<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>: 
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,  

Substituting the values in the above formula,
 = 112 + 92
  = 112 + 92
 = 121 + 81
  = 121 + 81
 = 210
 = 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
 
        
             
        
        
        
The answer would be D, 12 units! :)
        
                    
             
        
        
        
The answer is 8/3 but if your simplifying then the answer is 2 2/3 and if you want it in decimal form then the answer is 2.6 :)
        
             
        
        
        
The monthly cost will be $17.14
Step-by-step explanation:
Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;
<u>Time in minutes (x)</u>        <u>Cost in dollars (y)</u>
50                                          $12.55
102                                         $ 17.23
Take the values as ordered pairs to represent coordinates for points that satisfy the linear function
(50,12.55)  and (102,17.23)
Finding the slope of the graph using these points
slope,m=Δy/Δx
m=Δy=17.23-12.55 =4.68
Δx=102-50=52
m=4.68/52 =0.09
Finding the equation of the linear function using m=0.09, and point (50,12.55)
m=Δy/Δx
0.09=y-12.55/x-50
0.09(x-50)=y-12.55
0.09x-4.5=y-12.55
0.09x-4.5+12.55=y
y=0.09x+8.05
So for 101 minutes , the cost will be;
y=0.09*101 +8.05
y=9.09+8.05 = $17.14
Learn More
Linear functions : brainly.com/question/11052356
Keyword : linear function
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The volume is the triangular prism is 6 cm