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3 years ago

Someone please help. i’m so stuck on this problem

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Why you have to put a foot beside your work .

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3 years ago

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

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

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

$\tan\dfrac x2=\dfrac15$

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3 years ago

Y=? cm<br> A15<br> B.10<br> C.3<br> D.5

Gelneren [198K]

What is the question?

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4 years ago

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I would recommend using something like Math Papa for future problems like this.

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I know that the surface area is equal to 264 but I need to know how to get there (the steps)

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You posted the question twice ... I have repeated the answer here .. .

Find the area of all the sides:
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1/2 x 6 x 8 = 24
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Add them up:
90 + 72 + 24 + 24 + 54 = 264 square metres

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3 years ago

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