1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is
11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than . Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. (what do I type out or draw out)
1 answer:
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Answer:
A. number of decayed atoms = 73.197
Step-by-step explanation:
In order to find the answer we need to use the radioactive decay equation:
where:
N0=initial radioactive atoms
t=time
k=radioactive decay constant
In our case, when t=0 we have 1,000,000 atoms, so:
Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:
A. atoms decayed in a day:
Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197
B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.