A1 = 6
a2 = 5*a1 = 30
a3 = 5*a2 = 150
a4 = 5*a3 = 750
6, 30, 150, 750
(C)
To estimate the price of box seats for the ticket office to have the greatest income, we derive the equation and equate the derivative to zero.
S = 50x - x²
Deriving,
dS = 50 - 2x = 0
The value of zero from the generated equation is 25. Thus, the company should sell tickets at approximately $25.
Answer:
<em>The length of RS is 47 units</em>
Step-by-step explanation:
<u>Midsegment Theorem</u>
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
Substituting the variable lengths of the sides:
Operating:
Dividing the fraction:
Rearranging:
Operating:
x=16
The length of RS is:
The lenght of RS is 47 units