The area of a circle is 9π cm². What is the circumference, in centimeters? Express your answer in terms of
π

Answers

Answer 1

The circumference of a circle whose area is 9π cm² in terms of pi is 6π centimeters.

What is the circumference of the circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

The circumference of a circle is expressed mathematically as;

C = 2πr

Given that the area of the circle is 9πcm², we determine the radius of the circle.

A = πr²

9πcm² = π × r²

r² = 9πcm² / π

r² = 9cm²

r = √9cm²

r = 3cm

Now, we determine the circumference of the circle.

C = 2πr

C = 2 × π × 3cm

C = 6cm × π

C = 6π cm

Therefore, the circumference of the circle is 6π centimeters.

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Related Questions

7 more than half on Eli's age is Sydney's age, 11. How old is Eli?

Answers

Answer:

8 years8 years

Explanation:

Let Eli's age be represented as x

Sydney's age = 11

half on Eli's age = x/2

7 more than half on Eli's age = x/2 + 7

If 7 more than half on Eli's age is Sydney's age, then;

x/2 + 7 = 11

Subtract 7 from both sides

x/2 + 7 - 7 = 11-7

x/2 = 4

Multiply both sides by 2;

x/2 * 2 = 4 * 2

x = 4 * 2

x = 8

Hence Eli is 8 years old

A right cylinder has a radius of 5 and a height of 9. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units

Answers

Explanation

The formula to find the surface area of a cylinder is:

[tex]\begin{gathered} SA=2\pi r^2+2\pi rh\text{ } \\ \text{ Where} \\ SA\text{ is the surface area} \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}[/tex]

In this case, we have:

[tex]\begin{gathered} r=5 \\ h=9 \end{gathered}[/tex][tex]\begin{gathered} SA=2\pi r^2+2\pi rh \\ SA=2\pi(5^2)+2\pi(5)(9) \\ SA=2\pi(25)+90\pi \\ SA=50\pi+90\pi \\ SA=140\pi \end{gathered}[/tex]Answer

B. 140π units²

What is the slope of the line that passes through the points (-4, 2)(−4,2) and (-5, 0)(−5,0)? Write your answer in simplest form.

Answers

Answer: 2

Step-by-step explanation:

      We will use the slope formula to find the slope of the line going through these two points.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{0-2}{-5--4} =\frac{-2}{-5+4} =\frac{-2}{-1} =2[/tex]

      The slope of this line is 2.

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The first of two numbers is twice the second. Seven more than the second number is equalto 6 less than the first number. Find the numbers.

Answers

Let's call x to the first number ans y to the second number.

The first of two numbers is twice the second:

x = 2y

Seven more than the second number is equal to 6 less than the first number:

7 + y = x - 6

Isolating x:

7 + y + 6 = x

13 + y = x

Combining last equation with first equation:

2y = 13 + y

2y - y = 13

y = 13

Then:

x = 2*13

x = 26

URGENT!!! PLEASE HELP ME!!!

Answers

98x1/2x4x5=63


Answer is 63

Please help I'm struggling and this is due tomorrow morning

Explain how to solve this equation I know it's 16 but I don't know how to solve it

In picture

Answers

All it’s asking for is what over 2 equals 8 so it’s technically use division.
16/2=8

Answer: to solve this equation, multiply both sides of the equation by 2.

Step-by-step explanation: by multiplying both sides of the equation by 2, you are effectively eliminating the fraction on the left, making the answer x = 16.

A roofer tosses a hammer off the roof of a house that is 12 feet above the surface of the ground. the graph shows the height above the surface of the ground, y, in feet the hammer is x seconds after being thrown from the roof

Answers

Given

A roofer tosses a hammer off the roof of a house that is 12 feet above the surface of the ground. the graph shows the height above the surface of the ground, y, in feet the hammer is x seconds after being thrown from the roof

Solution

The final answer

Option C

The figures below are congruent. Name the corresponding sides.

Answers

The figures are congruent and the corresponding sides are AC = KM, AB = KL and BC = LM

How to find congruent figures?

Congruent figures in geometry are identical in shape and size.

In other words, congruent figures are geometric figures that have the same shape and size.

If the figures are polygons, then they are congruent if all the corresponding sides and corresponding angles are congruent.

Therefore, the polygons above are triangles, they are congruent if the corresponding sides and angles are equal.

Therefore, the figures(triangles) are congruent by the following rules:

Side AC is congruent to side KMSide AB is congruent to side KLSide BC is congruent to side LM

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please help quickly.

Answers

Answer:

Step-by-step explanation:

5) Domain: -3<=x<=2

Range: 4<=y<=-3

6)  Domain: {-3,-2,-1,0,1,2}

Range: {4,3,2,1,0,-1,-2,-3}

Do you need number 7 too?

:]

Mr Tan had 2 kg of sugar
He usedkg of sugar to make dessert and kg of sugar to ooke
some cakes.
(a) What was the total mass of sugar used?
(b) How much sugar did he have left?

Answers

a) The total mass of sugar used is 1.7 kg.

b)The mass of sugar he has left is 0.3 kg.

What are fractions?

A fraction is a numerical value that represents a piece of a total in mathematics. The total can be any number, a specific value, or a single item. Fractions are denoted by the symbol p/q.

Given:

Total mass of sugar Mr tan has = 2 kg

Fraction of sugar used to make dessert = 1/4 kg

Fraction of sugar used to bake some cakes = 3/5 kg

The total mass of sugar used is determined as,

= Mass of sugar used to make dessert + Mass of sugar used to bake some cakes

Mass of sugar used to make dessert = (1/4 of 2) kg = 1/2 kg

Mass of sugar used to bake some cakes = (3/5 of 2) kg = 6/5 kg

Total mass of sugar used = (1/2 + 6/5) kg = 17/10 = 1.7 kg

Mass of sugar left with him =  Total mass of sugar - Total mass of sugar used

= 2 kg - 1.7 kg  = 0.3 kg

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The complete question is: "Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes.

(a) What was the total mass of sugar used?

(b) How much sugar did he have left?"

suppose the side length of a cube is measured to be 9 cm with an accuracy of 0.03 cm. use differentials to estimate the error in the computed volume of the cube.

Answers

By using differentials the error in the volume estimation is 7.29 cubic centimeters.

What is the error of the computed volume of the cube?

The volume of a cube (V), in cubic centimeters, is equal to the cube of the side length (L), in centimeters, whose formulas are:

V = L³

Now we proceed to estimate the volume differential by using first derivatives:

dV = 3 · L² · dL

Where dL is the length differential, in centimeters.

If we know that L = 9 cm and dL = 0.03 cm, then the error in the computed volume of the cube is:

dV = 3 · (9 cm)² · (0.03 cm)

dV = 7.29 cm³

The error in the volume estimation is 7.29 cubic centimeters.

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Three students have summer jobs. The proportional relationship between their pay and the hours they work is shown.

Student A:

Time (hours) 5 13
Pay (dollars) 67.50 175.50


Student B: $189.00 for 14 hours

Student C: The equation p = 13.5h, where p represents total pay and h represents hours worked

Which student is paid the most for 20 hours of work?

Answers

All the students are paid equal amount of $270. Therefore, no oneis paid more.

How to illustrate the information?

For student A, the amount paid for 20 hours will be:

= (67.50 / 5) × 20

= 13.50 × 20

= $270

For student B, the amount paid for 20 hours will be:

= (189/14) × 20.

= $270

For Student C, the amount paid for 20 hours will be:

p = 13.5h

where h = number of hours

p = 13.5 × 20 = $270

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Answer:

D yeyeyeye! <3

Please help ASAP, will mark brainliest!

These triangles are congruent by the triangle congruence postulate:

Answers

Answer:

SAS

Step-by-step explanation:

SAS is side, angle, side so two sides are congruent and one angle is congruent.

If you look at the picture the side that is shared by both triangles is equal.(side)

The two sides with the line through them means they're equal.

(side)

The picture shows the two angles are equal.

(angle)

=SSA or SAS

RUNNING Stella ran her first half marathon in 2.7 hours. By how many hours must Stella reduce her time to run her next half marathon in fewer than 2.3 hours? Enter an inequality to represent the situation.​

Answers

Answer:

  2.7 - h < 2.3

Step-by-step explanation:

You want an inequality to represent the relationship described by "Stella wants to know the number of hours (h) by which she must reduce her 2.7 hour half-marathon time to run in under 2.3 hours."

Inequality

If h is the number of hours by which the time is reduced, Stella wants ...

  2.7 -h < 2.3 . . . . . . . . . representative inequality

__

Additional comment

The solution would be h > 0.4. Stella must reduce her time by more than 0.4 hours.

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Question 2 of 10Classify the following triangle. Check all that apply.

Answers

Given -

To Find -

Type of Triangle =?

Step-by-Step Explanation -

As we can see we have an obtuse angle in the triangle and also, the two sides are equal.

So,

It is an Obtuse angle triangle.

It is also an isosceles triangle

Final Answer -

B. Obtuse

E. Isoseceles

Find x so that q || r.
X =

Answers

Answer:

x = 12

Step-by-step explanation:

To justify q || r :

11x - 28 + 7x - 8 = 180 because they would be supplementary angles and their sum would be equal to 180°

add like terms

18x - 36 = 180 add 36 to both sides

18x = 216 divide both sides by 18

x = 12

after cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. she estimates that there is a 35\55, percent chance that it will be too cold and a 50\pp, percent chance that it will be too hot. what is the probability that cynthia's morning porridge will be just right?

Answers

The probability that Cynthia's morning porridge will be just right is 15%.

Probability is defined as the likeliness of an event to happen. It can be determined by dividing the total number of the desired outcome by the total number of samples.

The sum of the probabilities in a probability distribution is always 1.

If there are three outcomes: too cold, just right, and too hot, then the sum of their probabilities is equal to 1 or 100%.

P(too cold) + P(just right) + P(too hot) = 100%

35% + P(just right) + 50% = 100%

P(just right) = 100 - (35 + 50)

P(just right) = 100 - 85

P(just right) = 15%

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State the law of logic that is illustrated.
4
Statement: If x > 12, then x +9>20. The value of x is 14. Therefore, x +9>20.

Answers

The given statement " If x > 12, then x +9>20. The value of x is 14. Therefore, x +9>20" is Hypotesis of a true conditional statement is true, so the conclusion is also true. This is Law of Detachment.

What is the hypothesis and conclusion of a conditional statement?

The Hypothesis is the first or “If” portion of the conditional statement or p. The Conclusion is the second or “then” part of the conditional statement or q.

What is the truth of the conditional statement when the hypothesis true and the conclusion in true?

If the hypothesis is true and the conclusion is true, the conditional statement if p, then q is true. If the hypothesis is true but the conclusion is false, the statement is false.

The following assertion "X + 9 > 20 if x > 12. X has a value of 14. Thus, x + 9 > 20 "The conclusion follows logically from the hypothesized truth of the conditional statement. This is the Detachment Law.

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PLS HELP!!!!!
31 POINTS

Answers

Here are a few answers

As the x-value increases by 20, the y-value increases by 10. Which of the following equations represents the relationship between the x and y-values

Answers

An equation which represents the proportional relationship between the x and y-values is: C. y = 2x​.

What is direct variation?

A direct variation represents two variables that are directly proportional to each other, which simply means as one variable increases, the other variable also increases and vice-versa.

How to determine the equation?

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

k is the constant of proportionality.y and x represent the variables in a proportional relationship.

Next, we would determine the constant of proportionality (k) based on the data points given:

k = y/x

k = 20/10

k = 2

Therefore, the required equation is as follows:

y = 2x

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Complete Question:

As the x-value increases by 20, the y-value increases by 10. Which of the following equations represents the relationship between the x and y-values?

A. y = 2 + x

B. y = 2 - x

C. y = 2x​

HELP PLEASE!!!!

10 points!!

Answers

The slope of a horizontal line like that is always 0 . It has no rise , and you can’t divide zero so there’s no slope.

So the slope is 0
That’s exactly what I was going to say I agree with the first person

Which ratios have the unit rate less than 1?choose all the apply

Answers

2 feet : 12/5 minutes

1/8 foot: 1 2/3 minutes

3 feet : 4 2/3 minutes

1 5/8 feet :2 minutes

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, whereas the ratio of lemons to oranges is 6:8. Ratios contrast two figures by typically dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

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a rectangular plot of ground is 30 meters longer than it is wide. Its area is 20,000 square meters. which equation will help you find the detentions?

Answers

The equation of the dimensions of the rectangular plot is W² + 30W - 20,000 = 0

How to find the dimensions of the plot of land?

Let

L = length of rectangular plot of land, W = width of plot of rectangular plot land

Since the rectangular plot of ground is 30 meters longer than it is wide, we have that

L = W + 30

Since the area of the rectangular plot is A = LW where

L = length of rectangular plot of land, W = width of plot of land

Since A = 20,000 m², we have that

LW = 20,000

(W + 30)W = 20,000

W² + 30W = 20,000

W² + 30W - 20,000 = 0

Using the quadratic formula, we have that

[tex]W = \frac{-30 +/- \sqrt{30^{2} - 4 X (-20000)} }{2 X 1} \\W = \frac{-30 +/- \sqrt{900 + 80000} }{2} \\W = \frac{-30 +/- \sqrt{80900} }{2} \\W = \frac{-30 +/- 284.43}{2} \\W = \frac{-30 +/- 284.43}{2}\\W = \frac{-30 - 284.43}{2} or \frac{-30 + 284.43}{2}\\W = \frac{-314.43}{2} or \frac{254.43}{2}\\W = -157.22 or 127.23\\[/tex]

Since W cannot be negative, we have W = 127.23

Since L = W + 30

L = 127.23 + 30

L = 157.23

So, the dimensions are

Length = 157.23 mWidth = 127.23 m

So, the equation of the dimensions of the rectangular plot is W² + 30W - 20,000 = 0

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A coin box contains $26.50 in dimes and quarters. There are 157 coins altogether. How many of each
type of coin are in the box?

Answers

Answers:   85 dimes and 72 quarters

======================================================

Work Shown:

x = number of dimes

y = number of quarters

x+y = 157 coins total

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

$26.50 = 2650 cents

1 dime = 10 cents

x dimes = 10x cents

1 quarter = 25 cents

y quarters = 25y cents

total value = 10x+25y = 2650 cents

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

We have this system of equations

x+y = 157

10x+25y = 2650

Let's solve for y in the first equation

x+y = 157

y = 157-x

Then plug this into the second equation and solve for x.

10x+25y = 2650

10x+25(157-x) = 2650

10x+25(157)+25(-x) = 2650

10x+3925-25x = 2650

-15x+3925 = 2650

-15x = 2650-3925

-15x = -1275

x = -1275/(-15)

x = 85 is the number of dimes

Then use this to find the value of y

y = 157-x

y = 157-85

y = 72 is the number of quarters

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

Check:

85 dimes + 72 quarters = 157 coins total

85 dimes = 85*10 = 850 cents

72 quarters = 72*25 = 1800 cents

850 cents + 1800 cents = 2650 cents = $26.50

This confirms the answers.

Answer:

so 85 dimes and 72 quarter coins are in the box

Step-by-step explanation:

Given; Total number of coin =1557 Total amount money =26.50 To find Number of dimes and quarters in the box. In order to find the solution, make equation of number of coin and amount money. solve for unknown.Let, Number of dimes = x Number of quarters = y As, it is given that total number of coin is 157. x + y = 157 ......(a) Also, the total money is $ 26.50. .. 0.10x+0.25y = 26.50 ..(b)To, solve equation (a) & (b), put value of y from (a) to (b); From (b); From (a); y= 157 0.10x+0.25(157 - x) = 26.50 0.10x+39.25 - 0.25x = 26.50 0.15x+39.25 = 26.50 39.25 26.50 = 0.15x 12.75 = 0.15x 12.75 0.15 = x 85 = x Now, put value of x in equation (a); x + y 85+ y = y= 72

Lilly has a bag only containing blue beads and purple beads.
3/8 of the beads are blue.
If there are 9 blue beads in the bag, how many beads are purple?

Answers

Answer:

15 purple beads

Step-by-step explanation:

Calculate total beads

[tex]\frac{9}{\frac{3}{8} } =\frac{72}{3} =24[/tex]

Calculate how many beads are purple

[tex]24-9=15[/tex]

Hope this helps

There are total 15 purple beads.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

given:

Fraction of blue beads = 3/8

Total blue beads = 9

let the total number of beads be x.

So, 3/8x = 9

x= 9. 8/3

x= 72/3

x= 24

So, number of purple beads = 24 -9= 15 beads

Hence, there total 15 purple beads.

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difference between a number and its positive square root is 12.find the number

Answers

Answer:16

Step-by-step explanation:

x-[tex]\sqrt{x}[/tex]=12

x=16

Help me with this please

Answers

Answer:

first plot the positive 2 on the y axis

plot (0,2)

Then from (0,2) go up 2 and right 2.

Answer in attached image

Mayumi rides her bike around a park. Each lap around the park is 2/3 mi. Mayumi rides a total of 3 mi. how many laps around the park does Mayumi ride?

Answers

Mayumi took 4.5 laps by riding her bike around the park

Distance of each lap around the park = 2/3 miles

Distance covered by Mayumi = 3 miles

Fractions: The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It specifies the number of equal portions of the whole or collection that are taken.

Laps took by Mayumi:

Distance covered by Mayumi on her bike/Distance of each lap around the park

= 3/(2/3)

= 3*3/2

= 9/2 or 4.5 laps

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There are 8 batteries in a package of AA batteries, and 12 batteries in
a package of AAA batteries. If you buy 10 packages of AA batteries and
6 packages of AAA batteries, how many batteries would you have?

A- 156 batteries
B- 36 batteries
C- 152 batteries

Answers

Answer:

C. 152

Step-by-step explanation:

8 × 10 + 6 × 12 = 80 + 72 = 152

10 x 8 = 80 6 x 12 = 72 72+80 = 152 therefore the answer is 152

A car’s velocity increases from 4.2m/s to 14.8 m/s, E, in 2.5 sec. What is its acceleration?

Answers

Answer:

4.24ms-²

Step-by-step explanation:

S: x. write suvat and sub in values

u:4.2

v:14.8

a:?

t:2.5

use correct equation

v=u+at

sub values in

14.8=4.2+2.5a

rearrange to get a

10.6/2.5= a

a=4.24

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