1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or
1 answer:
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Any complex number can be written in trigonometric form as
where is the modulus of
and
is its argument, i.e. the angle
makes with the positive real axis in the complex plane.
We have
and
Then
Answer:
0.2225 gr/mile
Step-by-step explanation:
Let's work out first the amount of CO sent out in 1990.
The population we estimated in 12.5 million people with a total of driven miles per year of about
12.5 million*8,700 = 108,750 million miles.
With an CO emission factor of 0.9 g per mile, we would have a total of CO emitted rounding 0.9*180,750 = 97,875 million grams
Now, we must estimate the population for 2020.
Since we are assuming an exponential growth, the population in year t is given by a function
where C and k are constants to be determined.
We can take 1980 as year 0. This way calculations are lighter. 1990 is year 10 and 2020 is year 20.
So P(0) = 10.3 and C=10.3
So far we have
Given that P(10)=12.5
And the function that models the population growth is
We need P(20)
If the miles driven per person per year remains constant at 8700 mi/yr.person, then we have a total miles driven of
15.17*8,700=131,979 million miles, so the CO emitted would be 0.9*131,979=118,781.1 million grams.
The 30% of the CO sent out in 1990 is 0.3*97,875=29,362.5 million grams.
We must reduce 118,781.1 down to 29,362.5
Hence the new CO emission factor would be
29,362.5/131,979 = 0.2225 gr/mile