Answer:
a) x=24/k
b) x=24/3
x=8
Step-by-step explanation:
Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8
Answer:D 120 degrees, F 60 degrees
Step-by-step explanation:
it is a parallelogram which means the 2 angles add up to 180 degrees. 5x+2x+12=180. Then solve, 7x=168, x=24. Then Substitute back into the angles. E is 5*24 which is 120. F is same as D which is 2x+12=60. Hope this helped
The answer is 6t to the -1 power
6 divided by 36 is 6
1/36 is not whole
Make 6 less than 1
-6 to get 1/36
6 to - power is answer
28 in 2 hours.
14 in 1 hour.
42 in 3 hours.
56 in 4 hours.
Answer:
(6^⅕) (cos(-24°) + i sin(-24°))
Step-by-step explanation:
First, we convert from Cartesian to polar:
r = √((-3)² + (-3√3)²)
r = √(9 + 27)
r = 6
θ = atan( (-3√3) / (-3) ), θ in the third quadrant
θ = atan(√3)
θ = 240° + 360° k
Notice that θ can be 240°, 600°, 960°, etc.
Therefore:
-3 − 3√3 i = 6 (cos(240° + 360° k) + i sin(240° + 360° k))
Now we take the fifth root:
[ 6 (cos(240° + 360° k) + i sin(240° + 360° k)) ]^⅕
(6^⅕) [ (cos(240° + 360° k) + i sin(240° + 360° k)) ]^⅕
Applying de Moivre's Theorem:
(6^⅕) (cos(⅕ × 240° + ⅕ × 360° k) + i sin(⅕ × 240° + ⅕ × 360° k))
(6^⅕) (cos(48° + 72° k) + i sin(48° + 72° k))
If we choose k = -1:
(6^⅕) (cos(-24°) + i sin(-24°))