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4 years ago

Hi what is the answer

Mathematics

2 answers:

saveliy_v [14]4 years ago

5 0

Answer:

y = 5x

y = 60 when x =12

Step-by-step explanation:

Directly proportional means

y = kx where k is the constant of proportionality

We know y and k so we can find k

30 = k*6

Divide each side by 6

30/6 = 6k/6

5 =k

The equation is

y = 5x

We can find y when x=12

y = 5*12

y = 60

elena-s [515]4 years ago

4 0

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

We can see that when you multiply x by 5, you get the y value.

So, 12*5 = 60.

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Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

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How many squares are on the chessboard

natka813 [3]

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That’s is your answer
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Read 2 more answers

Nine less than twice a number is 49.<br> What is the number?

ratelena [41]

Answer:

Step-by-step explanation:

Assume the number as x

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3 years ago