1. a large pizza at palanzio’s pizzeria costs $6.80 plus $0.90 for each topping. the cost of a large cheese pizza at guido’s pizza is $7.30 plus $0.65 for each topping. how many toppings need to be added to a large cheese pizza from palanzio’s pizzeria and guido’s pizza in order for the pizzas to cost the same, not including tax?

15.65

Step-by-step explanation:

6.80+0.90=7.7

7.7+7.30=15

15+0.65=15.65

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.

step-by-step explanation:

i dont get