Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that , where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of , we have:
Answer:
63
Step-by-step explanation:
use tangent formula
Answer:
Step-by-step explanation:
Make a system of equations
Give the hot and cold faucets variables
Set x to be the minutes it takes for the hot water faucet to fill up the tub and Set y to be the minutes it takes for the cold water faucet to fill up the tub
She first equation is x = 2y because the hot faucet takes <em>2 times</em> as much time as the cold water
The second equation is x + y = 5 because if you add the number of minutes each takes to fill a tub, it will add up to 5 minutes
Now you have the equations
x = 2y
x + y = 5
So you can plug the first equation in for x in the second one to make
2y + y = 5
which equals 3y = 5
Then you divide 3 from both sides to get
y =
Since y is the number of minutes the cold water faucet takes to fill the tub, then the cold faucet takes minutes for the cold water faucet to fill the tub itself