Answer:
Height: 3/2 inches 
Length:  12 inches 
Width: 4 inches 
Step-by-step explanation:
Let x is the side length of the square 
The height of the box by cutting squares off :x 
- The new length of the cardboard = 15 -2x (because we cut from 4 corners) 
- The new width of the cardboard = 7 -2x (because we cut from 4 corners) 
The new volume of it is: 
V = (15 -2x) (7 -2x) x 
<=> V =  
 
To maximum volume, we use the first derivative of the volume
 
 
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6 
To determine which value of x gives a maximum, we evaluate
 = 24x -88
 = 24x -88 
 = 24(3/2) -88  = -52
= 24(3/2) -88  = -52
 = 24(35/6) -88 = 52
 = 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is: 
Height: 3/2 inches 
Length: 15-2(3/2) = 12 inches 
Width: 7 - 2(3/2) = 4 inches 
 
        
             
        
        
        
Answer:
   23.  0.4583 seconds
   24.  0.0107 seconds
Step-by-step explanation:
The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.
  90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s
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23. The time it takes for the ball to travel 60.5 ft is ...
   time = distance/speed
   time = (60.5 ft)/(132 ft/s) = 0.4583 s
It takes 458.3 milliseconds to reach home plate.
__
24. time = distance/speed
   time = (17 in)/(1584 in/s) = 0.0107 s
The ball is in the strike zone for 10.7 milliseconds.
 
        
             
        
        
        
Answer:
0,-3
Step-by-step explanation:
because its across it so it probbly dose not cam o it dose poloyn it
 
        
                    
             
        
        
        
Answer:
Okay to start with we know this side isn't congruent to our side with 55 degrees looking at this side we can see that x is not 95 degrees because it is an acute angle so A is crossed out. Next this side isn't congruent like I said so B is crossed out. C is possible but the angle wouldn't be as wide as it is if we had 59 degrees so C is incorrect. Leaving us with D 70 degrees hope this helps and sorry if I got it wrong!
Step-by-step explanation: