Consider the complex number z = 27i. What are the characteristics of the cube roots of z? Use the drop down menus to complete each sentence.

The cube roots are located on a circle with center at the origin and radius of
.

The cube roots have arguments which differ by
Pi over 3.

An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.

Measure a and b and find their sum. how are the angles related?