Mathematics High School

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

Answers

Answer 1

Answer:

9π meters

Step-by-step explanation:

SInce 6π is the circumference of the circle, 6π would be the diameter.

We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.

The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:

π3^2

9π

Answer 2

Answer:

Area=9π m²

Step-by-step explanation:

Hi there!

We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle

The formula to find the circumference of a circle is 2πr, where r is the radius

The formula to find the area of a circle is πr², where r is the radius

So we need to find the radius

As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as  transitivity (if a=b and b=c, then a=c) .

As an equation, the result is:

6π=2πr

Divide both sides by 2π

3=r

So the radius is 3 meters

Now, substitute 3 as the radius in πr² to find the area

A=πr²

A=π(3)²

Raise 3 to the second power, which is the same as multiplying it by itself

A=π*9

A=9π m²

Hope this helps!

Related Questions

To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?

Answers

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

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DESPERATELY TRYING TO LEVEL UP

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JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

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PLS HELP THIS IS DUE TODAY

Answers

Answer: You can find after i explain how

Step-by-step explanation:

Add the x's together

So the problem is 6x + 1 =

This is a triangle so it = 180

6x + 1 = 180

__________

Subtract 1 from itself so 6x crosses out

Then subract 1 from 180

Which = 179

Now, divide 6 from both sides 6x is crosses out

You are left with x = (the number you got when dividing 179 / 6)

(6e−3f−4)⋅2= what is the answer for this?

Answers

Answer:

12e-6f-8 is the answer

Step-by-step explanation:

did work on peice of paper

Answer:

12e - 6f - 8

Step-by-step explanation:

By using the distributive property,, the answer is

(6e x 2) - (3f x 2) - (4 x 2)

12e - 6f - 8

In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped
to 90 litres of fuel per passenger. What is the percentage reduction in fuel used? Give you
answer to the nearest whole percentage.

Answers

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

the sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8​

Answers

Answer:

313/7

Step-by-step explanation:

Here, we are interested in turning the wordings of the statement to numeric values.

We take it one at a time.

Sum of 35 and 1/5(35) = 35 + 7 = 42

This is added to 1/7(11 + 8)

= 1/7(19) = 19/7

So we have;

42 + 19/7 = (294 + 19)/7 = 313/7

help me plz plz....​

Answers

Answer:

4775.9 [tex]cm^3[/tex]

Step-by-step explanation:

To find the volume of a cone use the expression [tex]\pi r^2\frac{h}{3}[/tex]

r = radius

h = height

Now substitute h for 27 and r for 13, [tex]\pi 13^2\frac{27}{3}[/tex]

First do 13 x 13 (because of the exponent), then divide 27 and 3, which is 9

169 x 9 = 1521

Lastly multiply by pi or use 3.14

1521 x 3.14 = 4775.94

Since it asks to round to the tenth it is just 4775.9

Answer:

4778.4 cm^3

Step-by-step explanation:

The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3} \\[/tex].

In this case, the height is 27 and the radius is 13, so we plug in the values and get [tex]V = \pi (13)^2 \frac{27}{3}\\[/tex].

We solve and get the volume of the cone as [tex]1521\pi[/tex] or 4778.4 cm^3.

Proportion problems
8 chickens would lay 20 eggs in 3 days.
If chickens always lay eggs at the same rate,
a) how many days would it take to chickens to lay 100 eggs?
= 10 days
b) how many chickens would be required if a farmer needed 30 eggs each day?
i need help how to do question b. i know answer bu,.t i need explaining.
:]

Answers

Ok so u know the answer is 12 right. The answer would be that we need 12 chickens to lay 30 eggs a day because 4+4= 8 chickens 10+10= the 20 eggs in three days. So adding 4 more chickens would be 12 chickens which would add another 10 eggs making it 12 chickens laying 30 eggs a day

— 12 — бр – (-2)
HELP ASAP

Answers

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6р - (-2)

~Combine like terms

-10 - 6p

Best of Luck!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

Last year, there were 245 pies baked for the bake sale. This year, there were k pies baked . Using k, write an expression for the total number of pies baked in the two years.

Answers

Answer:

245 + k

Step-by-step explanation:

Since we know that,

245 = amt. of pies baked for the bake sale last year.

--> and k = (unknown) amt. of pies baked for the bake sale this year.

Using k, we need to write the total amt. of pies baked for bake sales in the 2 years.

last year + this year =>

respectively, 245 and k

Thus, we get 245 + k

Find the solutions to $x^2 + 64 = 0.$[tex]Find the solutions to $x^2 + 64 = 0.$[/tex]

Answers

Answer:

x=8i,\:x=-8i

Step-by-step explanation:

x^2+64-64=0-64

x^2=-64

x=\sqrt{-64},\:x=-\sqrt{-64}

x=8i,\:x=-8i

Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Answers

Answer:

22.8

Step-by-step explanation:

I just did the math :)

The mean of a given set of data is 22.8.

What is the arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Here, n = 21

⇒ ∑x = Sum of Observations

⇒ ∑x = 478.8

Mean = ∑x/n

Mean = 478.8/21

Mean = 22.8

Hence, the mean of the given data is 22.8.

Learn more about what Arithmetic means here:

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5/6 = b/12 help please

Answers

Answer:

[tex]b = 10[/tex]

Step-by-step explanation:

We can use the cross products property and solve for b.

[tex]\frac{5}{6} = \frac{b}{12}\\\\\\b=(12\cdot5)\div6\\b=60\div6\\b=10[/tex]

Hope this helped!

Answer:

The answer is b=10

Step-by-step explanation:

All you need to do is think 12/6 is what, the answer would be 2, then you would multiply the numerator by 2, which would be 5*2 which is 10.

Thank you, Hope this helps you.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

D. 1:5

Step-by-step explanation:

3 students went to the zoo

15 students went to the aquarium, which is no the zoo

students who went to the zoo : students who did not go to the zoo =

= 3:15

Now we simplify the ratio by dividing both numbers by 3.

= 1:5

Answer: D. 1:5

Suppose the graph in part A can be represented by the function f(x)=1.5x+750/x . What is the domain of this function? Consider the context of the function in your answer.

Answers

Answer:

Domain:  

( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }

Step-by-step explanation:

i used math. way for help

Solve A=1/2(bh) for h

Answers

Answer: 2A/b = h

Step-by-step explanation: First, get rid of the fraction by multiplying both sides of the equation by 2. That gives us 2A = bh.

Don't be thrown off by the capital A in this problem.

Just treat it like any other variable.

To get h by itself on the right side of the equation, we now simply

divide both sides of the equation by b and our answer is 2A/b = h.

Take a look back at the formula now in the

original problem, A = 1/2bh, does that look familiar?

What’s the function of the Unit Circle and why is it called the unit Circle?

Answers

Answer:

It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.

Step-by-step explanation:

what is the answer to -22/9r = 11/9

Answers

Answer:

2

Step-by-step explanation:

for this question you've to cross multiply

-22/9r=11/9

99r=-198

then you divide both sides by 99 inorder to remain with r on one side

99r/99=198/99

r=2

I hope this helps

Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?

Answers

Answer:

Chemistry

Step-by-step explanation:

To solve the above question, we use the z score formula

Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.

a) Chemistry Exam

On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (45 - 30)/5

z = 15/5

z = 3

b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

Comparing the z score of both Exams,

Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.

Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.

What is the factorization of 2x^2 + 5x + 3?
A. (x+3)(x + 3)
B. (x+3)(x + 1)
C. (2x+3)(x + 1)
D. (2x + 3)(x + 3)

Answers

Answer:

( 2x +3) (x+1)

Step-by-step explanation:

2x^2 + 5x + 3

2 factors to 2 and 1

3 factors to 3 and 1

We need to get 5x in the middle

( 2x +3) (x+1)

2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?​

Answers

1 kg of orange costs $0.56

Work:
2.5/1.40 = 1/x

- Cross-multiply
2.5x ÷ 2.5 = x
1.40 ÷ 2.5 = 0.56
x = 0.56

what is 2/5 divided by -1/2 minus 3/2

Answers

Answer:

[tex] - \frac{23}{10} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]

➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]

➡️ [tex] - \frac{23}{10} [/tex]

3T-2 + T -5T= -1
Solve it out please

Answers

Answer: T = -1

Step-by-step explanation:

**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.

Given

3T - 2 + T - 5T = -1

Combine like terms

-T - 2 = -1

Add 2 on both sides

-T - 2 + 2 = -1 + 2

-T = 1

Divide -1 on both sides

-T / (-1) = 1 / (-1)

T = -1

Hope this helps!! :)

Please let me know if you have any questions

Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).

Answers

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

What is PEDMAS Rule?

PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

Given

7 + (5 – 9)2 + 3(16 ÷ 8)

By using PEDMAS rule,

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= 7 - 8 + 6

= -1 + 6

= 5

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

Find out more information about PEDMAS rule here

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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,

⇒ 29

Since, We knw that,

PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

We have to given that,

Expression is,

7 + (5 - 9)² + 3(16 ÷ 8)

Now, Simplify By using PEDMAS rule,

= 7 + (5 - 9)² + 3(16 ÷ 8)

= 7 + (-4)² + 3(2)

= 7 + 16 + 6

= 23 + 6

= 29

Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29

Learn more about the equation visit:

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ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

[tex]\huge\boxed{x = 36\°}[/tex]

Step-by-step explanation:

According to secant angle theorem:

[tex]x = \frac{1}{2} (mCDF-mBJH)[/tex]

Where mCDF = 140 , mBJH = 68

[tex]x = \frac{1}{2} (140-68)[/tex]

[tex]x = \frac{1}{2} (72)[/tex]

x = 36°

a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go

Answers

answer:

648 km

Explanation:

d = v x t
d = 72 x 9
d = 648 km

Answer:

648 km

Step-by-step explanation:

distance travelled= speed * time

distance= 72kph * 9 hours

distance= 648 km

The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?

Answers

Answer:

Loudness (L) = 6.48 dB

Step-by-step explanation:

Given:

Loudness (L) = k / d² , where k = constant

So,

70 = k / 14²

k = 13,720

New distance = 46 feet

Find:

Loudness (L) = ?

Computation:

Loudness (L) = 13,720 / 46²

Loudness (L) = 13,720 / 2,116

Loudness (L) = 6.48 dB

Solve for a. Worth 10 pts!
[tex] \frac{1}{5} a - 5 = 20[/tex]
​

Answers

1/5a-5=20
+5. +5
1/5a=25
Divide 1/5 on both side
a=125

Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct

one tree is 6 feet tall. Another tree is 3 1/4 feet tall. How much taller is the larger of the two trees?

Answers

Answer:

2 3/4 feet

Step-by-step explanation:

PLEASE HELP ME !!!!!!!!!!!!!!!!!

Answers

Answer:

  2

Step-by-step explanation:

The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...

  S = a1/(1 -r) 1/(1 -1/2) = 2

The sum of the series is 2.

___H2 + ___Br2 → ___HBr

Answers

Answer:

H2+Br2 HBrH2+Br2. 2HBr
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