<span>2 13/20, that should work</span>
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
*3545*
Step-by-step explanation:
52 square + 29 square = 3545
then square root 3545 = 59.539 ( round it if you want)
My method is on a) you would just subtract 12 and 7 which is 5. You can do the rest and then when you get all the answers put them from smallest to largest
Answer:
2^2 * 2^3 = 32
2^5 = 32
Step-by-step explanation:
2*2*2*2*2 = 32