Rico spent $87.00 to go to the movies on friday night. he spent s25.75 on popcorn and drinks and paid $12.25 for each movie ticket he bought which equation and solution show how many movie tickets rico purchased on friday night?
1). 25.75x + 12.25 = 87; x = 2
2). 12.25x + 87 = 25.75; x = 1
3). 12.25x + 25.75 = 87; x = 5
4). 12.25x - 25.75 = 87; x = 5

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.

hit or miss i guess they never miss huh

step-by-step explanation:

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