To create an all purpose cleaning product, 1.5 ounces of cleaner must be added to one gallon of water. how many ounces of cleaner will be added to 8.5 gallons of water?

12.75 oz

Step-by-step explanation:

1 gallon is equivalent to 64 oz.

Writing and solving an equation of ratios, we get:

 1.5 oz       1 gal

=

     x          8.5 gal

Here we must cross-multiply to solve for x.

x(1 gal) = (1.5 oz)(8.5 gal) = 12.75 oz

Thus, x = 12.75 oz of cleaning product must be added to 8.5 gal of water to create the desired solution.

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.

need more info

step-by-step explanation: