Answer:
P= 7/9 miles 
A= (7/18) miles²
Step-by-step explanation:
Length 'l' = (1/6) mile
Width 'w'= (2/9) mile
Perimeter 'P' is given by:
'P' = 2l + 2w => 2(1/6) + 2(2/9) 
P= 7/9 miles 
Area 'A' is given by:
A= l x w =(1/6) x (2/9) = (7/18) miles²
 
        
             
        
        
        
Okay let's see.. 0.750
 1.200
As we see 1 is bigger than 0.So that means 1/2 is bigger.Hope this helps! (;
        
                    
             
        
        
        
Answer:
The shadow is decreasing at the rate of 3.55 inch/min
Step-by-step explanation:
The height of the building = 60ft
The shadow of the building on the level ground is 25ft long
Ѳ is increasing at the rate of 0.24°/min
Using SOHCAHTOA, 
Tan Ѳ = opposite/ adjacent
 = height of the building / length of the shadow
Tan Ѳ = h/x
X= h/tan Ѳ
Recall that tan Ѳ = sin Ѳ/cos Ѳ
X= h/x (sin Ѳ/cos Ѳ)
Differentiate with respect to t
dx/dt = (-h/sin²Ѳ)dѲ/dt
When x= 25ft
tanѲ = h/x
 = 60/25
Ѳ= tan^-1(60/25)
 = 67.38°
dѲ/dt= 0.24°/min
Convert the height in ft to inches
1 ft = 12 inches
Therefore, 60ft = 60*12
 = 720 inches
Convert degree/min to radian/min
1°= 0.0175radian
Therefore, 0.24° = 0.24 * 0.0175
 = 0.0042 radian/min
Recall that 
dx/dt = (-h/sin²Ѳ)dѲ/dt
 = (-720/sin²(67.38))*0.0042
 = (-720/0.8521)*0.0042
 -3.55 inch/min
Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min
 
        
             
        
        
        
Answer:
47
Step-by-step explanation:
this is due to when 286 is divided by 61 it gets 40 and the remainder gets you 7 as a result it is 47