In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16 pi. What is the arc measure of AC, in degrees?

72 degrees

Step-by-step explanation:

We need to know the total circumference in order to determine the arc measure for ABC before we figure out AC

Circumference   =2πr   →  =2π(10)   →   =20π

We know the length of ABC

so we set up a proportion to figure out its arc measure.

arc length/ circumference = arc measure/ degrees in a circle

16π/ 20π = arc measure/ 360 degrees

arc measure= 360 x 16π/ 20π =228 degrees

The arc measure of ABC is 228 degrees

If we combine the major arc ABC, and the minor arc AC we have the entire circle.

288 degrees  +m  AC= 360

m  AC= 72 degrees

The measure of AC is 72 degrees

(i got the explanation off of Klan Academy when i answered the question)

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.