A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.

Answers

Answer 1

9514 1404 393

Answer:

  6.68 in

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ . . . . θ in radians

Then the radius is ...

  r = s/θ

  r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in

The radius of the circle is about 6.68 inches.

Answer 2

Answer:

Solution :-

Angle of circle = π/3 r

Length of minor arc = 7 in

Now

We know that

Radius = Length/Angle

Radius = 7/(π/3)

Radius = 7/π × 3

Radius = 21/π

[tex] \\ [/tex]


Related Questions

0.73 recurring can be writeen as 11/15

Answers

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

A population of 1,996 unicorns is going extinct at a rate of about 24 unicorns per year. A separate population of 1,229 dragons is going extinct at a rate of about 11 dragons per year. After how many years will the two populations be equal?

Answers

Answer:

https://youtu.be/QZ_a8VXhiSc

Step-by-step explanation:

https://youtu.be/BX0K5IfPMOA

Please help! you will get 'Brainliest' if you do.

Answers

Answer:

D is correct, based on my understanding

Step-by-step explanation:

please help with this problem

Answers

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

Nine. I think I’m not sure

what is the product of the polynomials? (3x-2)(12x+7)

Answers

Answer:

36x²-3x-14

Step-by-step explanation:

(3x-2)(12x+7)

36x²+21x-24x-14

36x²-3x-14

GIVING BRAINLIEST!!!!!

What type of triangle is shown in the image?

Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle

Answers

Answer:

Well wheres the image?

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Someone said so

115 divided by 356................

Answers

Answer:

0.32        

:)

brainliest greatly appretiated

I recommend using Photomath :)

Evaluate the following: 77 - |( -8)(3) + (-10)(4)|

Answers

Answer:

13

Step-by-step explanation:

77−|(−8)(3)+(−10)(4)|

=77−|−24+(−10)(4)|

=77−|−24+−40|

=77−|−64|

=77−64

=13

Hope this helps

The answer is most likely 13

PLEASE HELP! It’s super important!

Answers

Answer:

2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6

Step-by-step explanation:

[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]

[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]

= -1 (Ans)

[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]

Since,

[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]

Hence,

[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]

[tex] = - \sqrt[3]{ \frac{2 \times 2 \times 2}{3 \times 3 \times 3} } [/tex]

[tex] = - \frac{2}{3} (ans)[/tex]

[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]

[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]

= 10 - 2 × 3

= 10 - 6

= 4 (Ans)

[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]

[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]

[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]

= 70 - 64

= 6 (Ans)

What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July

Answers

Answer:

It will be Fourth of July in 7 weeks.

Step-by-step explanation:

Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:

 7 days    →    1 week

49 days    →        x

x=(49*1)/7

x=7

According to this, the answer is that it will be Fourth of July in 7 weeks.

Answer question for brainleist

Answers

Answer:

m<D = 52°

Step-by-step explanation:

x + 20 + 3x + 32 = 180

4x + 52 = 180

4x = 128

x = 32

m<D = x + 20 = 32 + 20 = 52°

URGENT 100 POINTS (all fake answers will be removed and i will take the points back)

Quadrilateral ABCD ​ is inscribed in circle O.



What is ​ m∠A ​ ?

Answers

Answer:

42 degrees (check attachements) hope it helps!

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.

m<B + m<D = 180

2x + 3x - 5 = 180

5x = 185

x = 37

m<A = x + 5

m<A = 37 + 5

m<A = 42

Ashley bought 2 1/7 lb of tomatoes, 3 2/3 lb of lettuce, and 3 1/3 lb of spinach to make a salad. How many pounds of vegetables did she buy?

Answers

9 1/7 lb

You can convert the mixed numbers to solve it easier! :)

A graph of a system of two equations is shown.
What is the solution of the system? HELP!!!!!

Answers

Answer:

can you just mark me brainleyest.

Step-by-step explanation:

I need help on this one please

Answers

Answer:

C

Step-by-step explanation:

Similar Triangles? (yes or no)
by which criteria? (AA- SAS-, SSS- or not enough info)

Answers

Answer:

Yes but not in size and not enough info

Step-by-step explanation:

Hope it helps

Please brainliest

Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y​

Answers

Answer:

7x²+ 25x

Step-by-step explanation:

what is the product of the polynomials below? (8x^2-4x-8)(2x^2+3x+2)

Answers


16x^4 +16x^3 - 12x^2 - 32x - 16

Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes

Answers

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

weight of sheep,in pounds, at the Southdown sheep farm:









what is the range of weights of the sheep?

plz anwser asap I'm being timed​

Answers

Answer: 170

Step-by-step explanation:

275-105

A robot vacuum advertises that it can clean a 120-square-foot room in 1/2 an hour. How many square feet could the robot vacuum clean in 1 hour?​

Answers

Answer: 240 square foot room

Step-by-step explanation: They ask for how many square feet in 1 hour which is double the 1/2 hour. So, just do 120x2=240 to get your answer! (Don’t forget to label ,square-feet,)

Can someone please help me

Answers

Answer:

Point Form:

(-3, -5)

Equation Form:

x = -3, y = -5

Step-by-step explanation:

Hope This Helps! : )

What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?

Answers

Answer:

500 cubic feet

Step-by-step explanation:

5 * 20 * 5 = 500 cubic feet

solve for x. please please i need help help me please

Answers

The answer is 11 because the longer side would be 16

The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure

Answers

Step-by-step explanation:

perimeter is 4x+6 +20x-8=20x-2

area is 20x^2+22x-12

You borrow $450 to pay for a laptop. The interest rate is 2.8%. After 18 months, how much interest do you owe?

Answers

Answer:

226.8%

Step-by-step explanation:

The principal is $450

Interest is 2.8%

Time is 18 months

Therefore the interest can be calculated as follows

= 450×2.8×18/100

= 22,680/100

= 226.8 %

Hence the interest is 226.8%

The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students

Answers

Answer:

Assume that we want 90% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? A. Yes, because statistics students are typically younger than people in the general population. O B. No, because there is no age difference between the population of statistics students and the general population. O C. No, because statistics students are typically older than people in the general population.

Step-by-step explanation:

♥☺

Which equation does not represent a linear function

Answers

Answer:

D should be the one that DOES NOT represent a linear function

A hiker begins at 2,000 feet above sea level and takes a break at 1,600feet above sea level. What is the hiker change in elevation?

Answers

The hikers change in elevation is 400 feet.

Since they are both above sea level, all you would do is subtract

2000-1600=400
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