If two sectors have an area of 12π square units, and one sector is from a circle with radius 6 units, while the other is from a circle with a radius of 4 units, how do the central angles for these sectors compare?

Answers

Answer 1

Answer:

Thus, the ratio of the central angles is 4 : 9.

Step-by-step explanation:

Area, A = 12 π square units

radius, R = 6 units

radius, r = 4 units

Area of sector is given by

[tex]A=\frac{\theta }{360}\times \pi r^{2}[/tex]

For first sector

[tex]12\pi=\frac{\theta }{360}\times \pi \times 6^{2}\\\\\theta = 120^{o}[/tex]

For second sector

[tex]12\pi=\frac{\theta' }{360}\times \pi \times 4^{2}\\\\\theta' = 270^{o}[/tex]

So, the ratio is

[tex]\frac{\theta}{\theta'}=\frac{120}{270} =4 : 9[/tex]

Answer 2

Answer:

4 : 9

Step-by-step explanation:

Given:

Two sectors, each has an area of 12pi, but with radii r1=6 and r2=4 units.

Find ratio of central angles.

Solution:

Let A = central angle

Area of a sector = pi r^2 (A/360)

Since both sectors have the same area,

pi r1^2 (A1/360) = pi r2^2 (A2/360)

simplifying

A1 r1^2 = A2 r2^2

Therefore

A1 : A2  = r2^2 : r1^2 = 4^2 : 6^2 = 4 : 9


Related Questions

Find the total monthly pay if total sales for a month were $34,450, the commission rate is 4.5% and the weekly base salary $175

Answers

Answer:

196.9

Step-by-step explanation:

The answer to this question is 196.9

Two lines meet at a point that is also a vertex of an angle; the measurement of ∠AOF is 134°.

Set up and solve an equation to find the values of x and y

Answers

Answer:

x and y are the same. they are both 99

Step-by-step explanation:

What is the area of the shaded region ?

Answers

Answer:

254.34 m

Step-by-step explanation:

since the formula is A= (pi)r^2

divide 18 by 2 to get the radius = 9

square the radius and get 81

then finaly just multiply 81 by 3.14 = 254.34

The area of the shaded region is the difference between the areas of the rectangle and the square.

The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?

A. 10
B. 24
C. 26
D. not enough information is given

Answers

Answer:

26

Step-by-step explanation:

use pathagorean theorem

a^2 + b^2 = c^2 where a and b are legs and c is the hypotenuse

10^2 + 24^2 = 676

then take the square root of 676

[tex]\sqrt{676}[/tex] = 26

Answer:

its 26

Step-by-step explanation:

srry i cant upload pics but i did the work

John bought groceries for $105.30 and paper products for $35.50. The total bill including tax was $142.93. There was no tax charged on the groceries. What was the tax rate on the paper products?

Answers

The answer should be $2.13
$2.3


Dejehwjjdjsjajdjd

A tree in John's backyard has been growing for 4 1/2 years. The tree is 4/5 meters tall. What is the unit rate in meters per year? No links or I will report. Answer in a fraction or mixed number in simplest form or whole number. Answer fast please.

Answers

Answer:

5 127/200 meters

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

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

4 5/10 = 4.5 | 8/10 = 0.8

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

4.8 divided by 0.8 = 5.625

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

5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

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

5 + 127/200 = 5 127/200

The unit rate in meters per year is 8/45 meter/year.

Given that, a tree in John's backyard has been growing for [tex]4\frac{1}{2} = \frac{9}{2}[/tex] years. The tree is 4/5 meters tall.

What is the unit rate?

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Now, unit rate = 4/5 ÷ 9/2

= 4/5 × 2/9

= 8/45 meter per year

Therefore, the unit rate in meters per year is 8/45 meter/year.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

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plz solve quickly PLZ

Answers

Answer:

1. 25% 2. 35% 3. 30%

Step-by-step explanation:

I got the answers from the Pie Chart that was included on the image!

Hope this helps <3

1. 65
2. 91
3. 78

260•25%=65
260•35%=91
260•30%=78

Have a nice day

Please answer this ASAP

Answers

Answer:

1. 22

2. 16

3. -43

4. -8

D

This is not all the answers

Sara’s weekly paycheck $8,750 including base salary $1,500. Sales for the week totaled $75,000. What is the rate of commission to the nearest whole number?

Answers

9% $75,000 x 9%= $6750 + 1500 base salary is $8250. 10% would be too much, so the rate of commission to the nearest whole number is 9%
The nearest whole number is 9%

Evaluate the expression for the given value of the variable.

Answers

Answer:

17

Step-by-step explanation:

24/t  + t^2

Let t=3

24/3  + 3^2

8 + 9

17

Answer:

The correct answer is 17

What is the area of the shaded region?

Answers

Answer:

if pi is 3.14: 163.52 [tex]m^2[/tex]

if pi is just π: 264 - 32π [tex]m^2[/tex]

Step-by-step explanation:

22 x 12 = 264

4 x 4 = 16

16 x 2 = 32

16 x 3.14 = 50.24

264 - 50.24 x 2 = 163.52

Answer:

163.47

Step-by-step explanation:

We know the area of the whole rectangle by multiplying 12 by 22 to get 264. Now we just have to find the area of the circles and subtract it from the rectangle.

The area of a circle is πr^2. These circles' radii is 4, so 4^2π = 16π

Since there are 2 circles, double 16π to get 32π, 32π is equal to 100.53096491, rounded to 100.531. 264 - 100.531 = 163.469, rounded to 163.47

Which statement from "President Obama's Third Annual Back to School Speech" best represents a claim in his speech?

A. "Each of these questions led to new questions."

B. "And now he’s helping other young people be able to afford the schooling that they need."

D. "The point is you don’t have to wait to make a difference."

E. "She hadn’t taken chemistry yet, so she taught herself chemistry during the summer.

please help this is K12

Answers

Answer:

b is the only one that makes sense

"The point is you don’t have to wait to make a difference." The correct option is D.

What is speech?

Speech can have multiple meanings depending on the context or situation. The act of speaking and communicating verbally with others is referred to as speech.

Overall, the act of communicating through language, whether through spoken words or other forms of verbal communication, is referred to as speech.

"The point is you don't have to wait to make a difference," says President Barack Obama in "President Obama's Third Annual Back to School Speech."

A claim is an assertion that something is true, and this assertion encourages students to take action and make a difference in their communities.

Thus, the correct option is D.

For more details regarding speech, visit:

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A closet containing 120 pieces of clothing is made of sweaters, jeans, and skirts. The ratio of sweaters to jeans is 8:3, and the ratio of jeans to skirts is 3:4. If 4 of the pairs of jeans were taken out of the closet and were replaced by 4 skirts, what will be the new ratio of jeans to skirts?
A. 3:4
B. 4:5
C. 5:9
D. 1:11

Answers

Answer:

C, 5:9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Context for variables

sw: number of sweaters

j: number of jeans  

sk: number of skirts

The following three equations are established from the question:

sw + j + sk = 120

sw/j = 8/3

j/sk = 3/4 or sk/j = 4/3

Dividing the first equation by j, we get:

sw/j + j/j + sk/j = 120/j

8/3 + 1 + 4/3 = 120/j

5 = 120/j

j = 120/5 = 24

sw = 24*8/3 = 64

sk = 24*4/3 = 32

After the replacement the new number of jeans and skirts are:

j' = 24 - 4 = 20

sk' =  32 + 4 = 36

the new ratio of jeans to skirts is:

j'/sk' = 20/36 = 5/9

kaya does homework for 2 2/3 hours. she spends 1/4 of this time doing science homework. how much times does she spend doing her science homework?

Answers

20 minutes long she does homework for

please help and no links either

Answers

Answer:

D

Step-by-step explanation:

It says less than do I think it should be d

Sorry if I am wrong

the answer is D thank me later ☝️

Kelly collected $15, $15, $25, and $29 in the last 4 donations for the class fundraiser. The mean of the donations is _____?

Answers

Answer:

21

Step-by-step explanation:

To find the mean, add up all the numbers

15+15+25+29 =84

Divide by the number of numbers

84/4 = 21

21
15+15+25+29=84
84/4=21

please answer all even questions and if you get them right ill date you for 1 day girl or boy but please help

Answers

Answer:

#2 = 56.55 | #4= 25.13 |#6= 12.57 | #8= 56.55

Step-by-step explanation:

HI HELP PLEASE I GIBE BRAINLISY

Answers

Step-by-step explanation:

Hope it helped!

Trying again:

1/3 of 80= 26.7(1dp)

1/4 of 80= 20

26.7+20= 46.7(1dp)

80-46.7= 33.3(1dp)

Either 33 or 34 people

Answer:

30

Step-by-step explanation:

We can estimate that 1/4 people had cereal and after that, half chose eggs/ meat over toast/roll.

1/4 * 80 is 20 So we are left with 60.

60/2  is 30.

So I would estimate 30 people chose eggs and meat.

Write the equation of this line in slope-intercept form

Answers

Answer:henenenen

Step-by-step explanation:

Bnenekekejeje sry this wasn't helpful I need points for this app

Answer:

y=1/2x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-2))/(2-(-8))

m=(3+2)/(2+8)

m=5/10

m=1/2

y-y1=m(x-x1)

y-(-2)=1/2(x-(-8))

y+2=1/2(x+8)

y=1/2x+8/2-2

y=1/2x+4-2

y=1/2x+2

explain step by step please

Answers

Answer:

1)0.6x=54  2)90

Step-by-step explanation:

1) 60% is the same as 0.6 and finding 60% is the same as as doing 0.6 times whatever the number is and here we don't know the number so it would be x. so 0.6 times x or 0.6x=54. You could also just write 60% of x=54

2) You would have to do the opposite of finding 60%.

So you would do 54/6=9 and 9*10=90. this is because to find 60% you have to do divide by 10 and times by 6. So you do the opposite. you can check your answer by doing 60% of 90. So 90/10= 9 and 9*6=54. Therefore his fundraising goal is $90

yea what that person said they so smart

Marcus is rolling a number cube with sides labeled 1 to 6 A: The probability that the number cube will show 10 is______ B:It is ___ that the number cube will show 10.

Answers

Answer:

7%

Step-by-step explanation:

Answer:

A. 0% B. Impossible

Step-by-step explanation:

The cube is only 1 through 6 6 is least than 10

pls help me with this math problem

Answers

Answer:

You can use this formula

A = 2 (wl + lh + hw)

to soslve that

Step-by-step explanation:

a = 2 is the answer is pretty sure

HELP PLZ! ID.K HOW TO DO THIS! :) (RIGHT ANSWER WILL GET BRANLIEST)

Answers

Answer:

first one it is about 10

Secound one is 4 ÷ (1)=4

the third is x<4

the fourth is 16 ÷(-4)=4

Step-by-step explanation:

1. 34/3.5=9.714.... so if rounded its about 10

2. its not going to be negitive so that why its that

3.because its after(it shows in the diagram.)

4. i'm not sure how to explain this one i'm sorry

5. Point H is located at (-7, 5). Where is H' after a 270° clockwise rotation?​

Answers

I hope this helps you sorry to get it wrong

Answer:

H after a 270 degrees clockwise rotation is at  (-5,-7)

PLS HELP ASAP DUE IN 40 MINUTES

The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?

The pyramid has 4 congruent faces.

The pyramid has 5 congruent faces.

The pyramid has 1 pair of congruent faces.

The pyramid has 2 pairs of congruent faces.

Answers

Answer:

It is  (A)  4 congruent faces

Step-by-step explanation:

Easy to see how its the Base sides

-Hope it helped

the pyramid has 2 pairs of congruent faces. the opposite faces will be congruent as their base length will be the same. this can be proven using SSS congruence. if the base is a square, only then can we say that all 4 faces are congruent.
Hope this helps :)

I need help ASAP please

Answers

Answer: THe top right one is the answer

I agree with the comment above

Point D was reflected over the y-axis to make Point D'.
Where was point D before the reflection?
A (3,-2)
B (3, 2)
C (-3, -2)
D (-3, 2)

Answers

Answer is C (-3,-2) because over the y axis, x would stay the same, y will change.
I think the answer is C (-3,-2) because at point D after the reflection (3,2) , so before the reflection is (-3,-2)
I think???

Can someone please do these two!! I would really appreciate it!



Answers

Step-by-step explanation:

a) d = 60 mi

t = 45 min = 0.75 hr

v = d/t

= (60 mi)/(0.75 hr)

= 80 mi/hr

b) t = d/v

= (75 mi)/(50 mi/hr)

= 1.5 hrs

Which statement correctly represents that an elevation of -9 feet is higher than an elevation of -13.75 feet?


-9 feet < -13.75 feet

-9 feet > -13.75 feet

-9 feet = -13.75 feet

Answers

Answer:

-9 feet > -13.75 feet

Step-by-step explanation:

-9 feet is bigger than ( > ) -13.75 feet

Answer:

-9 > -13.75

Step-by-step explanation:

think as the > if it's a crocodile, it's going to eat the biggest amount. lol

Jess surveys her class to find out how many hours of sleep her classmates get per night. She lists the number of hours for each student,
8, 11, 10, 9, 9, 10, 11, 8, 10, 9, 8, 9, 7, 9, 10, 9, 11
Which question can be answered with Jess's data?
A. Who gets the most hours of sleep per night?
8. Who gets 7 hours of sleep per night?
C. How many hours of sleep does Jess get per night?
D. How many students get 8 hours of sleep per night?

Answers

D. Umm explanation you’re not asking for who but the number of students.

Answer:

D

Step-by-step explanation:

Just by looking at the data, you cannot answer A, B, or C because they are asking for who. There is no information on the data on WHO each piece of data is referring to. You can only answer D, which asks for HOW MANY. You can count how many 8s there are and answer the question.

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