Remember that x =r cos theta and y = r sin theta. Thus,
x + y = r (cos theta + sin theta) = 4, or
r (cos theta + sin theta) = 4, or
4
r = -------------------------------
cos theta + sin theta
The clues translate to
n/d = 2/3
(n+2)/(d+2) = 3/4
Solving this by cross multiplying both:
3n = 2d
3(d+2) = 4(n+2) => 3d + 6 = 4n + 8
then substituting d = 3/2 n in the second:
9/2n - 4n = 2 => 1/2 n = 2 => n = 4
if n=4 then d = 3/2*4 = 6.
So the original fraction was 4/6
3.
the volume equation for cylinder
5. diameter =half of radius
4+2×8=20
A) 50÷5+10= 20
B) 150+3-2=48
C)50÷5+4=14
D)150÷3+14=64
So A is the correct answer.
