Since the angle are both 45 degrees, then you know that both legs are equal=12.
so to find the hypotenuse, you use the pythagorean theorem:
12^2+12^2= c^2
144+144=c^2
288=c^2
square root(144) x square root (2)=c
12 square root 2 is the answer, so D.
Answer:
2/3x^2
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let's tackle each statement at a time:
<em>Jamal filled his gas tank of which he used
.</em>
We need to express the unit (a gas tank) in terms of fractions so that we can substract
.
The denominator of the second term of our substraction is
, so we can express the first term as
. Now that we have the same denominator in both terms, we can proceed to define
as a common denominator and rewrite the expression as:
, which gives us a result of
, which is what Jamal has left after visiting his grandfather. This expression cannot be simplified anymore.
<em>Then, he used
of the remaining
.</em>
We express it as if he had
of the remaining <em>
.</em>:

We multiply the terms:

And simplify:


So, at the end, Jamal has
of his tank left.