Answer:
20 x 1 / 18= 1.11
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
CT
Step-by-step explanation:
The diameter is the longest possible line through the sphere and passes through the center.
 
        
             
        
        
        
Answer:
B
Step-by-step explanation:
First calculate BD using sine ratio in Δ BCD and the exact value
sin60° =  , thus
, thus
sin60° =  =
 =  =
 =  =
 =  ( cross- multiply )
 ( cross- multiply )
2BD = 12 ( divide both sides by 2 )
 ( divide both sides by 2 )
BD = 6
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Calculate AD using the tangent ratio in Δ ABD and the exact value
tan30° =  , thus
 , thus
tan30° =  =
 =  =
 =  =
 =  ( cross- multiply )
 ( cross- multiply )
 AD = 6
 AD = 6 ( divide both sides by
 ( divide both sides by  )
 )
AD = 6 → B
 
        
             
        
        
        
Because it says "not black" we would do white marbles
 There are 15 white marbles and a total of 20
So the fraction of white marbles to total would be 15/20
Because the answer is wanted as a decimal divide 15 by 20
15/20=.75
There is a .75 chance that she will not draw a black marble
        
             
        
        
        
Here is your great answer Simplifying
4x2y + 12xy2 + 9y3
Reorder the terms:
12xy2 + 4x2y + 9y3
Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)
Factor a trinomial.
y((2x + 3y)(2x + 3y))
Final result:
y(2x + 3y)(2x + 3y)