The area of a polygon equals
area = circumradius² * number of sides * sin (360 / # of sides) / 2
area = 77² * 20 * sin (360 / 20) / 2
area = 77² * 20 * sin (18) / 2
area = 118,580 * 0.30902 / 2
area =
<span>
<span>
<span>
36,643.59
</span>
</span>
</span>
/ 2
area =
18,321.8 square millimeters
Find the slope of the line connecting (1990,435000) and (2005,482300):
482300-435000 47300
m = ----------------------- = ---------------- = 3153/yr (approx)
2005 - 1990 15 yr
Use the point-slope formula to find the equation of this str. line:
y-435000 = (3153/yr)(x-1990)
The year 2020 is 30 years after 1990. Thus, the expected pop in 2020 is
given by y-435000 = 3153(30) = 94590, so that y = 529590.
Answer:
Minimum percent of the vote that candidate Towne is expected to recieve:
m=51% - 6.3% * 51% =47.787%
Maximum percent of the vote that candidate Towne is expected to recieve:
M=51% + 6.3% * 51% = 54.213%
Solution:
Margin of error: E=6.3%
Minimum percent of the vote that candidate Towne is expected to recieve:
m=51% - E * 51%
m=51% - 6.3% * 51%
m=51% - 51% * 6.3 / 100
m=51% - 3.213%
m=47.787%
Maximum percent of the vote that candidate Towne is expected to recieve:
M=51% + E * 51%
M=51% + 6.3% * 51%
M=51% + 51% * 6.3 / 100
M=51% + 3.213%
M=54.213%
