English please i dont speak Nerd im here just for point and answer good luck brotha
Answer:
BA ≈ 1.88
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- [Right Triangle Trig] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing length
<u>Step 2: Identify Variables</u>
<em>POV from angle C</em>
Angle = 28°
Adjacent = BA
Hypotenuse = 4
<u>Step 3: Solve for </u><em><u>BA</u></em>
- Substitute [sine]: sin28° = BA/4
- Isolate <em>BA</em>: 4sin28° = BA
- Evaluate: 1.87789 = BA
- Rewrite: BA = 1.87789
- Round: BA ≈ 1.88
First, we use the rational root theorem to determine any solutions of p(x). <span>= x3 + 4x2 + x − 6</span>
Factoring -6:
1
-1
2
-2
3
-3
6
-6
<span>x = 1 </span>
<span>p(1) = 1^3 + 4 * 1^2 + 1 - 6 = 6 - 6 = 0 </span>
<span>x = 1 is a solution. </span>
(x^3 + 4x^2 + x - 6) / (x - 1) =
x^3 / x = x^2
x^2 * (x - 1) = x^3 - x^2
x^3 + 4x^2 - x^3 + x^2 = 5x^2
5x^2 / x = 5x
5x * (x - 1) = 5x^2 - 5x
5x^2 + x - 5x^2 + 5x = 6x
6x / x = 6
6 * (x - 1) = 6x - 6
6x - 6 - 6x + 6 = 0
<span>(x - 1) * (x^2 + 5x + 6) </span>
x^2 + 5x + 6 factors to (x + 3) * (x + 2)
Factors:
<span>(x - 1) </span>
<span>(x + 2) </span>
<span>(x + 3) </span>
<span>roots: </span>
<span>x = 1 </span>
<span>x = -2 </span>
<span>x = -3</span>
Since the point lies of the negative side of the x axis, it forms an angle of 180° with the positive direction of the x axis.
So, if we start from (1,0), a rotation of 180° will bring us to (-1,0). If we scale the point with factor 3, we have (-3,0).
So, the polar coordinates are (3, 180°)