Answer:
Step-by-step explanation:
, where b, h, w are base, height and width respectively.
, where h is the height, and A_b is the area of the base.
First let's calculate the volume of the paralelipiped by the first formula.

Then let's find out the height of the pyramid, which is 12 - 4 = 8 in.(See drawing)
Then the area of the base of the square pyramid is simply.

Now we can find the volume of the pyramid.

To find the total volume, let's add both volumes.

1 hour = 4/5 gallon
8 gallon ÷ 4/5
= 8/1 × 5/4
= 40/4
= 10
the answer is A
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
Answer:
when you translate you move the "x" term.
so moving to the right is x-2 (sign opposite of direction)
g(x) = (x-2) + 2
Step-by-step explanation:
Try this option:
using a formula 'V=1/3 * Area_of_base * height' it is possible to find volume of the sand:
V=1/3 * 3 * 5²=25 cm³