Answer:
option a) 30 : 19
Step-by-step explanation:
<em><u>Ratio of length to width:</u></em>
<em><u></u></em>
Answer:
y = 2
Step-by-step explanation:
I will solve this problem, using the elimination method.
-2(5x - 3y) = -11
-10x + 6y = 22
2x - 6y = -14
Subtract and divide for x
-8x = 8
x = -1
Input -1 into the equations
2(-1) - 6y = -14
-6y - 2 = -14
-6y = -12
y = 2
Thanks!
Answer:
exponent i think.
Step-by-step explanation:
Answer:
See below.
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).
