Answer:
12.6 square inches
Step-by-step explanation:
A=(1/2)bh
A=(1/2)12*2.1
A=12.6 square inches
Call the short side x. We have
tan 72° = opposite/adjacent = (12.8 cm) / x
x = 12.8 / tan 72° = 12.8/(3.01) = 4.158...
Answer: 4.2 cm
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, 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.
for $x 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)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
brainly.com/question/24062595
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Answer:
48
Step-by-step explanation:
f(x) = x³
f'(x) = 3x²
f'(-4) = 3(-4)²
f'(-4) = 48
I believe the answer to 1/7 times 20 would be 2.9 that is rounded to the nearest tenth but if your rounding to the nearest whole number it would be 3
As for 1/9 of 82 it would be 9.1 rounded to the nearest tenth and it would be 9 rounded to the nearest whole number.
