Hope this helps! This is the long division way.
Answer:
C.
Step-by-step explanation:
Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:

That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator
Answer:
Step-by-step explanation:
<u>The volume of the prism:</u>
<u>If each of the dimensions is doubled, then the volume becomes:</u>
- V₁ = 2l*2w*2h = 8lwh = 8V
The larger prism has 8 times greater volume
I got 14 and 12 but there are other answers as well.
How I got that: I worked backwards. I looked at what two values I could multiply to get 4x^2 and because 4x^2 is a perfect square I just went with the square root (2x). Then I looked at what two pairs I could multiply to get 12 and I went with 3x4 and 6x2. I then plopped those numbers into binomials [(2x+3)(2x+4) and (2x+2)(2x+6)] and simplified (multiplied them) to get the middle value. (I hope this helps)