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horsena [70]
3 years ago
7

What is the volume of the composite figure?

Mathematics
2 answers:
AleksandrR [38]3 years ago
6 0

For this case we must find the volume of the figure composed of a parallelepiped and a pyramid. The volume of the parallelepiped is given by:

V = a * b * c

Where a, b and c are the sides

V = 20 * 15 * 12\\V = 3600 \ units ^ 3

For its part, the volume of the pyramid is given by:

V = \frac {b * h} {2} * Depth

Where:

b = 15\\h = 16\\Depth = 20

V = \frac {15 * 16} {2} * 20\\V = 2400 \ units ^ 3

Thus, the total volume is given by the sum of the volumes.

Vt = 3600 + 2400\\Vt = 6000 \ units ^ 3

Answer:

D


SIZIF [17.4K]3 years ago
5 0

Answer:

3720 units^3

Step-by-step explanation:


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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
Please help! I’m not good at this type of stuff
docker41 [41]
What’s the question
8 0
3 years ago
Read 2 more answers
PLEASE HELP! 40 points!! I've been stuck on this for 30 minutes constantly coming up with all different answers, please help me.
hjlf

Answer:

36 units^2

Step-by-step explanation:

The area of a triangle is 1/2*base*height. Knowing this is just 2 triangles means you solve for 1 triangle, then multiply that by 2

4 0
3 years ago
Read 2 more answers
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