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Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that . So
Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that . So
After how many hours will both candles be the same height ?
This is t when
Multiplying by (-1)
Both candles will have the same height after 4 hours.
Answer:
The guy wire lenght is 500 ft.
Step-by-step explanation:
The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.
Applied in this example, we can rephrase it as:
The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the square of the Guy wire lenght.
So:
Answer:
The correct option is 4
Step-by-step explanation:
The solution is given as
Now for the initial condition the value of C is calculated as
So the solution is given as
Simplifying the equation as
So the correct option is 4