Suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?

1 answer:

4 0

The question should be accompanied with choices, below are the choices:

a) sqrt(1-x^2)
b) x/sqrt(1-x^2) 
c) sqrt(1-x^2)/x 
D) 1/sqrt(1-x^2)

The answer should be c) sqrt(1-x^2)/x .

cos u = sqrt (1 - sin^2 u) = sqrt(1 - x^2), and cot u = cos u / sin u.

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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 $k=5$

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

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi

Grace [21]

I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.

The hypotenuse is 9 cm. the angle is found by:

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.

cos 60 = x/9

9 cos 60 =x

x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

2 years ago

Make x the subject of the following relations. 2y+3=5x-18

nekit [7.7K]

Step-by-step explanation:

2y+3=5x-18

swap both sides

5x-18=2y+3

add 18 to both sides

5x-18+18=2y+3+18

5x=2y+21

divide both sides by