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:

Step-by-step explanation:
Step one:
given data
heigth/depth = 3.5m
radius= 9m
Step two:
The shape is that of a cylinder
Hence the volume of the pool is

substitute

Answer:
$127.5
Step-by-step explanation:
150*15%=22.5.
150-22.5=127.5
Don't buy this, totally not worth it.
Answer:
a. Negative discriminant: above
b. Positive discriminant: below
c. Discriminant is zero: on
Step-by-step explanation:
If the discriminant is negative, then there are no real zeros. We have an upward-facing parabola, then the vertex is located above the x-axis
If the discriminant is positive, then there are two different real zeros. We have an upward-facing parabola, then the vertex is located below the x-axis
If the discriminant is zero, then there is one zero. We have an upward-facing parabola, then the vertex is located on the x-axis
Answer: 33
Step-by-step explanation:
Angles inscribed in the same arc are congruent, so
