9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Answer:
∠ FAB = 75°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FAB is an external angle, thus
13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )
10x - 3 = 57 ( add 3 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
Thus
∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°
The first to are addition property of equality the third one is division property of equality
It will take Kevin 6 years to make $51,300