Area of the Base = 6 * side^2 / 4 * tan (180/6)
Area of the Base = 6 * 16 / 4 * 0.57735
Area of the Base = 96 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
Area of the Base =
<span>
<span>
<span>
41.5692387633
</span>
</span>
</span>
Area of 1 Face = 2 * 6 = 12
Area of 6 Faces = 72
<span>
<span>
Total Area = 41.5692387633
</span>
+ 72</span>
Total Area = 113<span>.5692387633</span>
        
                    
             
        
        
        
Answer:
The total length of fencing needed to enclose the kennel 74 feet.
Step-by-step explanation:
Given:
The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.
As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

To find:
Total length of fencing needed is to enclose the kennel. i.e 
Perimeter of a rectangular kennel = ?
Solution:
we have the formula for perimeter of a rectangle as giving below.

Therefore,the total length of fencing needed to enclose the kennel 74 feet.
 
        
             
        
        
        
Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
 
        
             
        
        
        
The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.
<h3>How to interpret the equation?</h3>
The equation of the line of best fit is given as:
y = 9.5x
Divide both sides by x
9.5 = y/x
From the question, we have:
- x ⇒ number of miles run
- y ⇒ time
This means that:
9.5 = number of miles run/time
Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.
Read more about scatter plots at:
brainly.com/question/6592115
#SPJ1
 
        
             
        
        
        
Let the two ages be j and m, respectively.  Then j+m>32.
Solving for Mary's age, we get   m > 32 - j.  Because j = m + 2, m > 32 - (m+2).
Continue solving for m:  Adding m to both sides of this inequality results in 
2m > 32 - 2.  Then 2m > 30, and m > 15.  Mary's age is greater than 15.