The rabbit population on Park Point in Duluth, MN at time t is modeled by the r(t) = 225 cos pi/3 t + 425 where t is measured in years. ( Park Point, by the way, is reported as the world’s longest freshwater sand spit) What is the maximum number of rabbits on Park Point during a population cycle? 1. What is the maximum number of rabbits on Park Point during a population cycle?
2. How long is the population cycle?
3. Find the approximate number of rabbits on the island after 3.2 years

the answer is 8/21

hope this

mr. india

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft