Answer:
D.
m²
Step-by-step explanation:
Area of the sector = ½*r²∅
Where,
Radius (r) = 15 m
Angle in radians (∅) = 
Plug in the values into the equation
Area of sector = 
Area of sector = 
Area of sector = 
Area of sector = 
Simplify
Area of sector = 
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

Therefore, the required point is located as follows;

The coordinates of the point is (0, -4)
Answer:
Center: (4,8)
Radius: 2.5
Equation: 
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;

The center is at; 
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;




The equation of the circle in standard form is given by;

We substitute the center and the radius into the formula to get;


The answer is $44
$0.11 * 400= 44
The max possible profit is $44