3 years ago

1 1/3÷3/5= whats the answer i need help

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

4/3 x 5/3 = 20/9 would be the answer

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Natalka [10]

The answer is answer B!

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2 years ago

Please help asap 30 pts

Soloha48 [4]

the answer is c or 3

X=5/3,-1

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Find the value of y when x = 16. <br> y=9 when x=8

goldfiish [28.3K]

Answer:When x=16 , y=36 . Explanation: If y varies directly as x , then if y increases, x increases, and if y decreases, x decreases.

Step-by-step explanation: because

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2 years ago

Find the exact value of cot(15degrees) using half angle formulas?

liubo4ka [24]

Double angle (or half angle, depending how you look at it) identities:

$\cos^2\dfrac x2=\dfrac{1+\cos x}2$

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

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

So we have

$\cot^215^\circ=\dfrac{1+\cos30^\circ}{1-\cos30^\circ}=\dfrac{1+\frac{\sqrt3}2}{1-\frac{\sqrt3}2}$

$\implies\cot^215^\circ=7+4\sqrt3$

$\implies\cot15^\circ=\sqrt{7+4\sqrt3}=2+\sqrt3$

Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know $\cos15^\circ>0$ and $\sin15^\circ>0$ , so it's also the case that $\cot15^\circ>0$ .

Also, the reason we have equality in the last step can be explained like so:

$7+4\sqrt3=4+4\sqrt3+3=4+4\sqrt3+(\sqrt3)^2=(2+\sqrt3)^2$

(not unlike the process used to complete the square)

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3 years ago

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3 years ago