Answer:
11.4
Step-by-step explanation:
Find the distance in the x-direction between the x-components: 2 - (-7) = 9.
Similarly: between the y-components: 1 - (-6) = 7
Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:
81 + 49 = d^2, or d^2 = 130
The distance d is approximately √130 ≈ 11.4
Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
If <em>z</em> ⁷ = 128<em>i</em>, then there are 7 complex numbers <em>z</em> that satisfy this equation.

![\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%3D%5Csqrt%5B7%5D%7B2%5E7%7D%20e%5E%7Bi%5Cfrac17%5Cleft%28%5Cfrac%5Cpi2%2B2n%5Cpi%5Cright%29%7D)
(where <em>n</em> = 0, 1, 2, …, 6)


Answer:
C.
Step-by-step explanation:
i believe it is C but do not trust me on this :p
Since only 1/10 arrived, you multiply this number by 4,000 which gives you 400. The answer is 400.