Forces in direction x:
 fx1 = 100 * cos (50) = 64.28
 fx2 = 50 * cos (160) = - 46.99
 The resultant is:
 fx = fx1 + fx2 = 17.29
 Forces in direction y:
 fy1 = 100 * sine (50) = 76.60
 fy2 = 50 * sine (160) = 17.10
 The resultant is:
 fy = fy1 + fy2 = 93.70
 The magnitude of the resulting force is:
 f = root (fx ^ 2 + fy ^ 2)
 f = root ((17.29) ^ 2 + (93.70) ^ 2)
 f = 95.28
 The angle is:
 theta = atan (fy / fx)
 theta = atan (93.70 / 17.29)
 theta = 79.55 degrees
 Answer:
 The direction and magnitude of the resultant force are:
 f = 95.28 pounds at theta = 79.55 degrees
        
             
        
        
        
Answer:
Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Step-by-step explanation:
The consideration "Given that a car is from the previous model year, there is a 10% chance that it is a coupe." wouldn't give much information. Previous year models are 10% Coupe and 25% Sedan.
Same for consideration "There is a 10% chance that the car is from the previous model year." This consideration would be good if only a specific model would be taken.
Consideration "There is a 10% chance that the car is a coupe." makes no sense because, in order for this to be true, 90% of specific models would be a sedan which table clearly shows 25%.
 
        
                    
             
        
        
        
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or  y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation    
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so 
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or 
2x+y=5
2(1/2)+4=5
1+4=5
5=5
 
        
             
        
        
        
Hi! :) 19.7 - 6.8 is 12.9. If you need anymore help, ask me!