62 triangle a and 59 triangle b
Answer:
Step-by-step explanation:
Lets x =measure of arc JK
37 = 1/2 (45 + x)
74 = 45 + x
74 - 45 = x
29 = x
or
x = 29
answer
B. 29
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
× 2 +
× 25
=2 ×
×
+ 2 ×
× 10 × 25
Answer:
Inverse functions Inverse Functions If f is a one-to-one function with domain A and range B, we can de ne an inverse function f 1 (with domain B ) by the rule f 1(y) = x if and only if f(x) = y: This is a sound de nition of a function, precisely because each value of y in the domain of f 1 has exactly one x in A associated to it by the rule y = f(x).
Step-by-step explanation:
Hope it helps
Answer:
- r = 12.5p(32 -p)
- $16 per ticket
- $3200 maximum revenue
Step-by-step explanation:
The number of tickets sold (q) at some price p is apparently ...
q = 150 + 25(20 -p)/2 = 150 +250 -12.5p
q = 12.5(32 -p)
The revenue is the product of the price and the number of tickets sold:
r = pq
r = 12.5p(32 -p) . . . . revenue equation
__
The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...
p = (0 +32)/2 = 16
The theater should charge $16 per ticket.
__
Maximum revenue will be found by using the above revenue function with p=16.
r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue
_____
<em>Additional comment</em>
The number of tickets sold at $16 will be ...
q = 12.5(32 -16) = 200
It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.