Answer:
d. 
Step-by-step explanation:
We have been given that Cheng measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
First of all, we will find height of each pyramid by dividing height of whole sculpture by 4 as:
We know that volume of a pyramid is equal to 1/3 of base area times height that is 
, where b represents area of base.
Since volume of one pyramid is equal to 2 cubic feet, so volume of 4 pyramids will be 4 times 2 cubic feet that is 8 cubic feet.
Therefore, Cheng must purchase 8 cubic feet of material.
For x = ay - bz:
Add bz to both sides:
ay = x + bz
Divide a on both sides:
y = (x + bz)/a
For xy + yz = 10:
Distribute y from the left side:
y * (x + z) = 10
Divide by x + z:
y = 10/(x + z)
For (ab - ac)/z = x:
Multiply by z on both sides:
ab - ac = xz
Take out a from the left side:
a * (b - c) = xz
Divide by b - c on both sides:
a = xz/(b - c)
The total area of the figure is the area of the square plus the area of the rectangle plus the area of the triangle.
area of the square: (6)*(6)=36cm^2
area of the rectangle: (7)*(6)=42cm^2
area of the triangle: (1/2)*(8)*(6)=24cm^2
total area
At=36+42+24=102cm^2
First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3
Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.
So we get 15/1 X 3/20 =
.
We get 45/20 which can be simplified to
9/5 which can be simplified to
2 1/4.
So the answer is
9/4 or
2 1/4.
