In a single elimination tournament starting with 128 teams, half of the remaining teams are eliminated in each round. a) make a table, a scatter plot and a function rule to represent the situation b) is it possible for 24 teams to remain after a round? which representation in part (a) made it the easiest to answer the question? c) what is the domain of the function? what does the domain represent? d) how many teams will be left after 5 rounds

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.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's