Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V =  πr²h ....  2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
 πr²(r+7)  =  πr²h
Divide both sides by  πr²
 πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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Answer:
QUESTION?
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Meaning
Step-by-step explanation:
 
        
                    
             
        
        
        
For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245<span />
        
             
        
        
        
Answer:
155°
Step-by-step explanation:
In Δ ABC, let A = x°
By Angle-sum property,
A + B + C = 180°
But, it is given that C = 130°
So, x + B + 130 = 180
B = 180 - 130 - x
B = 50 - x
Since AD and BD are internal bisectors of A and B,
∠ DAB = x/2 and
∠ DBA = 
In Δ ADB, by angle-sum property,
∠ DBA + ∠ DAB +∠ ADB = 180°
 + ∠ ADB = 180°
25 + ∠ ADB = 180°
∠ ADB = 180 - 25 = 155°
Hence, ∠ ADB = 155°