Answer: 1,162.9 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a square pyramid: 1/3 x base area x height
Where
base area = base side length ^2
Replacing with the value given:
Base area = 15.9^2
base area : 252.81 cm2
Back with the volume formula:
V = 1/3 x base area x height
Replacing with the values given and solving for V (volume)
V = 1/3 x 252.81 x 13.8 = 1,162.9 cubic centimeters
Feel free to ask for more if needed or if you did not understand something.
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Answer:
10
Step-by-step explanation:
0.4*25
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
