It takes Hayden 1 1/2 minutes t complete each level of his video game. If he plays for 10 1/4 minutes, how many levels will he complete?

Given:

Hayden minutes to complete each level of his video game.

He plays for minutes.

To find:

The number of levels he will complete.

Solution:

We have,

Required time for each level =

Total time =

The number of level is

On further simplification, we get

Number of levels must be a whole number. So, approx to value to the preceding whole number.

Therefore, Hayden will complete 6 levels if he plays for minutes.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

5.5

step-by-step explanation: