$\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))$

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

$=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})$

Best of Luck!

6 0

2 years ago

Which statement completes the proof that the sum of the angles of triangle PRQ is 180°? Statement Justification

vichka [17]

M∠1 + m∠RPQ + m∠5 = 180° Definition of a Straight Angle

proof : mes1= PRQ (alternate interior)

RPQ = 3 Opposite angle (vertex)
5 =Q (alternate interior)
PRQ + RPQ + RQP = 180

7 0

3 years ago

Read 2 more answers

A bus averages 4 miles per hour faster than a motorcycle. If the bus travels 180 miles in the same time it takes the motorcycle

klemol [59]

Can u send me a picture of the question instead please because i dont understand what ur trying to ask..

3 0

3 years ago

Read 2 more answers

The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers lo

solong [7]

Mariner Valley is approximately 7.31 kilometers longer than the Grand Canyon.

32 · 35 simplified is 1120.

Are you sure you have the correct choices om your problem?

4 0

3 years ago