Total height of lumber, H = 10 1/2 feet = 21/2 feet .
Height of side panel, h = 5 2/3 feet = 17/3 feet .
Now, 
Extra lumber required, L = 2 × Height of side panel - Total height of lumber
![L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet](https://tex.z-dn.net/?f=L%3D%5B2%5Ctimes%20%28%5Cdfrac%7B17%7D%7B3%7D%29%5D-%5Cdfrac%7B21%7D%7B2%7D%5C%5C%5C%5CL%20%3D%20%5Cdfrac%7B5%7D%7B6%7D%5C%20feet)
Therefore, extra lumber required is  feet.
 feet.
Hence, this is the required solution.
 
        
             
        
        
        
Answer:
C: 12.5
Step-by-step explanation:
The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.
First we can set up our equation

Next we can solve for x by multiplying by x and dividing by 

 
        
                    
             
        
        
        
The measurement are the same. From 2,4,6,8. After you known those equal to 103. You know a line equals 180. So you would do 180-103=77. So from 1,3,5,7 will all be 77 degree.
        
             
        
        
        
Answer:
Total crackers on the plate are 12
Step-by-step explanation:
Manuel ate crackers = 
His brother ate crackers = 
Crackers left on the plate = 5
We need to find how many crackers were there on the plate.
Let x be the total crackers on the plate
So, we can write the equation

Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5

So, we get x = 12
Therefore, total crackers on the plate are 12
 
        
             
        
        
        
Answer:
c)
Step-by-step explanation:
The asking price in Baltimore has a mean value of $286,455 and a standard deviation of $11,200; this means that most houses prices fall between $275,255 and $297,655.
Similarly, the mean value in Denver is $188,468 and a standard deviation of $8,230; most houses prices fall between $180,238 and $196,698.
The problem tells us that one home sold in each city where the asking price for each home was $193,000. In the case of Denver this would be expected (values usually fall between 180,000 and 196500 approximately). 
However, the house in Baltimore is relatively farther from the mean than the one in Denver because the price is more than one standard deviation away from the mean. 
Therefore, the correct answer is C. The house in Baltimore is relatively farther from the mean than the house in Denver.