Boy Scout, Shawn Carter came on my TV show to teach me some useful knots. The one in the photo is how to get two very different ropes to tie together.
Make a loop in the end of one of the ropes. Thread the other rope into the loop, around the two pieces of the first rope and back out through the loop, the same way it went in. After you cinch this up, you can pull hard and you have successfully joined two very different ropes.