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anastassius [24]
3 years ago
11

Find the arc length of a 30 degree sector of a circle with a radius of 10 cm

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
Arc length = Ф/360 * 2πr
= 30/360 * 2*3.14*10
= 1/12 * 62.8
= 5.23

In short, Your Answer would be 5.23 cm

Hope this helps!
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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
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SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

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Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
1 year ago
The volume of a prism with base B is 20 cubic centimeters. Find the area of the base of the height of the prism is 5 centimeters
marshall27 [118]

Answer:

C 12.5cm is the answer good luck

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Answer:

Step-by-step explanation:

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