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3 years ago

14

Which shows how to determine the volume of the pyramid? A square pyramid with a base of 3 meters by 3 meters and a height of 5 m

eters. V = one-third (3) (3) (5) V = one-half (3) (5) V = one-half (3) (3) (5) V = one-third (3) (5)
PLEASE HELP!!

2 answers:

deff fn [24]3 years ago

5 0

Answer:

The first one

Step-by-step explanation:

OLga [1]3 years ago

4 0

Answer:

A

Step-by-step explanation:

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In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

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${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

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