They ask me that all the time ;)
Area of a sector: 1/2r^2 theta
Need theta
Let x be theta for now
42.25 pi = 1/2r^2x
84.5pi = r^2x
84.5pi = 169x
x = 84.5pi/169 = roughly 1.57 in radians
Radians => degrees is 1.57 * 180/pi or roughly 90.
<span>We want to show that f(g(x)) = x and g(f(x)) = x.
So to do that, we need to calculate f(g(x)) and g(f(x)) explicitly.
Let's begin with f(g(x))
Now, f(g(x)) = f(4/x), by definition of g, as g(x) = 4/x
What then is f(4/x) equal to? Use the definition of f.</span>
Answer: 61 boys Bc 5 is more of 4 so if there’s 60 girls it’s 61 boys, simple enough
Answer:
see explanation
Step-by-step explanation:
Using the Addition/ Subtraction formulae for cosine
Consider the left side
cos(x - y) - cos(x + y)
= cosxcosy + sinxsiny - (cosxcosy - sinxsiny) ← distribute
= cosxcosy + sinxsiny - cosxcosy + sinxsiny ← collect like terms
= 2sinxsiny = right side ⇒ proven
