We know that
[volume of a <span>pyramid]=[area of the base]*h/3
</span><span>a) The scale factor of the smaller pyramid to the larger pyramid in simplest form
</span><span>
12/20----------> 3/5
the answer Part a) is 3/5
</span><span>(b) The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid
[</span>The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid]--------> (3/5)²------> 9/25------> 0.36
[volume of a larger pyramid]=8192 cm³
h=20 cm
so
[8192]=[area of the base larger pyramid]*20/3
[area of the base larger pyramid]=8192*3/20------> 1228.80 cm²<span>
</span>[area of the base smaller pyramid]=(3/5)²*1228.80-----> 442.37 cm²
The ratio of the area of the base of the smaller pyramid to the base of the larger pyramid-----------> 442.37/1228.8--------> 0.36
0.36--------> is equal to (3/5)²
the answer part b) is 0.36
<span>(c) Ratio of the volume of the smaller pyramid to the larger
</span>
[Ratio of the volume of the smaller pyramid to the larger]=(3/5)³---> 27/125
27/125------> 0.216
the answer Part c) is 0.216
<span>(d) The volume of the smaller pyramid
[</span>The volume of the smaller pyramid]=0.216*8192------> 1769.47 cm³
<span>
the answer part c) is </span>1769.47 cm³<span>
</span>
125.40
What is the x 5 for?
Answer:
We conclude that:
Step-by-step explanation:
Given the expression
Rewrite as 
so
Apply difference of two squares formulas:
so
∵ 
,
Therefore, we conclude that:
Answer:
N = Q/3 - V
Step-by-step explanation:
Q = 2N + 3V solve for N
Subtract 3V from both sides
Q - 3V = 3N
Divide both sides by 3
(Q - 3V)/3 = N
Q/3 - V = N
or
N = Q/3 - V
Depends on the confidence level
