Step-by-step explanation:
she swims at least 45 min's a day
Answer: 6 - 5
<u>Step-by-step explanation:</u>
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
The formula for the surface area of a cylinder is:

Plug in what we know, use 3.14 to approximate for pi(radius is half the diameter, 30/2 = 15):

Simplify:

Subtract 1413 to both sides:

Divide 94.2 to both sides:

So the height is approximately 45 millimeters.