Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
Answer:
Step-by-step explanation:
If y= x + 4 then plug it into the other equation where the y is. So 5x + x +4=22. Then solve.
for x for y
5x + x + 4=22 y=x +4
6x+4=22 y=3+4
22-4=18 y=7
6x = 18
18/6=3
x=3 so, x=3 and y=7
The ratio being 1:5:3, you would have to just make those numbers still in that ratio, but they have to add up to 180 degrees.The angles would be 20 degrees, 100 degrees, and 60 degrees. Hope that helped. :)
The Golden number is one of the roots of x²-x-1=0 and x = (1+√5)/2= 1.618
It's just a mathematical constant you can come across in trigonometry, geometry, sequence like Fibonacci and others. You may find it in fractals also and in many shapes in the nature but not necessarily always true.
It might be a coincidence in some natural shapes, but definitely it is a recognized math contant useful in many math domains
