Use demoivre's theorem to write the complex number in trigonometric form.

  cos(3π/4) + i·sin(3π/4)

Step-by-step explanation:

The number inside parentheses is already in trigonometric form, with a magnitude of 1 and an angle of π/4. The cube of it will have a magnitude that is the cube of 1, and an angle that is 3 times π/4. Hence ...

  1(cos(3π/4) +i·sin(3π/4)) . . . . . matches the last choice

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: