find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian​

Answers

Answer 1

Answer:

L = length of arc , R = radius

radian angle = L / R

L = R* radian angle

L = R * 1/3

L = R/3 #1

Area of sector = 1/2 L*R

By substitution using #1

Area of sector = 1/2 * R/3 * R

9 = R^2 /6

R^2= 6*9

R^2= 36

R =✓36

R = 6


Related Questions

(25x3) + (10x3) is my question i dont know the answer

Answers

Answer:

75+30=105....................

There are 35 boys in band and 49 girls in band Ryan says the boys to girls is 5 to 7 is he correct or incorrect show how he is correct or incorrect

Answers

Answer:

He is correct.

Step-by-step explanation:

[tex]\frac{35}{49} =\frac{5}{7}[/tex]

He is correct
7x +5x=84 boys and girls
12x =84
x=7
7x7=49. 5x7=35

Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?​

Answers

The answer is 6564 yards. You had to do 1094 x 6.

What is the sum of two comsecutive integers

Answers

Answer:

The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.

Find the final amount of money in an account if $1,700 is deposited at 5.5 % interest compounded
quarterly (every 3 months) and the money is left for 8 years.
The final amount is $
Round answer to 2 decimal places

Answers

Answer:

74800 is the amount of $1700 at the rate of 5.5 for 8 yrs

how to complete this question?

Answers

Answer:

f(x) = [tex]-2^{x+1}-1[/tex]

Step-by-step explanation:

I. If you see (0, -3) point on the green line

II. Perform x = 0, if y = -3 means the statement is true

    = [tex]-2^{0+1} - 1[/tex]

    = [tex]-2^{1}[/tex] - 1

    = -2 - 1

  y = -3

Got more question or somethin to discuss? Leave comment below

     

Simplify show step by step 30 POINTS!

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

If f(x) = x and g(x) = 2, what is (fºg)(x)?

Answers

Step-by-step explanation:

(fog)(x) = f[g(x)]

f(g(x))

f(x-2)

since f(x) = 1 / x

answer: 1/x-2

1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined

Which fraction is equivalent to -7/8

1. 8/-7

2. -7/-8

3. 8/7

4. 7/-8

Answers

Answer:

Your answer is answer no 4 = 7/-8

Answer:

4.

Step-by-step explanation:

7/-8

-7/8 is between -1 and 0.

So, we can eliminate 1 and 3.

We can also get rid of 2 because -7/-8 = 7/8, which is positive.

We are left with 4.

What element in the domain has image 7 in the function f(x) = x²– 2?

a. 3 b) 9 c) -1 d) 4

Answers

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

A. 3 is the right answer.

Find the value of x for which ABCD must be a parallelogram.

Answers

Answer:

ans is 7

Step-by-step explanation:

as we know that angle B and C are equal cause it is an alternative angle so

3x-17=25-3x

so 3x+3x=25+17

6x=42

x=7

Answer:

7

Step-by-step explanation:

The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.

That said, you are 1/3 the way there. Those angles marked must be equal.

3x - 17 = 25 - 3x            Add 3x to both side

3x + 3x - 17 = 25           Combine

6x - 17 = 25                   Add 17 to both sides

6x = 25 + 17                  Combine

6x = 42                         Divide by 6

6x /6 = 42/6

x = 7

Select the correct answer.
Based on these segment lengths, which group of segments cannot form a triangle?
OA 12,7,8
OB. 8, 7, 13
OC. 1,2,3
OD. 80,140, 70
Reset
Next
2021 EdimentumAll rights

Answers

Answer:

C

Step-by-step explanation:

If you add up the length of two sides, the sum must be greater than the third side of the triangle.

If you add 1 and 2, it equals 3

But that means it will be equal to the length of the third side, 3

It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.

It's sort of difficult to explain this without any visual

You can look up "triangle inequality" to find out more about this

Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460

Answers

Answer:

The answer is 22,650

So, option b for you

Step-by-step explanation:

To find the sum of even numbers from 2 to 300, the formula we use is,

N ( N + 1 )

Where N is given by,

N = [( first number + last number)/2] - 1

So here, N = [ (2 + 300 ) / 2 ] - 1 = 150

And hence Sum = 150 * 151 = 22650

(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.​

Answers

a-b=10--(1)

Same side interiors(vertical) have sum 180°

a+b=180--(2)

From both equations

2a=190a=95

And

a-b=10b=95-10b=85

I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?

Answers

Answer:

25

Step-by-step explanation:

Answer:

21 answers.

Step-by-step explanation:

First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:

70% = 70/100 = 0.70

Next, multiply 0.70 with the total amount of questions (30):

30 x 0.70 = 21

21 answers must be correct.

Check:

Divide 21 with 30:

21/30 = 0.70 = 70%

~

1. Which is an example of an algebraic expression?

Answers

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Write the range of the function given in the graph in interval notation.

Answers

9514 1404 393

Answer:

  (-4, 8]

Step-by-step explanation:

The vertical extent of the graph is ...

  -4 < y ≤ 8

In interval notation, the range is (-4, 8].

__

Additional comment

There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.

Is 3.6 a natural/counting
Number

Answers

Answer:

It’s a rational number

Step-by-step explanation:

What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.

Answers

9514 1404 393

Answer:

  x = -1.4

Step-by-step explanation:

  3(x-6) -8x = -2 + 5(2x + 1)

  3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses

  -21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms

  x = -21/15 = -7/5

  x = -1.4

__

Check

  3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x

  3(-7.4) +11.2 = -2 +5(-2.8 +1)

  -22.2 +11.2 = -2 +5(-1.8)

  -11 = -2 -9 . . . . . true

What Is a constant or the product of a constant and one or more variables

Answers

Answer:

A constant or the product of a constant and one or more variables is called a coefficient.

Hope it helps you.

I have to calculate the lengths of all the triangles sides using pythagoras theorem

Answers

Answer:

√62 = 8

y = 8

√225 = 15

z = 15

Pythagoras theorem

a^2 + b^2 = c^2

in this case...

y^2 + z^2 = x^2

8^2 + 15^2 = √289

8^2 + 15^2 = 17

x= 17

When I triple my number and add three and then subtract double my number and add one I get nine what is my number

Answers

Answer:

i belive if not mistaken 6

Step-by-step explanatio

Answer and Step-by-step explanation:

I will replicate what you said into an algebraic equation.

Your number will be represented as x.

(3x + 3) - (2x + 1) = 9

Distribute the negative.

3x + 3 - 2x - 1 = 9

Combine like terms.

x + 2 = 9

Subtract both sides of the equation by 2.

x = 7

Your number is 7.

Checking my answer:

(3(7) + 3) - (2(7) + 3) = 9

(21 + 3) - (14 + 3) = 9

24 - 17 = 9

9 = 9 ✓

So, your number is 7.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Solve if x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14.

Answers

Answer:

x=3[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180

7x-2+2x+8+3x+14=180

Combine Like Terms: 12x+20=180

12x+20-20=180-20

12x=160

12x/12=160/12

x=13[tex]\frac{1}{3}[/tex]

An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.

A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.

The sum of the measures of the angles around a point is 360 degrees:

Angle AOC + Angle AOB + Angle BOC = 360

Substitute the given expressions for the angle measures:

(7x - 2) + (2x + 8) + (3x + 14) = 360

Combine like terms:

12x + 20 = 360

Now, subtract 20 from both sides:

12x = 340

Finally, divide by 12:

x = 340 / 12

x = 28.33

To know more about value here

https://brainly.com/question/30145972

#SPJ3

4 2/3 - (1 4/5). PLEASE HELP MEEEEE

Answers

Answer: 2 13/ 15

Step-by-step explanation:

what is 13 x 12 feet converted is how many inches?​

Answers

13 x 12 feet =
156 x 144 inches I got it right

please help me, if you help then thanks!

Answers

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

Select the best answer for the question.
17. What is the sum of 1/9, 2/3, and 5/18?
O A. 4/15
O B. 12/g
O C. 8/30
O D.
19/18
MA .
Lovi
AL HADIR

Answers

Answer: D 19/18

Step-by-step explanation: First you have to make a common denominator of 18. 1/9 becomes 2/18. 2/3 becomes 12/18. 5/18 stays the same. Then you have to add the numerators and you get 19/18.

Round 57.5958961796 to the nearest hundredth.

Answers

Rounding to the nearest hundredth your answer should be 57.6

1. If a = -1 , the value of3a + 1 is ​

Answers

Answer:

[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]

Therefore, -2 is the right answer.

How would you write a gain of 16 points as an absolute value?

Answers

Absolute value of 16 is 16
Other Questions
a company purchased new furniture at a cost of $30,000 on september 30, the furniture is estimated to have a useful life of 4 years and a salvage value of $3,600. The company uses the straight-line method of depreciation. How much depreciation expense will be recorded for the furniture for the first year ended december 31 1.I HAVE COMPLETED ALL MY HOMEWORK. (INTO NEGATIVE)2.A YOUNG MAN KILLED THE TIGER.(INTO PASSIVE VOICE)3.THE TEACHER SAID,"WATER BOILS AT 100* C".(CHANGE INTO INDIRECT SPEECH) 11. The sum of three consecutive odd integers is93. Find the integers. Which word correctly completes the sentence?Kats grades were so good that she was already ________ herself as class valedictorian. What is the smallest country in the world? Which of the following statements is true?a) Cube root of a perfect cube number ending with 8 ends with 8.b) Cuberootofaperfectcubenumberendingwith6endswith2.c) Cube root of a perfect cube number ending with three zeroes ends with one zero.d) Cube root of a negative number may be positive. If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest? Select the correct answer.How do authors use pacing to build tension in a story?OA. They provide the reader with details about how the conflict is resolved at the end of the story.OB. They state explicitly how the climax and the events that follow are related to the resolution.Oc. They give detailed descriptions of the characters and setting before the rising action begins.OD.They use techniques to slow down or speed up how readers encounter information in a story. A:10i - 2j -4k and B: i +7j - k. Determine |A-B| 13. After you have created a set of research questions, what should you do next in the research process?A. Identify credible sources.B. Brainstorm ideas about the topic.C. Read background information.D. Write a rough draft. A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be? 2 inches 5 inches 8 inches 9 inches Consider the equation:f(x) = -3x - 6What is the ordered pair for x = 3?(-3, 3)(3, -3)(-15, 3)(3, -15) "the source of information about foreign employment is very important " . justify with your own example what is the most employment intensive sector of the economy Which of the following characteristics does The Love Songof J. AlfredPrufrock" share with "The Jilting of Granny Weatherall"? Help help help help Look up penny debate to help Is 1 3/4 closer to 1 or 2 ? Explain your answer Mention the causes of conflict? Compare and contrast a presidential governmentand a parliamentary government. SkincareI have this on my for more than 4 months ig. Its not improving. Can anybody tell me whats this or how can I get rid of this?