Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:

We let the substitution take place.
Therefore, we let 
Thus, 
So,

Also, the interval of the integration changes to [ 37, 65]
Thus,

= 
= 156.5 units²
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
The red line is 180 degrees. So the arcs on top of the circle all equal up to 180 degrees. the number 72 doesn't really matter cause you're trying to find out the angle of DCE which is on the other side of the circle. So you gotta find the arc length of DE which is 68 because 180-112=68. So to find the angle, you have to divide the opposite arc length by two, which is 34.
ANSWER: A. 34. you're welcomee!!