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3 years ago

Simplify the expression 1/2(x-10) - 3

Mathematics

2 answers:

Butoxors [25]3 years ago

4 0

It’s simplified to X/2-8

tatiyna3 years ago

4 0

1/2x -8 that’s the answer

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Alja [10]

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2 years ago

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

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$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

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3 years ago

Marvin has a bag that contains 3 red marbles and 9 blue marbles he will randomly select a marble from the bag what is the probab

Anna71 [15]

Answer:

now how

Step-by-step explanation:

because he likes red marbles

i dont know

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2 years ago

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