Replace the variables with numbers to find the expression
        
             
        
        
        
Answer:
Step-by-step explanation: multiply 4 by 12 then 4 by 3 then 4 by 9.
 
        
             
        
        
        
We are given a table showing the population and the area of different cities, A, B, C and D. To calculate the population density, divide the population over the total area of the city. The following statements are true:
<span>--The population density of City B is greater than that of City C.
--City D has the lowest population density of the four cities.
</span><span>--The population density for City B can be found using the ratio 48,592 : 26.</span><span>
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4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.   does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3.  So our numerator is 1/2 and our denominator is sqrt(3)/2.
 does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3.  So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos.  So what degree has sinx as 1/2 and and cosx as sqrt(3)/2?  Well, 30 degrees does, but 30 degrees is not within the range we are given.  That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2?  According to the unit circle, 150 degrees and 210 degrees does.  They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.