Length of the perpendicular "" = 5.
Length of the hypotenuse "" = 12.
The length of the missing side ''".
The length of the missing side (base) "" is .
Using Pythagoras theorem, we have
Hence verified. ✔
Answer:
8+pi/2
Step-by-step explanation:
The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi
Answer:
$17.5
Step-by-step explanation:
The operator, for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
Therefore, for $x dollars increase in fare, 20x less people will take the trip and at that time the total fare F is given by
F(x) =(20 + x)(500 - 20x) = 10000 + 100x - 20x²
For F(x) to be maximum, the condition is
Hence, 100 - 40x = 0
⇒ x = 2.5
Therefore, the fare of $(20 - 2.5) = $17.5 will maximize the total fare. (Answer)
Answer:
True; True; False; True
Step-by-step explanation: