Answer:
sorry for my handwriting
i think this is the correct answer
Answer:
138.23 cm²
Step-by-step explanation:
The formula for the area of a sector is given as:
θ/360 × πr²
θ = 110°
Radius = r = 12 cm
Hence
Area of a sector = 110/360 × π × 12²
= 138.23007676 cm²
Approximately, Area of a sector = 138.23 cm²
we have that
Applying proportion
x/9=5.5/3
solve for x
x=9*(5.5/3)
x=16.5 ft
therefore
<h2>the answer is 16.5 ft</h2>
Check the picture below.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.