A lake is rising at 4 inches per hour. If the lake rises more than 36 inches, then it will cause flood damage. How long can the lake rise at this rate without causing flood damage?

5-7 hours

Step-by-step explanation:

So 4 inches per hour.

4x9 = 36, so at the ninth hour itll flood and cause damage. so about maybe,     5-7 hours until it floods and causes damage

Also, welcome to!!

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.

1. 34

2. 268

3. x=14.4

step-by-step explanation: