The area of circle 1 is 6 square units. The area of circle 2 is 7 square units. Which of the following is true about the circumferences of the circles? A. The circumference of circle 1 equals the circumference of circle 2. B. Not enough information is given to make a comparison between the circumferences of the circles. C. The circumference of circle 1 is less than the circumference of circle 2. D. The circumference of circle 1 is greater than the circumference of circle 2.

Answers

Answer 1

Answer:

C. The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

6<7

We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.

We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.

Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.

C. The circumference of circle 1 is less than the circumference of circle 2.

Answer 2

Answer:

The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

Hi there!

When we compare two circles, if one is bigger than the other, it must have a greater circumference. We can see this visually.

If we want to prove this, we can take a look at the area and circumference formulas (r = radius):

[tex]A=\pi r^2[/tex]

[tex]C=2\pi r[/tex]

If we were to substitute the area formula into the formula for circumference, we would get the following:

[tex]\displaystyle\frac{A}{\pi}=r^2\\\\\sqrt{\displaystyle\frac{A}{\pi}}=r[/tex]

[tex]C=2\pi (\sqrt{\displaystyle\frac{A}{\pi}})[/tex]

Therefore, the greater the area of a circle, the greater its circumference.

I hope this helps!


Related Questions

Help please you dont need to show your work thank you sm!

Answers

32.4
Start by doing 6.4+6.4=12.8
Then do 12.8+12.8 (because there are 4 sides) =25.6
Then do 25.6+6.8 (for the final side) =32.4

Answer: 134.28

Step-by-step explanation: (I know you said not to, but imma do it anyways)

How to find the area of a triangle: base times height divided by 2

The equation will be 6.8 times 6.4 divided by 2 = 21.76

This is the area of one triangle, there is 4 triangles
(6.8 from get this length from the square which has all four sides the same length)


There are 4 triangles, so times 21.76 by 4, to get 88.04


fianally, you get the area of a square by doing length times height

6.8 times 6.8 = 46.24


then all all the area together. 88.04+46.24=134.28

Integration question

Answers

Answer:

Given in the picture below. Hope it helps.

{x-2y=-6
{3x-y=7

the system of equations below is only true if x= ??? y=???

Answers

Answer:

42 may be your answer! If not you can try 1 or 13

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: [tex]\frac{8}{5}[/tex],-[tex]\frac{11}{5}[/tex]

Equation From: x= [tex]\frac{8}{5}[/tex], y= -[tex]\frac{11}{5}[/tex]

0 divided by 0 help me plz

Answers

Answer:

0

Step-by-step explanation:

Its basically infinite because 9 divided by 3 is how many times 3 goes into 9 so 0 divided by 0 is how many times 0 goes into 0 which is infinite.

What is ∑n=16[4(−5)n−1] equal to?

Answers

Answer:

This  will be the sum of a geometric series where the first term is 4

The common ratio  is -5

And we will have 6 terms.....so....the sum is

first term   [ 1  -  common ratio^number of terms ] / [ 1 - common ratio ]  =

4  [1 - (-5)^6]  /  [ 1  - -5 ]  =

4 [ 1 - 15625 ] / 6  =

(2/3) ( -15624 )  =

-10416

Step-by-step explanation:

A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 through 9.

Answers

Using the Fundamental Counting Theorem, it is found that for each case, the total number of outcomes is:

a) 60,466,176.

b) 5,961,600.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Item a:

No restrictions, hence for each of the five characters, there are 36 outcomes, hence [tex]n_1 = \cdots = n_5 = 36[/tex].

Then, the possible number of passwords is:

[tex]N = 36^5 = 60466176[/tex]

Item b:

The letters and the digits have to be alternated, hence:

Starting with a letter, [tex]n_1 = n_3 = n_5 = 36, n_2 = n_4 = 10[/tex].Starting with a digit, [tex]n_1 = n_3 = n_5 = 10, n_2 = n_4 = 36[/tex].

Then, the possible number of passwords is:

[tex]N = 36^3 \times 10^2 + 10^3 \times 36^2 = 5961600[/tex]

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

ZA is opposite
B
A
A. BC
O O
B. AB
C. C
D. AC
E. ZA
F. AB and Ac

Answers

The right answer is A

The solution is, angle A is opposite of BC.

What is an angle?

It can be mentioned as, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

here, ABC is a triangle.

now, we have to find the side which is opposite to angle A.

so. we get,

Here, we want to get the side that is opposite of the angle marked A

Looking at the given triangle, we can see that the given angle is opposite the side labelled BC.

Thus, we can say that the angle marked A which lies on vertex A is opposite the side marked BC.

To learn more on angle click:

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Jim started reading at 6:45. He read for 1 hour and 20 minutes. When did Jim stop reading?

Answers

8:05

60 minutes in an hour
45 + 20 = 65 = 1hr5mins

1hr + 1hr5mins = 2hr5mins

Jim stopped reading at 8:05, after reading for 1 hour and 2 minutes when we started at 6:45.

How do we add time?

In time problems, we need to know the relations between seconds, minutes, hours, and days.

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

How do we solve the given question?

We are informed that Jim starts reading at 6:45.

He reads for 1 hour and 20 minutes.

We add this time to the time he starts reading to find the time when Jim stops reading.

First we add hours, 6 + 1 = 7 hours.

Now we add minutes, 45 + 20 = 65 minutes. But we know 60 minutes = 1 hour, so we can say 65 minutes = 1 hour and 5 minutes.

So when we calculate the total time, we get,

Jim stopped reading at 7 + 1:05 = 8:05.

∴ Jim stopped reading at 8:05, after reading for 1 hour and 20 minutes when we started at 6:45.

Learn more about Addition of Time at

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what is the frection of 43

Answers

Answer:

43/1

Step-by-step explanation:

i hope this helps

pls mark me brainliest

fill the blank bellow.....

Answers

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

the first slope is 0 (horizontal line)

second slope is undefined (vertical line)

the map shows the beach area on a coordinate plane. find the distance from the car to the cabana and then from the cabana to the beach.

A. 3 units
B. 6 units
C. 9 units
D. 11 units

Answers

The answer is C 9 units because it's 3 units down and then 6 units from the cabana to the beach

how people exploit patterns in mathematics

Answers

Answer:

By digging into the nitty-gritty of the mathematical problem. It's not so much about exploiting patterns as it is about understanding the critical components and how they operate.

Step-by-step explanation:

Answer:

mathematics is the study of pattern.studyinh pattern is an opportunity to observe, hypothesize, experiment, discover and createcreatecreatecreateq

Step-by-step explanation:

help please dis ish is confusing

Answers

Answer: well it is already in that form, and a is -5, b is -1/10, c is -1

Step-by-step explanation:

Pleaseee helP
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P( Drive to school | Sophomore ) = [?]

Answers

Answer:

P(Drive to school | Sophomore) = 0.07 (nearest hundredth)

Step-by-step explanation:

A probability is conditional if it depends on what has already happened.

P(Drive to school | Sophomore) means:

The probability that a student "drives to school" given that they are a "sophomore".

Using the conditional probability formula:

P(B | A) = P(B ∩ A) ÷ P(A)

⇒  P(Drive to school | Sophomore) = P(Drive to school ∩ Sophomore) ÷ P(Sophomore)

Reading from the two-way table, there are 2 people that drive to school AND are a sophomore.

Adding all the values in the table gives us the total number of students: 2 + 13 + 25 + 25 + 20 + 5 + 3 + 2 + 5 = 100

⇒ P(Drive to school ∩ Sophomore) = 2/100 = 0.02

Adding all the values in the sophomore line of the table gives us the total number of sophomores:  2 + 25 + 5 = 30

⇒ P(Sophomore) = 30/100 = 0.3

Now plug these values into the formula:

P(Drive to school | Sophomore)  = P(Drive to school ∩ Sophomore) ÷ P(Sophomore)

P(Drive to school | Sophomore)  = 0.02 ÷ 0.3

                                                      = 1/15

                                                      = 0.07 (nearest hundredth)

please help me i need answer

Answers

A. 3 4 and 6

B. 10.4 inches

4 is increased to 23 what is the percentage

Answers

El ops the tour Thsi she firśes

Fśirso 10

HELP ASAP

An equation of the form y = mx can be used to determine the amount of money an employee earns for working a certain number of hours.
Rebecca earns $58.75 for working 5 hours. How much money would she earn for working 12 hours? What equation did you use to find the amount Rebecca earns?

I just need the equation pls help!

Answers

Answer: Let y be the amount of money earned, and x be the number of hours
The equation will be y= 11.75x

One cat travels 4.5 meters in 1.5 seconds. Another cat travels 11.7 meters in 4.5 seconds?

Answers

What are we trying to find in this problem? Add details please

Step-by-step explanation:

yes please cause I'm trying to predict what your saying

|2x + 11| =2(x + 1) solve the absolute value

Answers

Answer:

Step-by-step explanation:

|2x + 11| = 2(x+1) to find the absolute value we write two equations

2x + 11  = 2x + 2 or

2x + 11 = -2x - 2 for the first equation

2x + 11  = 2x + 2 export like terms to the same side of the equation

2x - 2x = 2 - 11

0 = -9 this expression is wrong now let's try second equation

2x + 11 = -2x - 2 export like terms to the same side of the equation

2x + 2x = -2 - 11

4x = -13 divide both sides by 4

x = -13/4

a boy throws a ball straight up into the air it raches the highest point of its after 4 seconds how fast was the ball going when it left the boy's hand

Answers

Answer:Take into account the the Earths gravity is 9.8 meters a second

Step-by-step explanation:

Pls help me with this and an explanation

Answers

Answer:

The relationship in this equation is linear, but not proportional. If it was proportional, then replacing x with nx should give ny as the answer. Example:

y = 3x

Replace x with 2x.

y' = 3(2x) = 2(3x) = 2y

y' = 2y

This is proportional. But if you replace x with 2x in

y = 3x + 5,

you will not get 2y for y'. This case is not proportiona

Answer:

If two quantities are proportional, then they have a constant ratio. If the ratio is not constant, the two quantities are said to be non-proportional. We will make tables and look at the relationship between the variables to determine proportionality.

Step-by-step explanation:

If we were to graph this the vertices would be (0,5), (1,8) then after that the vertices are not constant therefore making it NOT a proportional relationship

y = 3x

Replace x with 2x.

y' = 3(2x) = 2(3x) = 2y

y' = 2y

This is proportional. But if you replace x with 2x in

y = 3x + 5,

you will not get 2y for y'. This case is not proportional

Hope this helps please mark brainliest :)

The mean and standard deviation s measure center and variability but are not complete description of distribution. Data sets with different shapes can have the same mean and deviation

Answers

they can have the same mean and deviation

pls help ASAP I will give you 20 points!!!​

Answers

Answer: .....

ok done. Thank to me :>

Write the number 2.2 x 103 in standard form.
Pls help

Answers

1.3222 x 10^ 6 hope that helps have a good day or night

Tony loves collecting toy cars. He wants to write a story problem for his math assignment using the topic of cars, and
2
3
×
1
2
=
as the equation. Help Tony write a story problem using the equation and topic he chose, and then solve it.

Answers

Answer:

1/3

Step-by-step explanation:

did the quiz and got the answer correct

Solve for m in d=m/v, if d=5.1 and v=0.3 . m=

I made this for 100 Points but brainly makes it for 50 points

Answers

Answer:

m = 1.53

Step-by-step explanation:

d=m/v

5.1=m/0.3

m = 5.1 * 0.3

m = 1.53

{ changing sides, changes the sign + to - and - to + }

{ changing side, changes * to / and / to * }

Answer:

m = 1.53

Step-by-step explanation:

because it is

each day you terry and 3 other friends randomly choose one of your 5 names from a hat to decide who throws away everyone's lunch trash what is the probability that you are chosen on monday and terry is chosen on tuesday

Answers

1/5 because there is 5 friends and you will each have 1 percent of probabality.

The probability of being chosen on Monday is 1/5, and the probability of Terry being chosen on Tuesday is 1/4, the probability of both events happening is 1/20.

To find the probability that you are chosen on Monday and Terry is chosen on Tuesday,

Calculate the probability of each event separately and then multiply the probabilities.

Probability of you being chosen on Monday:

There are 5 names in the hat, including yours. Since you and 3 friends are drawing one name randomly, the probability of you being chosen on Monday is 1 out of 5.

Probability of you being chosen on Monday = 1/5

Probability of Terry being chosen on Tuesday:

After you were chosen on Monday, there are now 4 names left in the hat, and one of them is Terry's. So, the probability of Terry being chosen on Tuesday is 1 out of 4.

Probability of Terry being chosen on Tuesday = 1/4

Now, to find the probability of both events happening, we multiply the probabilities:

Probability of you on Monday AND Terry on Tuesday = (1/5) * (1/4) = 1/20

Therefore, the probability that you are chosen on Monday and Terry is chosen on Tuesday is 1/20.

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please help me :)
deandre runs 4 miles in 30 minutes. at the same rate, how many miles would he run in 48​

Answers

Answer:

Deandre runs 4 miles in 30 minutes

Deandre runs 1 mile in 30/4 minutes=7.5minutes

Deandre runs 4x7.5 miles in 48 minutes

                      =30miles

Step-by-step explanation:

Tamara made 6 free throws out of 8 attempts. What percent of the free throws did she make? Complete the steps to answer the question.

Answers

Answer:

75%

Step-by-step explanation:

6/8=3/4=75%

Please help with question 5

Answers

y = -x - 1
the linear line has a negative slope and its y-intercept is -1
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