Let a =107°   and b=42°;
So cos 107° cos 42° + sin 107° sin 42°  = cosa.cos42 + sina.sinb = cos(a-b)
and cos 107° cos 42° + sin 107° sin 42°  = cos(107-42) = cos(65°)
        
                    
             
        
        
        
It is 1595. Put it on excel so you can better have an overview how it is done. You need 5 columns, column A-E. On column A, put 1 to 5 in rows 1 to 5. On column C, put the answers: 2, 7, 26, 101 and 400. On column D, put number 3 in all 5 rows. Back on column B, insert =sum(C1-A1) on row 1 and copy till row 5. On column E, insert =sum(B1+C1*D1) on row 1 and copy till row 5 and you will get 1595 at the end.
        
                    
             
        
        
        
$67.82 if you pay it on time.
$90.43 if you pay it late.
        
             
        
        
        
Answer:
0.667
Step-by-step explanation:
Angle in a circle = 360°
Area of total shaded parts = 60 + 60 = 120°
Area of total unshaded parts = 360-120 = 240°
Probability that a random selected point within the circle falls in the unshaded area
= 240/360
= 2/3
≈ 0.667
I apologize in advance if I made a mistake. 
 
        
                    
             
        
        
        
Answer:
x and 2x+1
Step-by-step explanation: