As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 20 hours, devote at most 7 hours to swimming, and jog for no more than the total number of hours cycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 596, and 294, respectively. How many hours should be allotted to each activity to maximize the number of calories burned

Jogging = 10 hours

Swimming = 7 hours

Cycling = 3 hours

Step-by-step explanation:

J = Hours jogging

S = Hours swimming

C = Hours cycling

Since jogging is the activity that burns the most calories, we should maximize the number of hours jogging:

Therefore, the man should jog for 10 hours.

Since swimming is the activity that burns the second most calories, we should maximize swimming hours:

In order to maximize the number of calories burn, the man should go jogging for 10 hours, swimming for 7 hours and cycling for 3 hours.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)