<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
The number of pages which Claire should read each day to finish the 35 pages in 6 days is; 5.833 pages per day.
<h3>How many pages should Claire read per day?</h3>
It follows from the task content that the number of pages which Claire should read per day in a bid to finish all 35 pages in 6 days be determined.
Since the given condition is such that; Claire reads an equal number of pages on each of the next six days.
It follows that the number of pages to be read each day is given by;
35 / 6
= 5.833 pages per day.
Ultimately, the number of pages Claire should read per day over the next 6 days is; 5.833 pages per day.
Read more on division;
brainly.com/question/28119824
#SPJ1
She can make 12 different combinations.
If she used three different colors for the keychain, there's still 4 other colors left.
4 x 3 = 12
Train A weighs 181 tons and train B weighs 70 tons.
Answer:
I think it is 37.5°.
Step-by-step explanation:
