The short answer is that the 10:30-10:35 log would not be used with the 10:00-10:45 full. The easy way to think of it is that the restoring the full backup will bring the database to a state as it was at a single point-in-time, and as Paul Randal says in https://technet.microsoft.com/en-us/magazine/2009.07.sqlbackup.aspx, that point is basically the end of the backup.

The section of that article on exactly what a full backup does will help clear up why that would be.

Cheers!