A pool is 6/7 full of water. If 1/6 of the water leaks out, how full will the pool be?

Subtract 1/6 from 6/7

First rewrite the fractions to have a common denominator:

6/7 = 36/42

1/6= 7/42

Now you have 36/42 - 7/42 = 29/42

The pool is 29/42 full

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²