3 years ago

A circle has a circumference of \blue{6}6start color #6495ed, 6, end color #6495ed. It has an arc of length \dfrac{17}{3}

Mathematics

1 answer:

maw [93]3 years ago

8 0

Answer:

The central angle of the arc is 340°

Step-by-step explanation:

The formula for calculating the area of an arc = theta/360° × 2πr

Note that circumference of the circle = 2πr

The area of an arc = theta/360° × circumference of the circle

Given length of the arc = 17/3

Circumference of the circle = 2πr = 6

On substitution;

17/3 = theta/360 × 6

17/3 = theta/60

Cross multiplying;

3theta = 17×60

theta = 17×60/3

theta = 17×20

theta = 340°

You might be interested in

1frogaroni please answer this 888888,1*9000.

charle [14.2K]

Answer:

Hello here is the answer hope this helps 79999992900.

Step-by-step explanation:

4 0

3 years ago

What multiplication equation can you use to check the answer to the problem -32 divided by -4

Naddika [18.5K]

8x-4=-32 so thats an equation that you can use

5 0

3 years ago

How many floors does she travel?

tekilochka [14]

Answer:

15 floors

Step-by-step explanation:

She parks on the third floor below ground +3

She goes up to the twelfth floor +12

3+12=15

7 0

3 years ago

You drive 150 miles in 3 hours before stopping for 30 minutes to have lunch and gas. After lunch you travel 100 miles in an hou

KiRa [710]

Average speed = total miles driven / total driving time
average speed = (150 + 100) / (3 + 1 1/2) =
250 / (4 1/2) =
250 / (9/2) =
250 * 2/9 =
500 / 9 = 55.55 mph

7 0

3 years ago

the price per share of a stock decreased from $90 per share to $36 per share. by what percent did the price of the stock decreas

givi [52]

Answer:

60%

Step-by-step explanation:

we know that

the price per share of a stock decreased from $90 per share to $36 per share

In this problem

$90 represent the 100%

using proportion

Find out what percentage represent the difference of ($90-$36)

($90-$36)=$54

Let

x ----> the percentage of the difference

$\frac{100\%}{\$90}=\frac{x}{\$54}\\\\x=54(100)/90\\\\x=60\%$

8 0

3 years ago