Answer:
1.26 feets
Step-by-step explanation:
Given the following :
Vertex (0, 0)
Focus of reflector = 6 feets
Extension = 5.5 feets
Equation to obtain conic section of a parabola:
(x - h)² = 4p(y - k)
Vertex (0, 0)
h =0 ; k = 0, p = 6, x = 5.5
(5.5 - 0)² = 4*6(y - 0)
30.25 - 0 = 24(y - 0)
30.25 = 24y
y = 30.25 / 24
y = 1.26
Hence, depth of reflector = 1.26 feets
There is a 1/3 chance or 33% chance that the other ball is also red.
Let x be the cost of each bed sheet and y be the cost of each of the towel. The system of linear equations that best represent the given condition is,
38x + 61y = 791.50
54x + 50y = 923
Solving for x and y in the equation gives, x = 12 and y = 5.5. Thus, one bedsheet costs $12 and each towel costs $5.5.
