Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Answer:
56
Step-by-step explanation:
80 x (7 / 10) = 56
Answer:
1 thus b: is the Answer
Step-by-step explanation:
Simplify the following:
(3 (15 + 4)^2 + 2 (20 + 5)^2)^0
(3 (15 + 4)^2 + 2 (20 + 5)^2)^0 = 1:
Answer: 1
33/4 is the same as 8 1/4
so that means that matt bought the Volvo for 8 1/4 times as much as the car his parents bought.
therefore... 8,000 times 8.25 = 66,000
The left term is (5x)³.
The right term is 10³.
So, you can use the formula for the factorization of the difference of cubes.
... a³ - b³ = (a-b)(a² +ab +b²)
Here, you have a=5x, b=10, so the factorization is
... 125x³ -1000 = (5x-10)(25x² +50x +100)