2 years ago

PLEASE HELP!!!!

Mathematics

1 answer:

yan [13]2 years ago

3 0

1250/10=125

Hope this helps and have and AWESOME night!!! :)

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A squirrel in a long glide typically covers a horizontal distance of 16 m while losing 8.0 m in altitude. during this glide, wha

iragen [17]

Let the starting position be A, and the ending position of the glide be B.

The triangle ABC shown in the figure, is a right triangle with side lengths 16m and 0.8 m.

The angle of the squirrel's path below the horizon is BAC.

Using right triangle trigonometry:

tan(ABC)=(opposite side)/(adjacent side)=0.8/16=0.05

to find m(ABC) we calculate arctan(0.05) which is 2.86°

Answer: 2.86°

4 0

2 years ago

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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$