A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Answers

Answer 1

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm


Related Questions

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answers

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²

PLS HELL
please tell me the answer and explain how you got it ty

Answers

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Hope this helps u don’t know how ur teacher thought this is how my teacher thought me

Pls help no links pls this is due and i need help

Answers

Answer:

angle 1=127 degree

angle 3=127 degree

angle 2=53 degree

angle 4=53 degree

angle 5=37 degree

angle 6=90 degree

angle 7=53 degree

angle 8=37 degree

angle 9=37 degree

angle 10=143 degree

angle 11=37 degree

angle 12=143 degree

Step-by-step explanation:

At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.

Answers

The equations would be:
y=9x +50
y=10x

19,X, 4, 12,4
mean=11
X=​

Answers

Statistics

Vocabulary

-------------------------

Mean is the average of a data set.

Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.

19+4+12+4+x/5

Combine Like Terms.

39+x/5=11

Use random x values to determine x.

39+16=55

55/5=11

x=16

Insert x into the equation to make sure you're correct.

19+16+4+4+12=55

55/5=11

reduce 287/861 to the simplest term in fractions

Answers

Answer:

1/3

hope this helps

have a good day :)

Step-by-step explanation:

Find the gradient of the following line

Answers

Gradient = 4

Explanation:

Take the points (0, 1) and (-1, -3)

Let (0, 1) be (x1, y1) and let (-1, -3) be (x2, y2)

m (gradient) = (y2 - y1)/(x2 - x1)
m = (- 3 - 1)/(- 1 - 0)
m = (-4)/(-1)
m = 4

6 less than half of r : translate into expression

Answers

Answer:

r/2 -6

Step-by-step explanation:

less than means it comes after

half of r

r/2

6 less than means subtract

r/2 -6

I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25 each. If I sold 51 baked goods and made $53.25 from the bake sale, which item’s sales made the most money? Cookies Brownies

Answers

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

If you can please do it all just tryna go to sleep

Answers

Answer:

1. 1

2. -3

3. yes

4. no, it is not, because the function stop at point (-6, -2)

5. -2

The height of a refrigerator would be about?
A. 7 inches
B. 7 feet
C. 7 yards
D. 7 miles​

Answers

The correct answer is B. 7 feet

Answer:

i think its b) 7 feet

Step-by-step explanation:

What is the value of x?
K
83°
L
M
(9x + 40)

Answers

Answer:

This inscribed angle is half of the intercepted arc JL, so 2(83)= 9x +40.

166 -40 = 9x, x=14.

Step-by-step explanation:

The value of x in the given figure is 14 which we obtain by  inscribed angle is half of the intercepted arc.

The inscribed angle is half of the intercepted arc.

83 = 1/2(9x+40)
Now let us find the value for x

83= 9/2x + 20

Subtract 20 from both sides to isolate the x variable

83-20=9/2x

63=9/2x

126=9x

Divide both sides by 9

14 is value of x

x=14

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ2

Please help me almost due!!!:):$:

Answers

Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

The slope of the line below is -4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.

(-2, 2)

Answers

Answer:

y - 2 = - 4(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 2, 2 ) , then

y - 2 = - 4(x - (- 2) ) , that is

y - 2 = - 4(x + 2)

The coordinates of points A and B are?

Answers

B.) (-1, 3) , (3, 2)

Step-by-step explanation:

Not sure how to explan...

Answer: B: 3,2 A: -1,3

Step-by-step explanation:

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

I need help with the answer immediately!!!!!

Answers

Answer:

y= - 1/6x + 2

Step-by-step explanation:

I know you need it quick

Y=1/6x+2
This is the correct answer

How does this make you feel?

Answers

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8

Answers

Answer:

x=4 Postive

Step-by-step explanation:

See the steps below:)

Pls help me! Look at this ss

Answers

Answer:

4

Step-by-step explanation:

Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)

Answers

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

Please answer!!
I’ll give brainlist!

Answers

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!

Answers

Answer:

here hereh ehreh ehe

Step-by-step explanation:

Answer each question and round your answer to the nearest whole number

Answers

The new height is 20 in.

Explanation:

Let the width and height of the original triangle be w1 and h1
w1 = 5 in
h1 = 4 in

Let the width and height of the enlarged triangle be w2 and h2
w2 = 25 in
h2 = ?

(Since the triangles are similar, we can use the ratio of the given sides)

h2 / h1 = w2 / w1
h2 / 4 = 25 / 5
h2 / 4 = 5
h2 = 5 x 4
h2 = 20 in

I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!

Answers

Answer: I think it’s C

Answer:

A is the correct answer to this problem.

Solve the following system.

y = -2x 2 + 3x - 1 and x + y = -1.

The solutions are
and

Answers

Answer:

x = 0, y = -1
x = 2, y = -3

Step-by-step explanation:

What is the volume of a hollow ball whose other radius is 200m and inner radius of 100m? What is the mass if it is iron?

Answers

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]

Hence, this is the required solution.

Pls i need help on these I HAVE BEEN STUCK

Answers

Answer:

5. D

6. B

7. B

Step-by-step explanation:

write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ... ​

Answers

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

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