I believe your answer is the first option, 1/2 ft.
*Volume is expressed by length x width x height.
If we multiply the length 5/7 and the height 1 & 1/2 we get 15/14:
*To multiply fractions you must multiply across, multiply the numerator (or top number) by the numerator and the denominator (bottom number) by the denominator.
- Let's turn 1 & 1/2 into a mixed fraction to make things a little easier. 1 & 1/2 also equivalent to 3/2
-Multiply the numerators together, 5 from the 5/7 and now 3 from the 3/2
(5 x 3 = 15)
-Multiply the denominators together, 7 from the 5/7 and 2 from the 3/2
(7 x 2 = 14)
Therefore, 5/7 x 1 & 1/2 is 15/14.
Now what multiplied by 15/14 equals 15/28?
Well... 1 x 15 = 15. That gives us our numerator, 1.
2 x 14 = 28... and we have our denominator 2.
Putting those two together we get a fraction of 1/2. Your width is then 1/2 ft.
I'm so sorry for all the work here! I know it's a lot. I hope it's not too confusing to look at. Hopefully this helps!
Together, the area of the two bases is
(6 in)×(8 in) = 48 in²
The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
(2 in)×(24 in) = 48 in²
The total area is the sum of these
area = 48 in² +48 in² = 96 in² . . . . . . . . . matches the 3rd selection
5x^2y is the answer which leaves you with 3y^2 and -4xz
Answer :

Step-by-step explanation :
To find the product of

First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence


we now apply the law of indices

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain