Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is   where
 where  is the radius.
 is the radius.
The radius of the given sphere is  yards and
 yards and  .
.
Therefore, we can substitute in the radius and solve:
 cubic yards
 cubic yards
 
        
                    
             
        
        
        
Answer:
what question?
Step-by-step explanation:
 
        
             
        
        
        
Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
 
        
                    
             
        
        
        
An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:
tan (60) = 15 / base/2
base = 10√3 = side length
        
             
        
        
        
Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be 
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be 
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48