Answer:
33 pi
Step-by-step explanation:
Area of the larger sector = Area of the circle - Area of the smaller sector
Area of the circle = (6)^2 pi = 36 pi
Area of the smaller sector = 1/2 × (6)^2 × theta....,where theta has to be in radians
30° = pi/6
Area of the smaller sector = 1/2 × 36 × pi/6
= 3 pi
Area of the larger sector = 36 pi - 3 pi
Area = 33 pi
Answer:
1.728 × 106 pounds of vegetation
Step-by-step explanation:
From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.
Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation
Answer:
219.91 meters
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
7 * 6 = 42
The equation of a parabola in vertex form, is:

Where <em>(h,k)</em> are the coordinates of the vertex.
From the given graph, notice that the coordinates of the vertex are:

The roots are the values of <em>x</em> where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points <em>(4,0)</em> and <em>(6,0).</em> Then, the roots are:

Substitute the values of the vertex into the equation of the parabola in vertex form:

To find the value of <em>a</em>, substitute <em>(x,y)=(4,0)</em>:

Therefore, the equation of the parabola is: