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9966 [12]
3 years ago
5

The measure of c is?? Using the pythagoreom therom

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0
<h2><em>To find the Hypotenuse, use this formula.</em></h2><h2><em></em>A^2 + B^2 = C^2.<em></em></h2><h2><em>6 x 6 = 36.</em></h2><h2><em>8 x 8 = 64.</em></h2><h2><em>64 + 36 = 100.</em></h2><h2><em>Find the square root of 100.</em></h2><h2><em>(This can be done using most calculators.)</em></h2><h2><em>The sqrt of 100 is 10. The Measure of C is 10.</em></h2>
lord [1]3 years ago
3 0
C=10 Use the Pythagoreom Therom (A^2+B^2=C^2) (A) 6^2=36 (B) 8^2=64 (A^2)36+(B^2)64=(C^2)100 square root of 100 is 10
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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
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The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

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r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
2 years ago
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