Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
        
             
        
        
        
Answer:
x=34
Step-by-step explanation:
34*2=68
68+22=90
A complementary angle adds up to 90 degrees.
 
        
             
        
        
        
The probability of selecting two red marbles would be 1/19
        
             
        
        
        
Thats a rectangle .........
        
             
        
        
        
Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that 
Number of years of education = 12 years
Number of minutes a week = 2000
As we have 
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = 
12 years = 
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = 
16 years =  minutes
 minutes
So, the predicted difference in sleep between individuals A and B is given by

Hence, the predicted difference in sleep is 1251437 minutes.