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2 years ago

Divide n^3+3n+1 by n-3 find remainder and quotient

Mathematics

1 answer:

Colt1911 [192]2 years ago

4 0

Answer:

Step-by-step explanation:

= n^2 + (3n^2 + 3n + 1 / n-3) = 3n

= BTW (/ = Fraction) and ^ means exponent

= n^2 + 3n + (12n + 1 / n - 3) = 12

= 37 / n - 3

Answer: n^2 + 3n + 12 +( 37 / n - 3)

Hope this helps :D

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3 years ago

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Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

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3 years ago

Which of these numbers is closest to the golden ratio? 1.16, 1.29, 1.62, 1.98

kondor19780726 [428]

since the golden ratio its 1.618 I believe it would be 1.62

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3 years ago