If a sector in a circle of radius 10 has an area of 5pi, what is the measure of the central angle that forms the sector?

Step-by-step explanation:

The area (A) of the sector is calculated using the formula

A  = area of circle × fraction of circle

let x be the measure of the central angle, then

A = πr² × ← substitute values

5π = π × 10² ×

5π = 100π × (cancel 50π and 2π )

5π = 50x ( divide both sides by 50 )

x = = ← central angle

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.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)