the rate of change is 5 (5/1)

See attachment for reply.

A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:

Answers

Given:

Number of red M&Ms = 8

Number of blue M&Ms = 13

Number of brown M&Ms = 4

Number of green M&Ms = 8

An M&M is picked at random from the bag.

To find:

The probability of picking a red M&M.

Solution:

We have,

Number of red M&Ms = 8

Total number of M&Ms [tex]= 8+13+4+8[/tex]

                                       [tex]=33[/tex]

So, probability of picking a red M&M is:

[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]

[tex]\text{Probability}=\dfrac{8}{33}[/tex]

Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].

What would you have liked to learn in Art, that you haven't learned?
Please answer my question, I'm doing a Graffiti Project in Art!! ASAP!

Answers

Say “ I would like to learn 3-D shapes and painting self portraits”

Hmm I would like to to learn to draw comics or basically be a comic artist, and wow I’ve never tried graffiti :)

URGENT HELP !!!!!
Find the solution to the following system of equations using the comparison method:
Y=8x
Y=10x -6
No links or I am reporting

Answers

Answer:

4 I think is the answer

Step-by-step explanation:

A tangent to a circle is a line that cuts it in exactly 1 point.
true or false

Answers

I think the answer is faulse

Answer:

true

Step-by-step explanation:

because it touches the end of the circle it doesn't intersect in more than one

Let X and Y be the following sets: X = {0, 12, 23} Y = {3, 12, 15) Which of the following is the set X/Y?​

Answers

Answer:

set X/Y = {0,23}

Step-by-step explanation:

We are given the sets;

X = {0, 12, 23}

Y = {3, 12, 15}

Now, we want to find the set X/Y.

The set X/Y means the set that has numbers which are only in set X but not in set Y.

The numbers from inspection of both sets are 0 and 23.

Thus;

set X/Y = {0,23}

PLS HELP ASAP PLS PLS PLS PLS !!!!!!

Type you answer NUMBER ONLY, no units (degrees) *

Answers

Answer:

59°

Step-by-step explanation:

180°-116°=64°

57°+64°=121

180°-121°=59°

Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help​

Answers

Answer:

KitKat

Step-by-step explanationKitKat

If the car spends no time going 35 miles per hour how long would the trip take?

Answers

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

What is distance?

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

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can someone help me with this problem?

Answers

ANSWER: 21

WHY:

Each number on the left side is multiplied by 3. There are 3 blue marbles in each bag. 7 bags will have 21 blue marbles. 7*3=21


MARK ME BRAINLIEST PLEASE

Can someone please help me asap ill mark brainlist + extra points!!!!!

Answers

7. Radius =15 diameter=30 area=15^2pie circumference=30
8. Radius=8 diameter=16 area=8^2pie
Circumference=16
9. Radius=10 diameter=20 area=10^2pie
Circumference=20

Step-by-step explanation:

1. radius=d/2= 30/2= 15yds

diameter= 30yds

area=πr²= 22/7*(15)²

707.14yds²

circumference= 2πr=2*22/7*15

94.29yds

2.radius=8in

diameter= 2r =2(8)=16in

area=πr²= 22/7*(8)²

201.14in²

circumference= 2πr=2*22/7*13

50.29in

3.radius=d/2 =20/2=10ft

diameter= 20ft

area=πr²= 22/7*(10)²

314.29ft²

circumference= 2πr=2*22/7*10

62.86ft

HELP PLEASE!!!!! 13 POINTS!!! WILL GIVE BRAINLIEST!!!
Which exponential expression is equivalent to the one below? (7x2)^5

Answers

Answer:

The 2nd option is the correct answer - 7⁶ . 2⁶

Answer is

B. 7^6*2^6
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