Help please! Not sure what this is

Mathematics

2 answers:

andrezito [222]3 years ago

4 0

The answer is A because it not rotation

Lesechka [4]3 years ago

3 0

B. Rotation
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!

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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

The probability that a worker with occupational exposure to dust contracts a lung disease is 0.2. three such workers are checked

Elena-2011 [213]

Answer:

i think b. at least one of them contracted a lung disease

5 0

3 years ago

4(n+2+2n+5+n+6)=-32 How do you show the problem?

yarga [219]

Answer:

n = -21/4 <em>or </em>-5.25