There were 1125 books sold last week at sid's bookstore. the circle graph below summarizes these books by genre. the central angle for the mystery slice is 100.8° . how many of the books sold were mystery books?

Sam has traveled a distance of 9/16 of a mile

Step-by-step explanation:

Here, we want to calculate the distance traveled by Sam so far.

The distance between his home and the library is 3/4 mile = 0.75 mile

Now, he is 1/4 of the way there; this means that he has traveled a total of 3/4 of the total distance.

By being at a distance which is just a quarter of the total, it means he has already traveled 3/4 of the journey.

So the distance traveled so far will be 3/4 of 0.75 or more simply 3/4 of 3/4 = 3/4 * 3/4 = 9/16 of a mile