Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from each side
5c-5c+16.5=13.5+10c-5c
16.5 = 13.5 +5c
Subtract 13.5 from each side
16.5 -13.5 =13.5-13.5 +5c
3 = 5c
Divide by 5
3/5 = 5c/5
3/5 =c
Yes you can I hope this helped lol
Use a half-angle identity to find the exact value of sin pi/8
Log(u⁶)
6log(u)
3log(u) + 3log(u)
log(u) + log(u) + log(u) + log(u) + log(u) + log(u)
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.
