Freddy is sailing near a buoy. Freddy starts from a point 3 miles EAST and 2a miles NORTH of the buoy. Freddy then sails in a straight line toward a point 4 miles due SOUTH of the buoy. When Freddy reaches the point closet to the buoy on this course, Freddy changes direction and sails due WEST for 10 miles. Freddy sails at a constant speed 7 miles per hour.

For what length of time is Freddy within 3 miles of the buoy?

Find the solution of each of the following.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?