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
74 is a composite number. 74=1*74 or 2*37. Factors of 74: 1,2,37,74. Prime factorization: 74=2*37.
Marcia started work at 7.32 and finished work at 3.43. In total she worked 8 hours and 11 minutes.
Convert the 11 minutes into decimal form:
11 minutes / 60 minutes in an hour = 0.18 (rounded)
Multiply her hourly rate by her hours worked:
8.18*6.75 = $55.125 (you can round this up or down).
Answer: 0.4x = 3 is the answer
Step-by-step explanation: