All categories

2 years ago

a circle has a circumference of 20. it has an arc length of 4, what is the central angle of the arc, in degrees?

Mathematics

1 answer:

tatyana61 [14]2 years ago

8 0

Answer:

let Φ be the central angle of the arc

pi*2r = 20

r = 10/pi

arc length= 2pi*r*(Φ/360°)

4 = 2pi*r*(Φ/360°)

Φ=2/10 * 360° =72° degree

You might be interested in

Rewrite the expression with a rational exponent as a radical expression.

tatiyna

Answer:

First option is correct.

$\sqrt[10]{4}$

Step-by-step explanation:

Given:

The given expression is $(4^{\frac{2}{5}})^{\frac{1}{4}}$

We write the given expression with a rational exponent as a radical expression such as.

$=(4^{\frac{2}{5}})^{\frac{1}{4}}$

Simplify the above equation by multiplication of powers.

$=(4^{\frac{2}{5}\times \frac{1}{4}})$

$=(4^{\frac{1}{5}\times \frac{1}{2}})$

$=(4^{\frac{1}{5\times 2}})$

$=(4^{\frac{1}{10}})$

$=\sqrt[10]{4}$

Therefore, The answer is $=\sqrt[10]{4}$ .

4 0

3 years ago

37 + 15r > or equal to 127, what is the answer?

Tpy6a [65]

Answer:

r ≥ 6

Step-by-step explanation:

37+15r ≥ 127

-37 -37 37 cancels and you're left with 15r

15r ≥ 90

/ 15 /15 15 cancels and you're left with r

r ≥ 6

4 0

2 years ago

Decrease 119kg by 2/7

slava [35]

Answer:

Step-by-step explanation:

1-2/7 = 3/7

119 x 3/7 = 51

8 0

2 years ago

1.. A train travels at a speed of 58 km/hr. If it goes from one station to the next in 1.6 hours, how far has it traveled?

wel

Answer:

92.8 km

Step-by-step explanation:

s=d/t

58=d/1.6

58*1.6=d

92.8=d

7 0

2 years ago

If 15 x 332 = 4,980, then

DaniilM [7]

Answer:

then what?

Step-by-step explanation:

6 0

2 years ago