Connor wants to save up money to buy his math teacher a PS5 for the holidays. After 4 weeks, he has $178 saved up. After 9 weeks, he has $338. 1) Write a sentence describing what changed between these two moments in time.

2) How much is Connor having each week?

3) How much did Connor already have when he decided to start saving?

1.) Over these two moments he has saved up more money to buy a PS5 for his teacher

2.) $32 dollars per week

3.) $178

Step-by-step explanation:

2.) 338-178= 160/5= $32

3.)$178

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.