Step 1) Divide the figure into separate shapes
Large rectangle: 8 x 9
Medium rectangle: 4 x 6
Quarter circle: r = 3
Step 2) Find the area of each shape
Large rectangle: A = 8 x 9 = 72
Medium rectangle: A = 4 x 6 = 24
Quarter circle: A = 1/4 x 3.14 x 3^2 = 7.065 + 3 = 10.065
Step 3) Add the areas together
A = 72 + 24 + 10.065 = 106.065 square millimeters (may need to round to 106.07, but rounding not given in the problem)
Hope this helps! :)
Answer:
C. 2
Step-by-step explanation:
Gradient = 
Gradient = 
Gradient = 2
Answer:
Acute triangle
Step-by-step explanation:
If you add up are those angle equations, set it equal to 0, 26x - 2 = 180, you get x = 7/ Plug that back into each equation, and you realize none of the angles are more than 90. This makes it an acute triangle.
Answer:
A, B, E
Step-by-step explanation:
The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)
The right-side piece is cubic, not quadratic.
The U-shape tells you the function is decreasing on the left side.
The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)
Given the equation of a circle in the form

You have that
is the center, and
is the radius.
So, in your case, the center is
and the radius is 5.