Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
When we say factor and solution, we mean to say the same thing. These terms may also sometimes be referred to as "roots". There is a law in mathematics which states that the number of solution in a given equation is equal to the highest exponent in the expression and for quadratic equation, the number of solutions should be 2.
Since the first equation says y= x-4, substitution that for the y value in x + y = 6
x + x - 4 = 6
add up the x’s to get 2x - 4 = 6
add 4 to both sides to get 2x = 10
divide both sides by 2 to get x = 5
the x value is 5
then, to figure out the y value, substitute 5 for the x value in y = 5-4
the y value is 1
final answer: x = 5 and y = 1
hope this helped!!
Answer:
Step-by-step explanation:
1) A dot represents a point.
2) A line segment has two end points
