Answer:
4 degrees.
Step-by-step explanation:
A complete circle has 360 degrees.
(4/360) of a circle = (4/360) * 360 degrees = 4 degrees
Answer:
B: 192pi - 144
Step-by-step explanation:
Area of the sector = (120/360) * pi * r^2
Area of the sector = 1/3 * pi * 24 * 24
Area of the sector = 192 * pi
Now to find the area of the triangle.
The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.
the small angles are equal to
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide by 2
x = 60/2
x = 30
The height of the triangle is derived from sin(30) = opposite / hypotenuse
sin(30) = 1/2
hypotenuse = 24
1/2 = opposite / hypotenuse
1/2 = opposite / 24 Multiply both sides by 24
1/2 * 24 = opposite
opposite = 12
The height = 12
r = 24
Area of the triangle = 1/2 * 12 * 24
Area of the triangle = 144
So the area of the shaded area = 192*pi - 144 which looks like B
Answer:
*hugs
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Vertex appear to be at (5,115)
A) h = -b/2a
= -(20)/2(-2) = 5
k = -2(5²) + 20(5) + 60 = 110
<h3>
Answer: D) Ray NM</h3>
Ray NP starts at point N as the fixed endpoint and goes off forever in the direction of point P.
The opposite would be to turn 180 degrees and go the other way. So we start at N and instead go off forever toward point M. In either case, the starting point is still the same (point N).
When naming rays, the order is important. Ray NM is different from ray MN. This is because the first letter is the fixed end point (that doesn't go off forever in one direction).
