Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
The probability according to the given scenario will be "".
According to the question:
→ The total outcome will be:
=
=
As we know,
→
By putting the values, we get
→
Thus the above response is right.
Learn more about Probability here:
or
divide both sides by 2
sinΘ = -
Since the sin ratio is negative then Θ is in third / fourth quadrants
Θ = (
) =
related acute angle
Θ = ( π + ) =
or Θ = ( 2π - ) =