This is the concept of application of Pythagorean theorem and algebra;
Suppose the the length of the ladder is x ft, the distance from the ground to the top of the ladder will be (x-8) ft, the distance from the bottom of the ladder to the building is 16ft, thus to find the length of the ladder we proceed as follows;
c^2=a^2+b^2
x^2=(x-8)^2+16^2
x^2=x^2-16x+64+256
collecting the like terms we get:
x^2-x^2+16x=320
16x=320
solving for x we get:
x=320/16
x=20 ft
the answer is x=20 ft
Capacitor in series with a 100Ω resistor and a 18.0 mH inductor will give a resonance frequency of 1000 Hz is 1.38F
Resonance Frequency of a combination of Series LCR circuit is the frequency at which resonance is achieved in a circuit.
Resonance Frequency of a combination of Series LCR circuit is given by:
f = 1 / 2π
where, f is the resonance Resonance Frequency of a combination of Series LCR circuit
L is the Inductance of the inductor
C is the capacitance of the capacitor
Given,
f = 1000Hz
L = 18.0 mH = 0.018H
R = 100Ω
C = ?
On substituting the values in the above-mentioned formula:
1000 = 1 / 2π
2π
= 0.001
On solving, C = 1.38 F
Hence, the capacitance of the given capacitor is 1.38F.
Learn more about Resonant frequency here, brainly.com/question/13040523
#SPJ4
<span>One astronomical unit is equal
to the average distance between the Earth and the Sun. The answer is letter B. However,
the distance between the earth and the sun varies as the earth revolves around
the sun. but recent discoveries have proven the exact distance. It is also
equal to 149, 597, 870, 700 meters and was defined by the International
Astronomical Union. </span>
Answer:
As opposed to n-type semiconductors, p-type semiconductors have a larger hole concentration than electron concentration.
Explanation:
In p-type semiconductors, holes are the majority carriers and electrons are the minority carriers. A common p-type dopant for silicon is boron or gallium. hope this you :)
The amount of work the two tugboats completed on the supertanker W = 3.12 × 10^9 joules .
Work is a physics term used to describe the energy transfer that takes place when an object is moved over a distance by an external force, at least some . The component of the force acting along the path multiplied by the length of the path can be used to calculate work if the force is constant. Mathematically, this idea is expressed as W = fd, where W is the work and f is the force multiplied by d, the distance. Work is completed when the force is applied at an angle of with respect to the displacement. Performing work on a body involves moving it in its entirety from one location to another as well as other methods. However, the work is thought to be negative if the applied force is in opposition to the item's motion, indicating that energy is being pulled away from the object
Learn more about work here:
brainly.com/question/1374468
#SPJ4