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3 years ago

Write the exponent for the expression. 1/9 x 1/9 x 1/9=? HELP FAST plz

1 answer:

6 0

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is $\frac{1}{9} ^3$ or 1/9 to the 3rd power.

<em>Down is a formula I made!</em>

Main number: 1/9

Repeating how many times: 3

Expression: $\frac{1}{9} ^3$

Therefore, 1/9 to the 3rd power is 1/729.

$\frac{1}{9}^3=\frac{1}{729}$

<em>Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.</em>

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3 years ago

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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

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

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3 years ago

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Mariana [72]

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Step-by-step explanation:

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2 years ago

a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum

laiz [17]

Answer:

I believe the answer would be 186

Step-by-step explanation:

241-55=186

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2 years ago