Answer:
The distance is 8 miles.
Step-by-step explanation:
Manuel's house, his parents house, and grandparents house can be expressed as the three vertices of a right angled triangle. Thus, Pythagoras theorem can be applied to determine the distance from Manual's house to that of his grandparents.
Let the distance from Manuel's house to that of his grandparents be represented by x, so that;
 =
 =  +
 + 
 =
 =  +
 + 
100 =  + 36
 + 36
 = 100 - 36
 = 100 - 36
    = 64
⇒ x = 
       = 8
x = 8 miles
Thus, Manuel's house is 8 miles from his grandparents house.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
the answer is 45 because once you divide the 3x you gonna get 5 hope this helps
 
        
                    
             
        
        
        
Answer:
60°
Step-by-step explanation:
tan 60 = sin 60 / cos 60 
 = [(root 3) / 2] ÷ [1/2]
 = root 3
[sin 60 = (root 3) / 2 ; cos 60 = 1 / 2 ]
 
        
             
        
        
        

Hope you could understand.
If you have any query, feel free to ask.
 
        
                    
             
        
        
        
Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14          (factoring out 4)
- 3a = 18               (adding 4 to both sides)
- a = 6                   (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56        (distributive property)
- 12a = 72               (moving like terms)
- a = 6                    (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:
