Answer:
(3, 1)
Step-by-step explanation:
Let the coordinates of B be (x, y) 
Since, M is the midpoint of AB. 
Therefore, by mid point formula:

 
        
             
        
        
        
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
<span>Therefore, the diameter is 6 inches </span>
        
                    
             
        
        
        
Answer:
-1/2 > x > -3
Step-by-step explanation:
i) 
-2x+3>4
-2x> 1
 x < -1/2
ii)
-2x+3<9
-2x<6
 x > -3
= -1/2 > x > -3
 
        
             
        
        
        
Answer:
angle of elevation will be 
Step-by-step explanation:
Given,
height of tower = 150 ft
height of tower = 1200 ft
So, total height of peak of tower = 1200 + 150
                                                        = 1350 ft
distance of user from cell tower = 5 miles
                                                      = 5 x 5280 feet
                                                      = 26,400 feet
Since the height of user from sea level = 400 ft
so, height of peak of tower with respect to user = 1350 - 400 ft
                                                                                 = 950 ft
If the angle of depression is assumed as  , then we can write
, then we can write

 
 
  
So, the angle of elevation will be 
 
        
             
        
        
        
4m + 9 + 5m - 12 = 42
9m + 9 -12 = 42
9m -3 = 42
9m = 42 + 3 
9m = 45 
m= 45/9
m= 5
Answer is C.