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

what is the value of x? 26 degrees tangent lines

Answers

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

The value of the x will be 154°.

How to find the interior central angle?

The central angle and the angle between the tangents are supplementary.

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.

So,

x + 26° = 180°

Subtract 26° from both sides;

x + 26 - 26 =  180 - 26

x = 154°

Hence, the value of the x will be 154°.

Learn more about tangents ;

https://brainly.com/question/10024457

#SPJ2

165 x 0.38² to two decimal place

Answers

Answer:

23.83

Step-by-step explanation:

In the right triangle shown, m\angle Y = 30\degreem∠Y=30°m, angle, Y, equals, 30, degree and XY= 6XY=6X, Y, equals, 6.

Answers

Answer:

YZ = 6.93

Step-by-step explanation:

Find the complete question attached

From the diagram, we are to look for YZ

Given the following

XY = adjacent = 6

measure of m<Y = 30degrees

Required

YZ = hypotenuse

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos 30 = XY/YZ

Cos 30 = 6/x

x = 6/cos30

x = 6/0.8660

x = 6.93

Hence the length of YZ is 6.93

How many more brooms must each earn in order to have enough credit to get a month off with pay?

Answers

Answer:

5

Step-by-step explanation:

can someone please help me with this?

Answers

Y=mx+b
Y=250+10c

The 250 is the b and the 10c is the mx

Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):

r = m + 5
r = 4m – 10

Which is the correct method to find Rose's and Milton's ages?

Answers

substitute it in and make it m+4=4m-10

louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax

Answers

$215.13




First off $249 x 20% = $49.8 so, $249- 49.8 = 199.2 ( the price after deducting the discount), 199.2 x 8% = 15.93 (this is the price of the tax), and 199.2 + 15.93 = $215.13 ( this is the price after the discount and with taxes) :D

find the vertex form of 4x^2+8x-8

Answers

Answer:

4(x + 1)^2 - 12.

Step-by-step explanation:

f(x) = 4x^2 + 8x - 8

f(x) = 4(x^2 + 2x) - 8

f(x) = 4[(x + 1)^2 - 1) - 8

f(x) = 4(x + 1)^2 - 4 - 8

f(x) = 4(x + 1)^2 - 12.

Which answer is correct??

Answers

Answer:

8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

y

2

−3=1

1

2

y+−3=1

1

2

y−3=1

Step 2: Add 3 to both sides.

1

2

y−3+3=1+3

1

2

y=4

Step 3: Multiply both sides by 2.

2*(

1

2

y)=(2)*(4)

y=8

Answer:

C.

Step-by-step explanation:

Replace y with each value.

If y is 2 then the answer would be -2

If y is 4 then the answer would be -1

If y is 8:

8/2 = 4

4-3 = 1

Please mark brainliest if this answer helped.

Happy Learning!

:) ur thoughts on this???

Answers

Answer:

it looks dead ..............

Are both of theses sets of orderd pairs a function? {(4,2) (3,15) (2,18) (1,21)} {(-6,8) (-3,4) (3,0) (6,-4)

Answers

Answer:

yes!

Step-by-step explanation:

Please help I’ll mark brainliest

Answers

Answer:

y= x-3

Step-by-step explanation:

use the slope formula which is y= m(slope)x + b(y intercept)

The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.

Hope this helps :)

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to thegym. Which equation matches this situation?​

Answers

Answer:

50+20x=290 or 50+(20x12)=290

Step-by-step explanation:

Answer:

50 + 20m = 290

Step-by-step explanation:

The answer is 50 + 20m = 290, because Jim paid a membership fee that was $50. Then each month he paid $20 because of his new membership. Jim never paid $50 a month, that was only his starter fee, but then gradually paid $20 every month so it would be 20m. Hope this helped.

A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.

(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!

Answers

Answer:

a)

Verify is the corresponding sides have same ratio:

AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

(6/5)² = 1.44 times

Simplify (2x-9)(4x+1)

Answers

Answer:

the answer is 8x^2-34x-9

Answer:

8x^2 - 34x - 9

Step-by-step explanation:

If the radius of a circle is 8 inches, what is the area. Use the formula shown below, and round the answer to the nearest hundredth, please.

A = π r² π ≈ 3.14

Answers

A≈201.06in²

A=πr2=π·82≈201.06193in²

Answer:

A=πr2=π·82≈201.06193

this is your answer.

201.1 — estimated.

Have a great day!!

factor completely;
3x^2 - 28x + 49

Answers

Answer:

(3x-7) (x-7)

Step-by-step explanation:

Answer:

(3x-7) (x-7)

PLEASE MARK BRAINLIEST

Step-by-step explanation:

32−28+49

32−7−21+49

-----

32−7−21+49

(3−7)−7(3−7)

---->(3x-7) (x-7)

Ryan's take-home pay is $2,500 each month. The amount for gas is $125. Calculate the percentage Ryan uses on gas from his take-home pay. please help!! O^O

Answers

Answer: 5%

Step-by-step explanation:

Since Ryan's take-home pay is $2,500 each month and the amount for gas is $125.

The percentage that Ryan uses on gas from his take-home pay will be:

= Amount used on gas / Take home pay × 100

= 125/2500 × 100

= 1/20 × 100

= 5%

He used 5% on gas.

Can someone please help me with this math problem please:):)

Answers

Answer:

y = 126° + 29° = 155°

Step-by-step explanation:

I think this may be a solution:

126°+29°=155°

So, y=155°

Write an equation for the line parallel to the given line that contains C.
C(1,4)​; y=−3x+1

Answers

Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness  of a line and the y-intercept is the point where the line intersects  the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

Step-by-step explanation:

rewrite the equation 12x=13-x^2

Answers

Answer:

x^2+12x-13 = 0

Step-by-step explanation:

12x=13-x^2

=>12x+x^2=13-x^2+x^2

=>x^2+12x-13 = 13-13

=> x^2+12x-13 = 0

Answer:

x² + 12x - 13 = 0

Step-by-step explanation:

12x = 13 - x²

the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;

0 = 13 - x² - 12x

0 = -x² - 12x + 13

In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:

x² + 12x - 13 = 0

Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle

Answers

Answer:

37

Step-by-step explanation:

Which expression shows 3 decreased by the sum of 11 and a number? A. 3-(11+x) B. (11+x)-3 C. 3-11+x D. 3+11x

Answers

Answer:A

Step-by-step explanation:

Answer:

The correct answer Its A. 3-(11+x)

Help me pless!!!!!!!!!

Answers

Answer:

p = 7

Step-by-step explanation:

2p = 14

p = 14/2

p = 7

Can someone please help me with math.

Answers

Answer:

c

Step-by-step explanation:

c

How do you do √1/3/5

Answers

Answer:

Write  

1

as a fraction with a common denominator.

5

5

3

5

Combine the numerators over the common denominator.

5

3

5

Subtract  

3

from  

5

.

2

5

Rewrite  

2

5

as  

2

5

.

2

5

Multiply  

2

5

by  

5

5

.

(

2

5

5

5

)

Combine and simplify the denominator.

Tap for more steps...

2

5

5

Simplify the numerator.

Tap for more steps...

10

5

The result can be shown in multiple forms.

Exact Form:

10

5

Decimal Form:

0.63245553

()|[]√≥°

789≤θ

456

Find the sum of 6x2 – 1 and x + 9.

Answers

Please find the attached photograph for your answer.

A store pays $147 for a skateboard. If the store marks it up 75%, then marks it down 22%. What is the new cost​

Answers

Answer:

$200.65

Step-by-step explanation:

If they bought it for 147 then marked it up 75% you would do

$147+75%  = 257.25

THEN they mark down

257.25 - 22% = $200.255 which would be

$200.25 orrr $200.26

Can someone help?????

Answers

Answer:

i can Lol if you will help me after i help you

Step-by-step explanation:

put -6.5 in between -6 and -7. put -8.5 between -8 and -9. -6.5 is > than -8.5. hope this helped and i hope im right.

A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'

Answers

The answer is c i done it
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