a politically 'connected' businessman [=a businessman who has relationships with people who have political power]
In my mind, the two places 'are connected'. [=I think of the two places as being related to each other]
They 'are' somehow 'connected' to the royal family. [=they are related in some way to the royal family]
(..) Yeah. Yep. Wait, no. -What does this button do? -No! Don't touch that. Sorry, princess. There's a cord right there. D-Do you think that that needs to be connected to something? Shut your mouth and stand still. -She's right. -Okay, fine. Got it. You... I wasn't ready. (..)2013 TvShow: Orange Is the New Black Title: I Wasn't Ready Season: 1 Episode 1