Easy peasy pumpkineasy the answer issssssssssssssss 455555
        
             
        
        
        
Answer:
1.5 miles
Step-by-step explanation:
According to the scale, we can simply multiply the distance that Sonja measured on the map by the actual mile distance that it states on the scale (1/2 or 0.5) to calculate the actual distance between Sonja's house and Sal's house like so...
3 * 0.5 = 1.5 miles
Therefore, we can see now that there is a total actual distance of 1.5 miles between both of their houses, which is represented as 3 inches on the map.
 
        
             
        
        
        
Answer:  see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π    →     C = π - (A + B)
                                     → sin C = sin(π - (A + B))       cos C = sin(π - (A + B))
                                     → sin C = sin (A + B)              cos C = - cos(A + B)
Use the following Sum to Product Identity:
sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]
cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]
Use the following Double Angle Identity:
sin 2A = 2 sin A · cos A
<u>Proof LHS → RHS</u>
LHS:                        (sin 2A + sin 2B) + sin 2C




![\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]](https://tex.z-dn.net/?f=%5Ctext%7BFactor%3A%7D%5Cqquad%20%5Cqquad%20%5Cqquad%202%5Csin%20C%5Ccdot%20%5B%5Ccos%20%28A-B%29%2B%5Ccos%20%28A%2BB%29%5D)


LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C    
 
        
             
        
        
        
Step-by-step explanation:
x = number of novels
y = number of dictionaries
x = 8y
88x + 208y = 13680
now, using the identity of the first equation in the second equation gives us
88(8y) + 208y = 13680
704y + 208y = 13680
912y = 13680
y = 13680/912 = 15
x = 8y = 8×15 = 120
so, there were 120 novels and 15 dictionaries sold.