Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
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Answer:
x =8.34654305
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 33 = 7/x
Switching places with the x and the 33
x = 7/ cos 33
x =8.34654305
Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>
<h3>Number of employees in 2016</h3>
This can be calculated by the formula:
= Employees in 2009 x ( 1 + rate of increase)
Solving gives
= 19,100 x (1 + 14.8%)
= 21,926.8
= 21,927 people
In conclusion, there will be 21,927 people in 2016.
Find out more on rates of increase at brainly.com/question/3040628.