Answer:
2.7
Step-by-step explanation:
Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
From the second:
2x-y=4
x=(4+y)/2 and applying this to first:
4+y+3y=12
4y+4=12
4y=8
y=2 and since x=(4+y)/2, x=3 so
x+y=2+3=5
Step-by-step explanation:
hope it helps you!!!!!!!!!!
Answer:
Area = 12.82 miles²
Step-by-step explanation:
Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,
Area = ![\frac{1}{2}ab[\text{sin(C)}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dab%5B%5Ctext%7Bsin%28C%29%7D%5D)
By substituting the values of sides a, b and the angle C,
Area = ![\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%285.7%5Ctimes%209.3%29%5B%5Ctext%7Bsin%7D%2814%5E%7B%5Ccirc%7D%29%5D)
= 12.82 square miles