The garcia family and the lee family each used their sprinklers last summer. the garcia family's sprinkler was used for  40   hours. the lee family's sprinkler was used for  20   hours. there was a combined total output of  2000l   of water. what was the water output rate for each sprinkler if the  sum  of the two rates was  60l   per hour?

Lee= 20 L per hour.

Garcia = 40L per hour

Step-by-step explanation:

This formula is:

40x + 20y = 2000L

with if being known that x + y = 60.

In this x is the rate for Garcia and y is the rate for Lee.

You can also say that x = 60 - y, which you can fill in.

40 * (60-y) + 20y = 2000

2400 - 40y + 20y = 2000

-20y = -400

y = 20 L per hour.

So x = 60 - 20 = 40L per hour

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.

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8