2 years ago

Can any one help me with these questions

Mathematics

1 answer:

qwelly [4]2 years ago

3 0

35divide by 3 and your answer

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What is the factored form of the polynomial?

mihalych1998 [28]

Step-by-step explanation:

The answer is A. (x - 4)(x - 12).

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3 years ago

Select all the common denominators for

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3 years ago

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if your weekly salary is 1,015,how much do you have left each week after you pay for the following, rent - 443.50,cable tv - 23.

zheka24 [161]

Your answer would be $378.01

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2 years ago

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I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

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3 years ago

Does anyone know how to work this.

Shtirlitz [24]

I think it's C.

Let me know!

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3 years ago

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