I showed the work for the first question in the image attached. For the second question, it's C
Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
Answer:
(D) 4/3π(8.06×10^16)
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
__
Using the given value for the radius, the volume of the Sun is ...
V = 4/3π(4.23×10^5 mi)³ ≈ 4/3π(8.06×10^16) mi³
Answer:
C. 8.06
Step-by-step explanation:
You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is . Hope this helps!
Answer:
-6.825 (-2 33/40). hope this helps
Step-by-step explanation:
- Zombie