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bagirrra123 [75]
3 years ago
13

Find the value of sin’60°+2tan45°-cos30°​

Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

The answer is 2

Step-by-step explanation:

sin60°+ 2 tan45° - cos30°

sin60° = √3/2

2 tan45° = 1

cos30° = √3/2

sin60°+ 2 tan45° - cos30°

√3/2 + 2(1) - √3/2

√3/2 - √3/2 + 2(1)

0 + 2 = 2

Thus, The answer is 2

<u>-TheUnknownScientist</u>

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Step-by-step explanation:

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3 0
3 years ago
the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a
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Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

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Where:

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Now we obtain the solution of this differential equation:

\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt

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Where:

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t - Time, measured in years.

And time is cleared within the equation:

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Then, time constant can be found as a function of half-life:

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If we know that t_{1/2} = 5730\,yr and \frac{m(t)}{m_{o}} = 0.35, then:

\tau = \frac{5730\,yr}{\ln 2}

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