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dem82 [27]
3 years ago
12

Round 0.0645 g to 2 significant figures: ___ g 0.064 0.06 0.065 0.1

Mathematics
2 answers:
Anna11 [10]3 years ago
6 0
0.065 as 0 doesn't count as a significant number
Mariulka [41]3 years ago
5 0

Answer:

0.065 g

Step-by-step explanation:

Given: 0.0645

Round the given decimal to 2 significant figures.

Round: To reduce the decimal digits which changes last digits.

If digits greater than 5 then previous digits increase by 1

If digit less than 5 then no change in last digit.

Round of 2 decimal place: Write two digits after decimal.

Significant figure: The number of digits from first digits 1 to 9 .

In the given decimal number. Number of digits after decimal is 4 and significant is 3

0.0645 Round off to 2 significant number.

0.0645 ⇒ 0.065 g

The unit of number doesn't change.

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Explanation:

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If we were to isolate sine, then,

\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, \cos x = \sqrt{1-\sin^2x}\\\\

Cosine is also positive in this quadrant.

-------------

So,

\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2

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\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2

is an identity as long as 0 < x < pi/2

5 0
2 years ago
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Evgesh-ka [11]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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