Big Deal appliance store is offering deep discounts on flat screen TVs. On the graph below, the xxx-axis represents the original price, and the yyy-axis represents the new sale price, in dollars. Big Deal's chief competitor, Appliance Hut, has announced that all sale prices (S)(S)left parenthesis, S, right parenthesis on TVs will be determined according to the equation:
S=(0.60)PS=(0.60)PS, equals, left parenthesis, 0, point, 60, right parenthesis, P,
where PPP is the original price.
Which store’s sale is better?

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.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse