10.2=10.20
So, 10.2 is bigger than 10.02
You cannot assume the angles add to 90, but you know since BD is an angle bisector that ABD is equal to DBC, or x-5=2x-6
x=1. this is the correct solution to the equation but gives negative angles when plugged in which isn't possible. there must be something wrong work the question
First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.
At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.
circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm
Now if it turns 16 times we'll have 16 times the circumference.
16 * (25.133 cm)
= 402.128 cm
The probability is 1/1024.
Each tetrahedron has a 1/4 chance of landing on 3, since there are 4 sides and only one of them is marked 3.
Each tetrahedron roll is independent, since no roll is affected by another.
This means we multiply the probabilities:
1/4(1/4)(1/4)(1/4)(1/4) = 1/1024
