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:
Step-by-step explanation:
<u>Find the area of the garden:</u>
- A = 1/2bh
- A = 1/2(8)(15) = 60 m²
<u>Number of plants:</u>
Answer:
Ur final grade will go down if you are looking for answers buddy! :)
Step-by-step explanation:
Answer:
It is 
(12 × 4) = 24
Step-by-step explanation:
(base × height) = area of triangle
(12 × 4) = area
area = 24
