Answer:
x = 4 sqrt(5)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + x^2 = 12^2
64+ x^2 =144
Subtract 64 from each side
x^2 = 144-64
x^2 =80
Take the square root of each side
sqrt(x^2) = sqrt(80)
x = sqrt(16*5)
x = 4 sqrt(5)
Create the expression from the data:
The gallon of paint begins as a whole: 8/8
Then he removes 5/8 gallons of paint from the can: - 5/8
Then he adds 5/8 of a different colored paint to the can: + 5/8
Now combine:
8 / 8 - 5 / 8 + 5 / 8 = 8/8
The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.
Please can you write a whole question
