To rest satisfied, or apparently satisfied, or to rest without opposition and discontent (usually implying previous opposition or discontent); to
accept or
consent by
silence or by omitting to object.
Tiger Woods was forced to acquiesce to his
wife's demands after screwing every
babe in a town with a golf course or else have her take him for all he was worth.
or
Boss: I have decided to remove all cubical walls in order to improve communication between co-workers
Employee: I'll acquiesce to your judgment oh great one...