Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
- side: b = 10in
- apothem: a = 8 in
A = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
Answer:
-1, 0, 0.1, 1
Step-by-step explanation:
-1 is a negative value, which makes it before 0
0.1 is less than 1 but more than 0
Sorry i don't know. i tried. Can you try and help me?
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>
Answer: D
Step-by-step explanation:
Sketch and label the sampling distribution for the sample proportion of games containing a big bang, according to the Central Limit Theorem, assuming that the grandfather's null hypothesis is true. Also check whether or not the conditions hold for the CLT to apply. Of the 95 games in our sample, 47 contained a big bang.
