Hello, clarebear14!

There is no formula for this problem.Hamilton High School starts at 8:30 am and finishes at 3:30 pm each day.

The number of times the hour and minute hand form a right angle

on the school clock during the day is ...?

. . We must make a series of sketches.

I foundtwelvetimes.

The times (approximate) are: .9:00, 9:30, 10:05, 10:35, 11:10, 11:45,

. . 12:15, 12:50, 1:20, 1:55, 2:25, 3:00

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Note: Three-thirty isnotincluded.

At 3:30, the hour hand is halfway between 3 and 4,

. . forming a 105° angle with "12".

So the minute hand would form a 195° angle with "12",

. . indicating a timeafterthree-thirty.