x+y=10
x-y=8, x=y+8
y+8+y=10
2y=2
y=1
So, x=10-y=10-1=9.
Numbers Would be 9 and 1.
V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)
To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614
Final Answer: x is around 75 yards</span>