Answer:
the 3rd one
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 n=0
1 1 n=1
1 2 1 n=2
1 3 3 1 n=3
1 4 6 4 1 n=4
1 5 10 10 5 1 n=5
1 6 15 20 15 6 1 n=6
This is where n is the exponent in
.
Now we want to expand:
or we we can rewrite as 
.
Let's replace 
with 
and 
with 
in the expansion:
Let's simplify a bit:
Answer:
40
Step-by-step explanation:
8+1=9
16+2=18
24+3=27
32+4=36
<u>4</u><u>0</u><u>+</u> 5=45
Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>
