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3 years ago

Prove that 3^17−3^15+3^13 is divisible by 73.

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

Answer:

3^13*73

Step-by-step explanation:

3^17-3^15+3^13 So you factor out 3^13

=3^13(3^4-3^2+1)

3^4-3^2+1=73

3^13*73

Is this RSM?

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4 years ago

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4 years ago

Trig Help please! 50 points!

IgorLugansk [536]

Answer:

Step-by-step explanation:

Remember the mnemonic: SohCahToa, where:

$\sin(\theta)=\text{opposite}/\text{hypotenuse}\\\cos(\theta)=\text{adjacent}/\text{hypotenuse}\\\tan(\theta)=\text{opposite}/\text{adjacent}$

Let's determine our side lengths first.

Note that our angle is A. So, we have to determine the sides with respect to A.

The opposite side to A is 16.

The adjacent side is 12.

And the hypotenuse is 20.

With this, we can find our trig ratios:

Sine:

$\sin(A)=\text{opp}/\text{hyp}$

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

$\sin(A)=16/20$

Reduce:

$\sin(A)=4/5$

Cosine:

$\cos(A)=\text{adj}/\text{hyp}$

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

$\cos(A)=12/20$

Reduce:

$\cos(A)=3/5$

Tangent:

$\tan(A)=\text{opp}/\text{adj}$

Substitute 16 for the opposite and 12 for the adjacent. This yields:

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Reduce:

$\tan(A)=4/3$

So, our answers are:

$\frac{4}{5}, \frac{3}{5}, \text{ and } \frac{4}{3}$

Out of the answer choices, the choice that represents this is C.

So, our correct answer is C.

And we're done!

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3 years ago

Read 2 more answers