Answer:
Let x=sinθ
2sin²θ = 5sinθ - 3
2x²=5x-3
2x²-5x+3=0
(2x-3)(x-1)=0
2x-3=0 or x-1=0
x=3/2 or x=1
sinθ=2/3 or sinθ=1
θ=arcsin(2/3) or θ=arcsin(1)
θ=0.729727656 or θ=1.57079633=π/2
Answer:
26cm²
Step-by-step explanation:
Perimeter
2x - 4 + 5x - 13 + x + 9 = 40
8x - 8 = 40
8x = 40 - 8
8x = 32
x = 4
Sides of the triangle
Height = 2x - 4 = 2 x 4 - 4 = 4cm
Hypotenuse = 5x - 13 = 5 x 4 - 13 = 7cm
Base = x + 9 = 4 + 9 = 13cm
Area of triangle
= 1/2 x base x height
= 1/2 x 13 x 4
= 26cm²
Hope this helps
Answer:
r = 152/55
Step-by-step explanation:
122 - 44r = - 30 + 11r
122 - 44r - 11r = - 30
- 44r - 11r = - 30 - 122
- 55r = - 30 - 122
- 55r = - 152
5 feet 5 inches is the same as 65 inches, so LAMAR is taller.
