Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:
131.3°, 48.7°
Step-by-step explanation:
Let x represent the larger angle. Then x-82.6 is the smaller one. Their sum is ...
x +(x -82.6) = 180
2x = 262.6
x = 131.3
x -82.6 = 48.7
The two angle measures are 48.7° and 131.3°.
The area of the full circle is PI x r^2
r = 10
r^2 = 100
Area = 100*3.14 = 314 square feet.
Area of sector:
314 * 40/360 = 34.89 square feet.
The answer is C.
Hello from MrBillDoesMath!
Answer:
No
Discussion:
If the functions are inverses, then f(g(x)) = x for appropriate x. Consider x = 1.
g(1) = 1/ (5(1) + 1) = 1/6
f(g(1)) = f (1/6) = 5(1/6) + 1/ (1/6) = 5/6 + 6 = 6 5/6 <> 1
Conclusion: f(g(1)) <> 1 so the functions are not inverses
Thank you,
MrB
