Answer:
-i.
Step-by-step explanation:
Applying DeMoivre' s theorem:
(sin 30 + i cos 30)^18
= sin(18*30) + i cos(18*30)
= sin 540 + i cos 540
= sin (3*180) + i cos (3*180)
= 0 + -1 * i
= -i.
We know that ratios can be shown with both fractions and colons.
20:705
or

It also looks like we can simplify this by dividing by 5.
20/5 = 4
705/5 = 141.
This means that for every 4 teachers, there are 141 students.
The ratio for teachers to students is:
4 : 141
Answer:
1.1289 grams ( approx )
Step-by-step explanation:
Since, the final quantity of an element which has half life of n periods,

Where,
P = initial quantity,
t = total number of periods,
Here, A = 1 gram, t = 1000 years, n = 5715 years,
By substituting the values,

( using calculator )
Hence, the initial quantity would be 1.1289 grams ( approx )
Answer:hi there
Step-by-step explanation: