A circle has a radius of 8. Find the area of a sector of this circle that is intercepted by central angle measuring pi over 7

Answers

Answer 1

Answer:

14.4 square units

Step-by-step explanation:

Keep in mind that the area here is a fraction of the area of a full circle of radius 8.

(area of sector) = (fraction)(pi)(8)^2

The fraction is the given central angle (pi over 7) divided by 2pi:

       pi            1

   --------- * ----------- = 1/14

     7             2pi

Multiply the formula     (fraction)(pi)(8)^2     found above by this fraction:

area of sector = (1/14)(pi)(8)^2  =  14.4 square units


Related Questions

one angle of a right triangle measures 80 degrees. what is the measure of the other acute angle

Answers

Answer:

10 degrees

Step-by-step explanation:

Since a right angle is 90 degrees in total, to find the missing degree subtract 80 from 90.

90-80=10 degrees

Hope this helps

could someone please check my work! no files please and thank you!

Answers

Answer:

It looks fine well done

3.5(10n + 2n - 9) = 178.5

Answers

Answer:

n= 5

Step-by-step explanation:

3.5 (10n + 2n-9) = 178.5

Divide 3.5 on both sides

10n + 2n -9 +51

Add like terms to get 12n

12n - 9 = 51

12n = 51 + 9

Add 51 and 9 to get 60

12n + 60

Divide 60 by 12 to get 5

n=5

find the distance between each pair of points (-3,4) (2,6)

Answers

Answer:

≈ 5.4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]

   = [tex]\sqrt{5^2+2^2}[/tex]

   = [tex]\sqrt{25+4}[/tex]

   = [tex]\sqrt{29}[/tex]

   ≈ 5.4 ( to 1 dec. place )

How do you do the Pythagorean Theorem? Also how do you do it with one leg and hypotenuse? Also how do you do it with 2 legs and no hypotenuse?

Answers

Answer:

Pythagorean Theorem = a^2 + b^2= c^2

Step-by-step explanation:

(3)^2+ (4)^2 = C

3^2= 9

4^2= 16

9+16=25

(2 legs no hypotenuse)

9^2+ b^2=7^2

9^2 = 81

7^2= 49

81-49= 32

(you have to sqaure root it because the oppsite of sqaured is sqaured root)

32 squared = 5.657

and rounded is 5.7

PLEASE HELP ME!! I NEED HELP FAST!

Question 3 (10 points) (08.03/08.05 MC) A pair of equations is shown below:

y = 7x - 8
y = 5x – 2

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)​

Answers

Answer:

part A) rearrange the equations to form simultaneous equations:

y-7x=8

y-5x=-2

now eliminate the y values by minusing the two equations:

(y-7x=8)-(y-5x=-2)

to get:

-2x=-6

x=3

now substitute x into one of the equations to get y:

y=5x-2

y=15-2

y=13

[tex]x = 3 \\ y = 13[/tex]

part B) the lines will intercept at (3, 13)

Step-by-step explanation:

hope this helps!

Drag each scenario to the correct location on the table. Classify the scenarios based on whether they are observational studies, experiments, or surveys. Scenario A: Twenty employees of a company are randomly selected and asked if they would like the company to revise the existing dress code. Scenario B: Analysts at an energy research institute compare the frequency of power outages caused by snowfall in different states over the past decade. Scenario C: To determine and compare the accuracies of pedometer X and pedometer Y, researchers randomly ask consumers to use one of the two pedometers and then analyze the results. Scenario D: At a coffee shop, ten customers are randomly selected each day and asked how many times in a week they visit the shop.

Answers

Answer:

have a nice day loves <3

Step-by-step explanation:

picture below

Answer:

Step-by-step explanation:

rotate the given triangle 180° counterclockwise about the origin. Help!!!!​

Answers

Answer: (read vertically) [0,0/3,-1/-5,-2]

Step-by-step explanation:

[-1, 0] times [0, -3, 5]

[0, -1] [0, 1, 2]

hopefully this makes sense.

The rotated triangle by 180° counterclockwise about the origin is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

How to rotate the triangle?

The coordinates of the triangle are given as:

[tex]\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right][/tex]

The rotation is given as:

180° counterclockwise about the origin.

The rule of 180° counterclockwise about the origin is:

(x,y) ⇒ (-x,-y)

Using the above rule, we have:

[tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Hence, the rotated triangle is [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Read more about rotation at

https://brainly.com/question/16691874

#SPJ6

Solve for x
4/x = 2/7

Answers

the answer is 14

x=14

Find the GCF of 4x3and7x5

Answers

Answer:

GCF of 4 x 3 should be 1

GCF of 7 x 5 should also be 1

Hope this helps, and sorry if it is incorrect, there isn't very much context to this question!

the picture has the question

Answers

Answer:

A:80 FT

Step-by-step explanation:

just did it

How many solutions does the following system of equations have?

One Solution
O No Solutions
Infinitely Many Solutions

Answers

Answer:

I think its two eqautions

Answer:

b

[tex]\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

got ukmt jmc tommorrow? Any tips/help

Answers

Answer:

be brave and stay wild

Step-by-step explanation:

tips

For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90 ​

Answers

To find the monthly difference in median income find the median income of a woman with a bachelor's degree and one without it then subtract. To find the hourly difference find the hour income of women and men with an advanced degree and then subtract.

What is the median?

The median refers to the value that is placed right in the middle of other values. For example, if the values are 5, 9, 4 the median is 9.

How to solve the first question?

This question requires you to:

Find the median of a woman with a bachelor's degree and one with only high school and some college. To do this look for the values placed in the middle.Subtract both values.

How to solve the second question?

This quetion requiers you to:

Find the hourly income of a man and a woman with an advanced degree. To do this divided the week or monthly income into the number of hours they work.Subtract the two results to find the difference.

Note: This question is incomplete because there is no information provided about women's income; due to this, I answered based on general knowledge.

Learn more about median in: https://brainly.com/question/300591

Answer:

the answer is 86

Step-by-step explanation:

i did the assignment on gradpoint

In the figure to the right, if AC = 21 and BC = 18, what is the
radius?

Answers

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

1,500 people were surveyed and 30 out of every
100 people surveyed have freckles. Based on the
results of this survey, how many people do not
have freckles?

Answers

So since 1,500 people were surveyed and 30/100 have freckles, you would multiply both sides by 15 to get 450 and 1,500. So that means 450 people who took the survey have freckles i believe, so then you would subtract 1,500-450 and you are left with 1,050. The answer should be 1,050.

Greater to least 9.5,93/8, 9.25,93/4

Answers

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

PLEASE HELP!! ILL MARK BRAINLYEST!!


Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?

A. histogram
B. bar graph
C. circle graph
D. line graph

Answers

Answer:

Bar graph

Step-by-step explanation:

if it helps don't forget to like and mark me down

Answer:

Bar Graph

Step-by-step explanation:

If f(x)= 9x^2+2x-3, find f(-1).

Answers

Answer:

f(-1)= 4

Step-by-step explanation:

Just plug -1 into all Xs

and split it into 2 seperate problems for the time being

[9 times (-1)^2] + [2(-1)-3]

-1 squared is positive 1  times the 9 is just 9

Plus  2 times -1 is -2 minus 3 is -5

combine the two seperate problems you have

9-5 the subtract and

f(-1)= 4

Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell? 4 small and 13 large candles 5 small and 12 large candles 12 small and 5 large candles 13 small and 4 large candles

Answers

Answer:

The number of large size candles sells are 12 and the number of small size candles are 5 .

Step-by-step explanation:

As given Sia sells large candles for $3 each and small candles for $2 each.She sold 17 candles for $46.00.Let us assume that the large size candle sells are x .Let us assume that the small size candle sells are y.             Equation becomes

x + y = 17

3x + 2y = 46

Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .

3x - 3x + 2y - 3y = 46 - 51

-y = - 5

y = 5

Put in the equation x + y = 17 .

x + 5 = 17

x = 17 - 5

x = 12

Therefore the number of large size candles sells are 12 and the number of small size candles are 5

If a point is randomly selected from the area under the curve, what is the probability that it will be in the black region?
A) 0.5
B) 1.0
C) 1.5
D) 2.0

Answers

Answer:

A) 0.5

Step-by-step explanation:

The probability between 0 and 3 is 0.49865

The probability of 0 or less (≤ 0) is 0.50000

Took the test on USA Test prep

Terry has 3 pairs of pants (black, khaki, and brown) and 4 shirts (yellow, red, blue, and white). He does not care which colors he wears together. How many different outfits can Terry make

Answers

Answer:  12 different outfits

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

Explanation:

We simply multiply the values given to us. Think of a table that has 3 rows and 4 columns. The rows represent the different colors of pants Terry can wear. Each column is a different color shirt. Since we have 3 rows and 4 columns, we have 3*4 = 12 cells inside the table. Each cell represents a combination of pants and shirt colors. This means there are 12 different outfits possible.

Answer:

12

Step-by-step explanation:

if he has 3 pairs of pants and doesn't care what colors he wears then each shirt can go with the pants once and since there a 4 shirts and three pants then 3 times 4 =12

Pls help asap thx
...​

Answers

Answer:

70

Step-by-step explanation:

35 times 4 = 140. 210-140= 70

A chemist has a 100 gram sample of a radioactive
material. He records the amount of radioactive material
every week for 6 weeks and obtains the data in the
table below.


look at the picture please <3 i really need this asap

Answers

Answer:

75

Step-by-step explanation:

did it 5 mins ago

Can you find the missing measure

Answers

Answer:

for which one

Step-by-step explanation:

help me with this please

Answers

It’s the last one. b < c < a

PLEASE HELP ME ANSWER BESTIES !!!

Answers

Your not my bestieeee but the answer from me is unkown i jus want to be able to answer one question :)

I would say 12 and 14 because if you were to evaluate that square root, you would get −13.0384048104 and that would lie between 12 and 14.

If I'm wrong, sorry.

Please help I'll mark brainliest

Answers

Answer:

okay...... where is the question

where is the question?

Isaac paid $81 for a new surfboard. The amount paid was 60% of his total savings. How much money did he have in his savings before buying the surfboard?

Answers

Answer:

$135

Step-by-step explanation:

Given data

Amount paid for new surfboard= $81

Percentage of the savings paid= 60%

Let the amount of the savings be x

Hence

60% of x= 81

60/100*x= 81

0.6x=81

x= 81/0.6

x=$135

Hence his savings was $135

what is the volume of the triangular prism below ​

Answers

Answer:

246.2

Step-by-step explanation:

Hope this helps!

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