Mathematics Middle School

Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.

One sector has an area of 210 square centimeters and an arc measure of 30°.

_____________ cm squared

Answers

Answer 1

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²

Related Questions

Fill in the blanks to complete the description of the graph of x > −8. The graph is a number line with a(n) ____ circle at ___ and the shading extends from that point to the _____.

ANSWER CHOICES:
None of these
closed; −8; right
open; −8; left
closed; −8; left
open; −8; right

Answers

Answer:

Step-by-step explanation:

open -8 pointed to the right

It would be D open; -8; right

Use digits and symbols to write ''The product of three and five is greater than the sum of three and five

Answers

Answer:

3*5>3+5

Step-by-step explanation:

product of three and five

3*5=15

sum of three and five

3+5=8

So,

3*5 > 3+5

3*5>3+5
Step-by-step explanation:
product of three and five
3*5=15
sum of three and five
3+5=8
So,
3*5 > 3+5

Banana Cupcakes
makes 10 cupcakes

1 cup granulated sugar

cup vegetable oil

1 large egg

4 tablespoons sour cream

2 medium-sized ripe bananas, mashed

1 cups all-purpose flour

1 teaspoon baking soda

teaspoon salt

1 teaspoon vanilla extract

pinch of nutmeg

You will use the recipe above to answer the following questions:

This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?

Answers

Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.

Step-by-step explanation:

Here we have a recipe that works for 10 serves.
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.

Hope this helped

I almost broke my brain doing this so can you give me brainliest answer please thank you

♡Solve the following expression when...
F = 3
7 + 4 + f^2 - 5f + 2
Please help asap!! Tysm!!♡

Answers

Answer: hope this helps ♡

Step-by-step explanation:

f = 3

7 + 4 + f^2 - 5f + 2

= 7 + 4 + 3² - 5*3 + 2

= 7 + 4 + 9 - 15 + 2

= 20 - 15 + 2

= 5 + 2

= 7

7
Because it is, have a goid day

HELP!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!

A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.

Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the mean?

Answers

Answer:

Didn't study: 76%

Mean absolute deviation: 11.2

Step-by-step explanation:

To find the mean, add all the scores from the people who didn't study and divide them by 12 (the total number of students who didn't study). You will get 76%To find the MAD, use the formula for MADTo answer the third, line them up in order. 45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91. MAD is the average difference between the numbers. So, to find this answer, subtract two of the MAD's from the mean of 76%. 76-22.4 = 53.6. So, only one is more than two MAD's away from the mean of 76%.

92.5 is the answer for part 1

Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.

a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.

Answers

well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.

Answer: 36 is wrong

Step-by-step explanation: 360 - 36 = 324 degrees

Mrs.Timmons displays a drawing of an object and asks her studentsvto calculate the number of cubic units the object contains. What is Mrs.Timmons asking her students to calculate?

Answers

Answer:

volume

Step-by-step explanation:

cubic units means volume

Answer:multiply the value of each dimension (ength, width, and height

Step-by-step explanation:

What's the answer to this? I can't figure it out especially without remembering the formula.

Answers

Answer: I would put (9m)

Step-by-step explanation:

Put (9m)

Jsuansizixwnweixis

Which type of plant is small and lives in a wet environment? club moss, hornwort, fern, horsetail PLS HELP ASAP

Answers

Answer:

Moss

Step-by-step explanation:

Moss lives in a wet environment

Club Moss, A.

Hope this helps! :)

Choose the three equivalent forms of 4.625.

four and five eighths, 462.5%, thirty seven eighths
four and six twenty fifths, 4.625%, thirty seven eighths
four and five eighths, 4.625%, forty five eighths
four and six twenty fifths, 462.5%, forty five eighths

Answers

Answer:

Step-by-step explanation:

4.625%- percents and decimals are the same

four and five eighths- five divided by eight is (.625) and 4+ (.625) is 4.625

thirty seven eighths- 37 divided by 8 is 4.625

462.25% is the answer

Arya and Cody each manage a landscaping business. The equation y=15x+30 represents the cost, y, of x hours of landscaping through Arya’s business. The table shows the cost, y, of different x hours of landscaping through Cody’s business.

Answers

Answer:

x(intercepts) (-2,0) y(intercepts) (0,30)

Porfavor me ayudan en matematicas

Answers

Answer:

2.5x

Step-by-step explanation:

PLS ANSWER>>>>>> I NEED ANSWER NOW!!!!

Answers

Answer:

c) Punishments in the Code of Hammurabi were adjusted depending on the status of the perpetrator and the victim.

Step-by-step explanation:

The Code of Hammurabi reflected the social hierarchy of ancient Babylonia in that it differentiated punishments based on the social status of the perpetrator and the victim. For example, the code stipulated different punishments for crimes committed by a nobleman versus those committed by a commoner. This demonstrates that ancient Babylonian society was structured into a hierarchy, with different levels of privilege and responsibility assigned based on social status. The Code of Hammurabi, then, serves as a tangible expression of this social hierarchy, showing the ways in which the laws of the land reflected and reinforced existing power dynamics.

Answer: c

Step-by-step explanation:

Name the polygon show by the banner at the right. Determine if it appears to be regular or not regular.

Answers

Answer:

the name is isosceles triangle and it is not regular

Step-by-step explanation:

Answer:

it's a isosceles triangle and its not regular

Step-by-step explanation:

The value of the nth term in a sequence of numbers is given by the expression, 4n – 10. What is the 5th term in the sequence?

Answers

Correct Answer:
10

Explanation:
If the nth term in a sequence of numbers is given by the expression, 4n - 10, then the fifth term of the sequence is 4n - 10 = 4(5) - 10 = 20 - 10 = 10

I would appreciate it if you mark my answer as brainliest.

The value of the 5th term in the sequence as per the expression will be equal to 10.

What is the arithmetic sequence?

Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is. Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).

As per the given information in the question,

The given expression is,

4n - 10

Then, the 5th term will be,

= 4(5) - 10

= 20 - 10

= 10

To know more about the arithmetic sequence:

https://brainly.com/question/15412619

#SPJ2

The ordered pairs below represent a linear function.

(3/4, 6 1/4), (1 1/4, 7 3/4), (x, y)

Which values could be the value of x and y?

Answers

Answer:

x can be any real number, and y is the corresponding number according to the function y=3x+4

Step-by-step explanation:

We find the function first, by finding the slope.

Using this formula, m= (y1-y2)/(x1-x2)

= (31/4 - 25/4)/(5/4 - 3/4) = 3/2÷1/2 = 3

Now we can find the y-intercept by substituting it as b, and x and y as one of the points.

y=mx+b

25/4=9/4+b

b=4

And now you fill out the format, y=mx+b with your newfound values of m and b,

y=3x+4

From this function, you can input any real number (x) and get your corresponding value (y).

I think the answer would be Y=3x+4

Becky takes out a loan for $5,000. She plans to repay the loan in 8 years. The interest rate is 7.3% compounded annually. How much will she have to pay in interest?

Answers

We can solve this equation by simply doing:
(0.073 x 5,000) x 8
$2920 is our total interest :)

Answer:

$3785.53

Step-by-step explanation:

You want the interest amount due at the end of 8 years on a $5000 loan at 7.3% compounded annually.

Future value

The amount due is multiplied by (1 +0.073) each year. After 8 years, the amount due will be ...

5000(1.073^8) ≈ 8785.53

Of that, 5000 is the principal amount, so the remainder is interest.

interest = $8785.53 -5000

interest = $3785.53

Becky will have to pay $3785.53 in interest.

<95141404393>

Becky takes out a loan for $5,000. She plans to repay the loan in 8 years. The interest rate is 7.3%

if you had 0 apples and divided them between no body you get how much would you get
answer: none and you are sad because you have no friends

Answers

Answer:

Step-by-step explanation:

Are you tryna be Siri are something

2 + 432687464583674326742368972674387643672353464237675693267796867234674952674267457496746927764357467365437948367528675296673768566 = HELPPP MEEE

Answers

Answer:

Step-by-step explanation:

the answer is 432687464583674326742368972674387643672353464237675693267796867234674952674267457496746927764357467365437948367528675296673768568

Answer:

4.326875e+128

Step-by-step explanation:

4.326875e+128

Solve and explain each step

Answers

With replacement
3marbles in total(1red ,1blue,1green)
If two are chosen:(possible chosen-Red and green or blue and green or blue and red)

So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr(blue and green)
(1/3 x 1/3) + (1/3 x 1/3)
1/9 + 1/9
2/9

Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 x 1/2) + ( 1/3 x 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3

With replacement
3marbles in total (1red , 1blue, 1green)
If two are chosen: (possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr (blue and green)
(1/3 × 1/3) + (1/3 × 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 × 1/2) + (1/3 × 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3

Please Help
I need an answer ASAP

Answers

i believe the the answer is 27

I believe it’s right to

Which of the following numbers is an outlier in this set of data:
65, 68, 8, 72, 58, 77

Answers

Answer:

Step-by-step explanation:

Its the odd one out

It is 8 I think lmk if I’m right

Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much taller the actual Eiffel tower than the action space Needle? Show your work

Answers

Space needle is around 600!

Point A has the coordinates (4, 3). If you reflect A across the x-axis to point A′, what are the coordinates of A′? Question 18 options: A) (–4, –3) B) (4, –3) C) (–4, 3) D) (4, 3)

Answers

Answer:

B (4, -3)

Step-by-step explanation:

The x-axis

(x,y) → (x,-y)

(4,3) → (4, -3)

Reflection is a type of transformation that flips a shape in a mirror line so that each point is the same distance from the mirror line as its reflected point.

The point A = (4, 3) with a reflection across x-axis gives A' = (4, -3).

Option B is the correct answer.

What is a reflection?

Reflection is a type of transformation that flips a shape in a mirror line so that each point is the same distance from the mirror line as its reflected point.

We have,

Point A = (4, 3)

It is reflected across the x-axis.

The reflection across the x-axis is given by:

P(x, y) → P' (x, -y)

Point A = (4, 3) reflected across x-axis is Point A' = (4, -3)

Thus the point A = (4, 3) with a reflection across the x-axis gives A' = (4, -3).

Learn more about reflections here:

https://brainly.com/question/15487308

#SPJ2

7th grade trains… uhh yeah.

Answers

Answer:

The train travels 578 miles in total.

Step-by-step explanation:

Since the train travels 68 miles per hour and travels for 8.5 hours, 8.5x68 = 578

578 miles total……………….

Suppose a certain breed of dog loses about 75 hairs per day. What integer represent this change in the amount of hair per week write a mathematical argument that can be used to defend your solution

Answers

Answer:

75 hairs/ day = 525 hairs / week

Step-by-step explanation:

so your base question for this is 75 hairs/ day =? h/ week. how? if the dog is losing 75 hairs per day, then you would do 75 x 7 becuase there are 7 days in a week. the answer to that would give you how many hairs the dog was losing per week. (see attached image for reference)

Hope this helps!

#MRS

Suppose a certain breed of dog loses about 75 hairs per day. What integer represent this change in the

75x7 is the amount which is 525 hairs per week.

in a survey of 3,100 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of people of the people surveyed were satisfied with the car?

Answers

The percent of people of the people surveyed were satisfied with the car is the percent of people of the people would buy that type of car again, so we have: 2015 ÷ 3100 × 100% = 65%

ANSWER: 65%

Ok done. Thank to me :3

Answer:

2015 / 3100%= 65%

Step-by-step explanation:

You could never tell how many people there are in this world. So that is why the 3100 should have a percentage which is divided by 2015, equals 65%.

Please Hurry. I need this answer quickly please.

Answers

Answer:63

Step-by-step explanation:

multiply 72 by 7 then divide i by 8

(72×7)/8

=63

It's 63.

simplify the equation 7/8×72 multiple 7×9 solution is 63

I need help, please quickly

Answers

Answer: The ratio is 18:3

Step-by-step explanation:

Answer: 6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Caitlin is making oatmeal cookies
She wants to make 1 1/2 batches
Each batch of cookies requires 2 1/2 cups of oatmeal
She has 3 1/4 cups of oatmeal
How many more cups of oatmeal does Caitlin need?

Answers

Answer: She needs 1/2 a cup of oatmeal

Step-by-step explanation:

step 1. turn the 2 1/2 into a decimal to get 2.5

step 2. divide the decimal in half to get 1.25

step 3. add 2.5 + 1.25 = 3.75

step 4. take that answer and subtract it by how much oatmeal you have (3.25) to get 0.5 this means that you need half a cup of oatmeal to make 1 1/2 batches of oatmeal cookies

Answer:

1/2 cups

hope you like it : )

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Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary. One sector has an area of 210 square centimeters and an arc measure of 30°. _____________ cm squared

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Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.

One sector has an area of 210 square centimeters and an arc measure of 30°.

_____________ cm squared