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:3003
Step-by-step explanation:
14 choose 6 is 3003 because 14!/6!(14-6)!=9*10*11*12*13*14/6!=3003
Answer:
58.8
Step-by-step explanation:
basic facts:
-15.4% is the same as 15.4/100
- the word 'of' in maths means times
so 15.4% of the 382ml is the same as
382*15.4/100
to do that, you multiply 382 by 15.4 = 5882.8
then you divide that by 100= 58.828
and then you just round that of to 58.8
Answer:
C: 9
Step-by-step explanation:
The highest power in the polynomial is 9.
Seems like you are an imposter ;). This is Middle School math.
Anyways...
Answer:
x>6
Step-by-step explanation:
-4x-12<12
Add 12 on both sides.
-4x<24
Divide both sides by -4 to isolate x. Remember that if you are dividing by a negative, flip the sign!
x>6
Hope this helps!
