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3 years ago

13

81 is 18% of what number?

1 answer:

Gnom [1K]3 years ago

7 0

The answer is: 450
First we need to see if we need to find the percent, part, or whole. In this case its the whole.
First, you set up a proportion: 18/100 = 81/x
Next, you cross multiply: 18x(8100)
Then, you divide: 8100÷18 = 450
So 450 is your answer.
Hope this helps! :D

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Find the exact value by using a half angle identity.tan 75°

kramer

The trigonometric function is given as

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Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

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Answer:

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Step-by-step explanation:

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Divide both sides by -2

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Therefore, the solution to the system of the equations will be:

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