Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:

In question (1):

In point a:

In point b:


In question (2):

In point a:

In point b:


The 3 question is incomplete, that's why it can't be solved.
Answer:

Step-by-step explanation:
we know that
Susan collected 5 cents at the recycling plant for each of her 78 cans
To find out the total collected , multiply 5 cents by the total number of cans
so

The correct answer is <span>corresponding
</span><span>You can find the corresponding parts of two congruent triangles by aligning them perfectly on top of each other</span>