Answer:
 5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
 V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
 B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
 V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
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You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
 
        
                    
             
        
        
        
Answer:
40%
Step-by-step explanation:
24/60 is 40%
 
        
                    
             
        
        
        
Answer:
4
Step-by-step explanation:
The sum to n terms of a geometric sequence is
 =
 = 
where a is the first term and r the common ratio
Here r = 5 and a has to be found, thus
 =
 =  , so
, so
 = 15624
 = 15624
Multiply both sides by 4
15624a = 62496 ( divide both sides by 15624
a = 4
 
        
             
        
        
        
Answer:
Step-by-step explanation:
![Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-7}{2-[-3]}=\dfrac{-6-7}{2+3}\\\\\\=\dfrac{-13}{5}](https://tex.z-dn.net/?f=Slope%20%3D%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-6-7%7D%7B2-%5B-3%5D%7D%3D%5Cdfrac%7B-6-7%7D%7B2%2B3%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-13%7D%7B5%7D)
 
        
             
        
        
        
Answer:
39 sq inches
Step-by-step explanation: