De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ +
sinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power. This therefore would give r ⁿ [cos (nθ) +
sin (nθ)].
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =
[cos (
×
) +
sin (
×
)
⇒ A = 2 [ cos (
) +
sin (
)
⇒ A = 2 [0.0117 +
0.01297 ] rads
Answer:
9 fish
Step-by-step explanation:
If each fish costs 4 dollars, and we can spend at most 36 dollars, we can find out that we can buy 9 fish by dividing 36/4, which gives you the answer of 9.
We can model this problem by doing
4x = 36
Divide by 4 on both sides to isolate the x
x = 9
Answer:
c.≥
Step-by-step explanation:
Minimum of means the number y can be -2.5 and higher, but it cannot be lower than -2.5.
≥ means more than or equal to.
> means more than only.
< means less than only.
≤ means less than or equal to.
Answer:
5-c=c-5
Step-by-step explanation:
Step-by-step explanation:
Area of a parallelogram=base×height
=10×4
=40cm^2