Answer:
 The direction angle of vector v is equal to  
Step-by-step explanation:
Let

The vector v is given by




 Remember that
The direction angle of the vector is equal to
 
substitute the values
 
 
 
        
                    
             
        
        
        
THE CORRECT ANSWER IS C)-3
        
             
        
        
        
3/8 x 2/6 = 6/48 which simplified is 1/8
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
1 Us pint = 16 Us fluid ounces
It means that 8 pints of water would be 
8 × 16 = 128 fluid ounces
Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is 
128 + 24 = 152 fluid ounces
Also,
1 fluid ounce = 0.125 Us cups
Therefore, the number of cups made is 
152 × 0.125 = 19 cups
 If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19 
servings. The number of batches made is 6. Therefore, the number of servings made altogether is 
6 × 19 = 114
If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is 
114/2 = 57 servings