The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.


6 Acirde shown below.bas center C What is the area of the shaded region?​

The Area Of Sector A08 Is 48x And M&lt;AOB = 270. Find The Radius Of Circle O. 6 Acirde Shown Below.bas

Answers

Answer 1

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:

[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:

[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:

[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of

[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is

[tex]A_t=50m^2[/tex]

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.


Related Questions

|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)

Answers

Answer:

x < [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

someone answered this and its correct

Step-by-step explanation:

:D

Can you guys help me find the answer

Answers

6+2=8
:))))))))))))))

Answer:

Step-by-step explanation:

Start by looking at the face that is closest to the bottom left. It is a hexagon and it makes 1 face.

It is connected to a similar hexagon on the upper right by 6 tiles. So that adds 7 more faces.

The total is 2 hexagons + 6 rectangles = 8 faces.

I need help on both questions!

Answers

Answer:

9 sq.m

Step-by-step explanation:

because the area of triangle is 1/2 *b*h

Answer:

The area of the triangle is 9 sq. m.

Step-by-step explanation:

The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.

what is the minimum and maximum of f(x)=-10x^3+6x-2

Answers

Answer:

Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]

Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]

Step-by-step explanation:

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Brainliest goes to whoever answers correctly also if you want more points then answer my others

Answers

Answer:

It is a value that is an abnormal distance from the other values in a data set.

Step-by-step explanation:

An outlier is something that stands out from another thing. Such as color in a black and white film.

Ed has a recipe that uses [tex]\frac{2}{3}[/tex] cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? Answer in a fraction pls! Will give brainliest!

Answers

Answer:

The formula for this would be [tex]2/3 \times4[/tex]

Since we need to multiply the fraction against the amount of batches, to get the final result of cups of flours. (It only makes sense!)

8/3 is the correct answer

2 2/3 is the mixed fraction

Answer as an improper fraction:  8/3

This converts to the mixed number 2 & 2/3

So he'll need 2 whole cups plus another 2/3 of a cup.

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

Explanation:

1 batch uses 2/3 of a cup

4 batches uses 4*(2/3) = (4/1)*(2/3) = (4*2)/(1*3) = 8/3 of a cup

Simply multiply 2/3 by 4 to get 8/3.

-----------

If you need to convert to a mixed number, then you could follow these steps

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

Or you could note that 8/3 = 2.667 approximately. The decimal portion 0.667 converts to the fraction 2/3.

Question: 1-19
A function has the points (1,5), (3,6), (4, 10), and (x, y).
Which point, (x, y), would keep this a function?
O
(4, 11)
(4,5)
(3,8)
о
(6,3)

Answers

Answer: (6,3)

Step-by-step explanation:

what is the range of 20,15,10,5

Answers

Answer:

15

Step-by-step explanation:

Since range is the difference between the highest valued character and the smallest

20-5=15

Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?

Answers

Answer:8

Step-by-step explanation:

We can expect 8 of the next 16 people to have black hair, based on the given information.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Since 2 out of the total number of people who have already taken their seats at the seminar have black hair

we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.

The probability of a person having black hair can be expressed as:

P(black hair) = 2/(2+2) = 1/2

This means that out of the total number of people who have already taken their seats, half of them have black hair.

If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,

we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:

Expected value = total number of people x probability of having black hair

Expected value = 16 x (1/2)

Expected value = 8

Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?

Answers

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

please help me :(

Any Maths Moderator:( please help me; I am in great trouble​

Answers

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

Answer:

x=4

Step-by-step explanation:

[tex](2x-4)^{12}[/tex]  =[tex]16^{6}[/tex]

2x-4=[tex]\sqrt[12]{16^{6} }[/tex]  =4

x=4

A population of bacteria can be modeled by the function f(t) = 1000(0,98)", where t represents
the time since the population started decaying, and f (t) represents the population of the
remaining bacteria at time t. What is the rate of decay for this population?

Answers

Answer:

Decay rate of 2%

Step-by-step explanation:

Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.

What is The 10th prime number

Answers

Answer:

The 10th prime number is

Step-by-step explanation:

Prime numbers can only be divided by 1 and itself. The 10th prime number in this case would be 29.

round the whole number 21,908 to the nearest thousands place

Answers

i believe it would be 22,000

Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up

Whoever answers these 2 right gets brainliest and 25 points!

Answers

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Solve for x.


A. 12
B. 1
C. 3
D. 5

Answers

Answer:

1

Step-by-step explanation:

hope this helps <3

The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle shown in the picture.

From the tangent-chord angle theorem:

Angle CBA = (1/2)[360 - (272x+2)]

Angle CBA = (1/2)[360 - 272x - 2]

Angle CBA = (1/2)[358 - 272x ]

43x = 179 - 136x

179x = 179

x = 1

Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0

Answers

Answer:

x1= -13,x2=3

Step-by-step explanation:

we have

(x+5)^2 -64=0

<=>x^ 2 + 10x+ 25-64=0

<=>x^ 2+10x-39=0

<=>( x-3).(x+13)=0

Answer:

-13, 3

Step-by-step explanation:

khan

I need help with another too! :( I will mark brainliest! You will get 30 pionts

the picture is right there too! The question is also in the picture too!

I hope you could see it clrealy!

Answers

Answer:

130°

Step-by-step explanation:

Angle 3 and 7 are the same so angle 7 is 50°

180° is the angle of a straight line so we take 50 away from 180 giving us 130°.

Hope this helps! :)

Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals [tex]5^{10}[/tex] or not

Take for instance:

[tex]5^5 * 5^5[/tex]

Using law of indices:

[tex]5^5 * 5^5 = 5^{5+5[/tex]

[tex]5^5 * 5^5 = 5^{10[/tex] ---- equivalent

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}}[/tex]

Factorize the numerator

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}[/tex]

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}[/tex]

Cancel out 2

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}[/tex]

Apply law of indices

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}[/tex]

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}[/tex]

[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10[/tex] ---equivalent

[tex]125 * 78125[/tex]

Express as exponent

[tex]125 * 78125 = 5^3 * 5^7[/tex]

Apply law of indices

[tex]125 * 78125 = 5^{3+7[/tex]

[tex]125 * 78125 = 5^{10[/tex] ---- equivalent

[tex]5^3 + 5^7[/tex]

Solve exponents

[tex]5^3 + 5^7 = 125 + 78125[/tex]

[tex]5^3 + 5^7 = 78250[/tex] ---- not equivalent

0.45 written as a common fraction, in its simplest form, is

Answers

Answer:

920

So, 0.45=920 as a proper fraction in simplest form.

The question is in the image below

Answers

9514 1404 393

Answer:

  B.  y < -x +1

Step-by-step explanation:

The boundary line has a y-intercept of +1, eliminating choices A and C.

The boundary line has a negative slope, eliminating choices C and D.

The only viable choice is B: y < -x +1.

Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid

Answers

Answer:

triangular prism

Step-by-step explanation:

the name of the solid is ussualy the base  of the shape

Answer:

A

Step-by-step explanation:

help, the question is on the image

Answers

[tex]p = \frac{2 -3g}{g + 4} [/tex]

Refer to the attachment for step by step explaination.

Have a nice day!!

Answer:

[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]

Step-by-step explanation:

[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]

add. what is the sum (2 x 10^16) + (7 x 10^16)

Answers

Answer:

9*10^16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

order of operations dictates to the power preceeds multiplication, therefor the only difference is the sum of the multipliers being 2 and 7, added after factoring within parenthesis

Find the value of x.

Answers

Answer:

10

please mark brainiest

Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.​

Answers

Answer:

5 five-dollar coins and 3 ten-dollar coins

Step-by-step explanation:

10x3=30

5x5=25

30+25=55

Step by step pls thanks

Answers

The choose (d)

1/2(x+1)

x²–25/x²+6x+5 / 2x-10

(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)

Remove (x+5) from the first fraction

(x-5)/(x+1) / 2(x-5)

(x-5) / 2(x-5)(x+1)

Remove (x-5)

1/2(x+1)

I hope I helped you

Good luck ^_^

Pls someone help me these's problem's!

Answers

Answer:

15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.

16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6

Step-by-step explanation:

my explanation is all on the top

how many miles from the runaway airplane at the start of this approach.​

Answers

Answer:

it should be 41 ml I think.

Other Questions
Select all of the sentences that include a double negative, according to the rules of Standard American English.Jim shouldnt have never gone without you.Im tired of being captain because nobody never does anything.I can hardly understand him.Carey wont scarcely have time to catch the bus.We have been to no ball games in over a month. What is one image the author gives the reader with the metaphor the sun isa smouldering fire in the second stanza?A. The reader can picture and feel the hot afternoon air.OB. The reader can picture many fires around the land.OC. The reader pictures the sun as angry and bitter.OD. The reader can picture and feel the sun trying to hide its power. Which expression is equivalent to ((4^(5/4)x4^(1/4))/4^1/2)^1/2?^16sqrt4^5Sqrt2^524 Would appreciate any assistance 10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10 There are 36 male and 24 female students in a cultural competitiona ) Write the percentage of students in the competition b ) Write the percentage of female students in the competition Amy is planning to write an essay about her family's pet parrot. What is the best main idea for her essay? Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)??? Pls help :0 Who do we balance a chemical equation in need of correct answer por favor What is the equation of the following line? Be sure to scroll down first to seeall answer options.(-3, 1)(0,0) Jack had 3bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jack have now? After considering the Burberry story, identify which business-level strategy the company is attempting to pursue?a. Focused Differentiationb. Focused Low Costc. Broad Low Costd. Integrated Differentiation and Low Cost Which of the following best describes changes related to the Arab Spring?A. challenges to Middle East dictatorshipsB. global climate changeC. increases of human rights violationsD. growth of international terrorism What would you change about the treaty to possibly prevent WWII A company has the following inventory data: July 1 Beginning inventory 20 units at $19 $ 380 7 Purchases 70 units at $20 1,400 22 Purchases 10 units at $22 220 $2,000 A physical count of merchandise inventory on July 30 reveals that there are 32 units on hand. Using the FIFO inventory method and a periodic inventory system, the amount allocated to ending inventory for July is The first step in the scientific method is totest with an experiment.form a hypothesis.draw a conclusion,O analyze the data.I THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB=3 and AD=1, what is the length of AC? Please dont put any files or links. answer each equation please. Consider this equation, KE = mv2Which of those variables is changing as the skater moves up and down the track?