The answer to the question is b
Step-by-step explanation:
9.1
....................
Area of the triangle: 1/2 x 6 x 8 = 24 square ft.
Area of half circle: 1/2 x 3.14 x 4^2 = 25.12 square feet.
Total area : 24 + 25.12 = 49.12 square feet.
Answer:
-4 =x
Step-by-step explanation:
2x - 5= 5x + 7
Subtract 2x from each side
2x-2x - 5= 5x-2x + 7
-5 = 3x+7
Subtract 7 from each side
-5-7 = 3x+7-7
-12 = 3x
Divide by 3
-12/3 = 3x/3
-4 =x
We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
