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]
(..) COBB: What for? - Here, I'll show you. Perhaps you will not want to see. After you. EAMES: Ten. Twelve. All connected. Bloody hell. They come every day to share the dream. You see? Very stable. - How long do they dream for? YUSUF: Three, four hours, each day. In dream time? (..)2010 Inception