i think this answer would be C that would be my choice :)
The first step is to locate the coordinates of the vertices of the arrow. From the graph,
A = (2, 1)
B = (2, 3)
C = (1, 3)
D = (3, 5)
E = (5, 3)
F = (4, 3)
G = (4, 1)
If (a, b) is reflected on the line y = - x, the coordinates of the image is (- b, - a)
By applying this rule, the new coordinates after reflecting the arrow over the line y = - x are
A'(- 1, - 2)
B'(- 3, - 2)
C'(- 3, - 1)
D'(- 5, - 3)
E'(- 3, - 5)
F'(- 3, - 4)
G(- 1, - 4)
Step-by-step explanation:
The formula for the lateral area of a right cone is :
LA = rs
Where
r is the radius of the base and s is the slant height of the cone
Equivalent expression,
or
Hence, this is the required solution.
We need to split this shape into different shapes. I am going to split it into 2 rectangles, and one triangle. The first thing I am going to do is the triangle. A triangle has an area of 1/2 b*h. Since 25 is the base of the figure, and 16 is the top portion where the triangle dips, we will subtract 16 from 25 to find the base of the triangle. The base is 9. Now we will find the height using the same method with the 23 and the 14. Our height is 9. 9*9 = 81 * 1/2 = 40.5. The area of our triangle is 40.5.
Next I will move on to the bigger rectangle. I am going to create a line where the 16 cm stops on the right hand side. This makes our base 16 cm and the height 23. 16 * 23 is 368. The area of this rectangle is 368
And now for our final rectangle. The base for this one is the same as the base of our triangle, so it is 9. The height of this one is 14. 9 * 14 =126. The area of this rectangle is 126.
Now we need to add these all together.
368 + 126 + 40.5 = 534.5 cm^2
Step-by-step explanation:
Area of circle = (12)^2 pi = 144 pi
Area of rectangle = 3 × 10 = 30
the area of shaded region = 144 pi - 30 = 422.57
