Considera que en tu casa tienes un televisor de 110 W, si pasa encendido 4 horas diarias, Cuál será la energía consumida durante
2 answers:
Answer:
a) 13.2kWh
b) 118800 cents
Explanation:
(a) To find the energy consumed during one month you use the following formula:
(1)
E: energy consumed
P: power of the tv (energy consumed per hour) = 110 W
t: time
The tv is on for four hours per day. You first calculate the number of hours, in which the tv is on, for one month:
Then, the tv is on 120 h on a month.
Next, you replace the values of P ant t in the equation (1) for E:
(b) If the price for kWh is 9 cents you have for the tv:
hence, the cost of the energy consumed by the tv is 118800 cents in on month
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Answer:
The angle of elevation of the rocket is increasing at a rate of 48.780º per second.
Explanation:
Geometrically speaking, the distance between the rocket and the observer (), measured in kilometers, can be represented by a right triangle:
(1)
Where:
- Horizontal distance between the rocket and the observer, measured in kilometers.
- Vertical distance between the rocket and the observer, measured in kilometers.
The angle of elevation of the rocket (), measured in sexagesimal degrees, is defined by the following trigonometric relation:
(2)
If we know that , then the expression is:
And the rate of change of this angle is determined by derivatives:
Where:
- Rate of change of the angle of elevation, measured in sexagesimal degrees.
- Vertical speed of the rocket, measured in kilometers per hour.
If we know that and
, then the rate of change of the angle of elevation is:
The angle of elevation of the rocket is increasing at a rate of 48.780º per second.