Total of 55 marbles.....if there are 11 red marbles, then there are (55 - 11) = 44 green marbles. So the ratio of red marbles to green marbles is :
11:44 which reduces to 1:4 or 1/4 or 1 to 4
<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
Let's solve for x --
Isn't it always a little easier to solve a math problem with starting by rewriting the equation?
3/8x + 15/2 = 8
Step 1) Subtract 15/2 from both sides
3/8x + 15/2 - 15/2 = 8 - 15/2
3/8x = 1/2
Step 2) Multiply both sides by 8/3
(8/3) × (3/8x) = (8/3) × (1/2)
x = 4/3
FINAL ANSWER -
x = 4/3
↑ ↑ ↑ Hope this helps! :D
Answer:
The point (-5, 6) is located in the second quadrant
Step-by-step explanation:
