Answer:
-5
Step-by-step explanation:
 
        
             
        
        
        
9514 1404 393
Answer:
   x ≈ 136.7 ft
Step-by-step explanation:
As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...
   Cos = Adjacent/Hypotenuse
For this triangle, that means ...
   cos(43°) = (100 ft)/x
   x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)
   x ≈ 136.73 ft
The length x is about 136.7 feet.
 
        
             
        
        
        
Instantaneous rate of change = S'(r) = 8πr
S'(8) = 8π(8) = 64π
Therefore, the instantaneoud rate of change of the <span>surface area with respect to the radius r at r = 8</span>  is 64π
        
             
        
        
        
Answer attached below. Hope it helps
 
        
        
        
Answer:
n + 11 and 11 + n
Step-by-step explanation:
Let n be the unknown number,
n is increased by 11,
That is, n + 11
By the commutative property of addition,
The expression would be,
11 + n
For drawing a model that shows n + 11
Take two boxes in which first shows n and second shows 11 and add them,
Similarly, for showing 11 + n, take first box that shows 11 and second box that shows n then add them.