A ladder 25 feet long is leaning against a house. The base of the ladder is pulled away at a rate of 2 ft/sec.
a.) How fast is the top of the ladder moving down the wall when the base of the ladder is 12 feet from the wall?
Answer:
dy/dt = -1.094ft/sec
Explanation:
Given that:
dz/dt = 0,
dx/dt = 2,
dy/dt = ?
Hence, we have the following
Using Pythagoras theorem
We have 25ft as the hypotenuse, y as the opposite or height of wall, and x as the base of the triangle
X² + y² = z²,
12² + y² = 25²,
y² = 25² - 12²
y = √481
Therefore, we have the following:
2x dx/dt + 2y dy/dt,
= 2z dz/dt,
= 12 (2) √481 dy/dt,
= √481 dy/dt = -24,
= dy/dt = -1.094ft/sec
Therefore, final answer is -1.094ft/sec
Light Independent Reactions
Answer:
ΔF=125.22 %
Explanation:
We know that drag force on the car given as

=Drag coefficient
A=Projected area
v=Velocity
ρ=Density
All other quantity are constant so we can say that drag force and velocity can be given as

Now by putting the values



Percentage Change in the drag force



ΔF=125.22 %
Therefore force will increase by 125.22 %.
The electrical energy consumed in one year by using the light bulbs is 8,760 kWh.
The given parameters:
- Number of light bulbs = 10
- Power consumed by each bulb = 100 W
- Time of energy consumption, t = 1 year
<h3>What is electrical energy?</h3>
This is the electric power consumed or dissipated at a given period of time.
The electrical energy consumed in one year by using the light bulbs is calculated as
E = Pt

Thus, the electrical energy consumed in one year by using the light bulbs is 8,760 kWh.
Learn more about electrical energy here: brainly.com/question/60890
Answer:

Explanation:

Cross multiply


cross multiply

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