Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
Answer:
independent
Step-by-step explanation:
, it has no effect on the number of red socks so thewhen he draws out a sock the event is not affected by the draw a blue sock or the bla ck sock or the brown sock
Answer:
Step-by-step explanation:
x= -5
100 lbs = 1 lb of melon 99 lb water
Let "x" be weight of water:
percentage = weight of water / (1 lb melon + water)
.98 = x / (1 lb melon + x)
.98 = x / 1 +x
.98 + .98x = x
.98 = .02x
x = 49
49 lbs of water
1 lb melon + 49 lbs water = 50 lbs total
49 / 50 = 98%
Therefore, 50 POUNDS of water evaporated
