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:
1- G
2- C
3- G
4- A
Step-by-step explanation:
choose has brainlist
Answer:
$94
Step-by-step explanation:
Let the price of a bowl, a pan and a dish be $b, $p and $d respectively.
14b +9p +12d= 135 -----(1)
10b +6p +8d= 88 -----(2)
Subtracting equation (1) with equation (2):
14b +9p +12d -(10b +6p +8d)= 135 -88
Expand:
14b +9p +12d -10b -6p -8d= 47
4b +3p +4d= 47
Multiply both sides by 2:
8b +6p +8d= 47(2)
8b +6p +8d= 94
Thus, the price of 8 bowls, 6 pans and 8 dishes is $94.
Answer:
David receives £90
Step-by-step explanation:
Let David's share be D
Let Mark's share be M
Let Henry's share be H
From the question, we obtained the following data:
David gets twice as much as Mark i.e
D = 2M
M = D/2
Mark gets three times as much as Henry i.e
M = 3H
H = M/3
H = (D/2) /3
H = D/6
The sum of their shares is £150 i.e
D + M + H = 150
D + D/2 + D/6 = 150
Multiply through by 6 to clear the fraction
6D + 3D + D = 900
10D = 900
Divide both side by the coefficient of D i.e 10
D = 900/10
D = 90
Therefore, David receives £90
Answer:
If division of the packages in fractional numbers was possible, it should be 2.667 packages per pile.
The answer lies between 2 and 3 packages per pile.
Step-by-step explanation:
This can be solved as a simple division.
To split 8 packages in 3, this should correspond to 8/3≈2.667.
If division of the packages in fractional numbers was possible, it should be 2.667 packages per pile.
Other way to think about it is like mentally allocating a package in each pile. We can go up to 2 packages per pile (a total of 6 packages), and we can only add a package to 2 piles, letting the last pile to have only two packages.
Then, we have 2 piles with 3 packages and one pile with 2 packages.
