Can the triangles be proven similar using the sss or sas similarity theorems? yes, â–³efg ~ â–³klm only by sss. yes, â–³efg ~ â–³klm only by sas. yes, â–³efg ~ â–³klm by sss or sas. no, they cannot be proven similar by sss or sas.

Answer: L

Explanation: L is the specific latent heat for a particular substance (kJ kg−1 or in BTU lb−1), either Lf for fusion, or Lv for vaporization.

The workman will remove approximately 283,525.56 cubic inches of material.

The volume of a cylindrical hole can be calculated using the formula V = πr²h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius, and h is the height (or depth in this case). Given that the hole has a diameter of 30 inches, the radius would be half of that, which is 15 inches. So, plugging these values into the formula, we get V = 3.14159 * 15² * 60 ≈ 283,525.56 cubic inches. Therefore, the workman will remove approximately 283,525.56 cubic inches of material.

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The Mach number for the plane is approximately 3.51.

To find the speed of the plane, we can use the equation:

Speed of sound = Speed of the plane / Time taken

Given: Speed of sound (v) = 344 m/s

Time taken (t) = 3.51 seconds

Let's calculate the speed of the plane:

Speed of plane = Speed of sound × Time taken

Speed of plane =\(344 m/s * 3.51 s\)

Speed of plane ≈ 1206.44 m/s

Rounded to 2 decimal places, the speed of the plane is approximately 1206.44 m/s.

To find the Mach number of the plane, we need to divide the speed of the plane by the speed of sound:

Mach number = Speed of plane / Speed of sound

Mach number ≈ \(1206.44 m/s / 344 m/s\)

Mach number ≈ 3.51

Rounded to 2 decimal places, the Mach number for the plane is approximately 3.51.

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when a glacier came through the Bronx approximately 240,000 years ago it blocked part of the original path of the Bronx river and subsequently reshaped and modified the path of the river over the past 200 years the rivers course has been altered dramatically by human impact and industry.

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Answer:

6.65m/s

Explanation:

Using the equation of motion

S = ut + 1/2gt²

S is the height of fall

t is the time

u is the horizontal velocity

g is the acceleration due to gravity

Given

S = 300 + 50

S = 350m

t = 7.8seconds

g = 9.8m/s^2

Get S

S = 7.8u + 1/2(9.8)(7.8)²

S = 7.8u + 298.116

350 = 7.8u + 298.116

7.8u = 350 - 298.116

7.8u = 51.884

u = 51.884/7.8

u = 6.65m/s

Hence the rock's horizontal velocity was 6.65m/s

Answer:

Designing experiments to replicate the conditions in which life may have first evolved on Earth

Explanation:

In 1953, Stanley L. Miller and Harold C. Urey conducted an experiment to prove that life started from inanimate objects. The research was conducted by utilizing proposed chemical substances, mixed together through a scientific design process. The outcome of the research is the predicted atmospheric conditions before the pre-living form started on earth.

Therefore, in this case, the action that might lead scientists to develop new explanations about the universe is "Designing experiments to replicate the conditions in which life may have first evolved on Earth."

Answer:

The momentum and the kinetic energy remains constant.

Explanation:

A uniform circular motion is defined as the motion of a body which moves in a constant speed or at the same speed during the motion.

In the context, it is given that a satellite is moving around the earth in a circular orbit at a constant speed. The satellite has certain momentum as well as energy.

We can conclude that the kinetic energy and the momentum of the satellite remains constant as the momentum and kinetic energy depends on the speed of an object And here the speed of the satellite is constant, so the moment as well as the kinetic energy of the satellite remains constant while moving in a circular path.

The wave has a frequency of approximately 31.83 Hz, a wavelength of approximately 12.57 cm, and a speed of approximately 400.42 cm/s  

For the wave equation y = 2sinπ(0.5x - 200t), where distances are in centimeters and time in seconds:
(i) Frequency: The term inside the sine function that includes the time (t) is -200t. The coefficient of t is 2π times the frequency (f), so 2πf = 200. To find the frequency, divide by 2π:
f = 200 / (2π) ≈ 31.83 Hz.
(ii) Wavelength: The term inside the sine function that includes the distance (x) is 0.5x. The coefficient of x is 2π divided by the wavelength (λ), so 2π/λ = 0.5. To find the wavelength, divide 2π by 0.5:
λ = 2π / 0.5 ≈ 12.57 cm.
(iii)Speed: The speed (v) of the wave can be calculated using the formula v = fλ.
v = (31.83 Hz)(12.57 cm) ≈ 400.42 cm/s.

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The resistance in the given series RL AC circuit with a 20.0 mH inductor and a phase angle of 20.0° at 1000 Hz is approximately 114.13 ohms.

In a series RL circuit, the impedance can be represented by the formula Z = √(\(R^2\) + \((\omega L)^2\)), where R is the resistance, ω is the angular frequency (2πf), and L is the inductance. The phase angle, θ, is given by the equation tan(θ) = ωL/R.

Given that the inductance, L, is 20.0 mH and the frequency, f, is 1000 Hz, we can calculate ω as follows:

ω = 2πf = 2π × 1000 = 2000π rad/s.

Let's substitute the values into the equation tan(θ) = ωL/R:

tan(20.0°) = (2000π × 20.0 × \(10^{-3}\)) / R.

Simplifying the equation, we get:

R = (2000π × 20.0 × \(10^{-3}\)) / tan(20.0°) ≈ 114.13 Ω.

Therefore, the resistance in the given circuit is approximately 114.13 ohms.

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1.  a) no charge

2. a) a transverse wave

3. d) all of the above.

4. a) greater than that of radio waves.

5. b) lower than that of radio waves.

6. d) all of the above.

7. d) all of the above.

8. d) all of the above

9. a) exist for all particles

10. a) modifies classical results

11.  b) the returnee is younger

12. d) all of the above statements are correct.

1. An electromagnetic wave consists of oscillating electric and magnetic fields that propagate through space. It does not carry any net charge.

2. Electromagnetic waves are transverse waves, meaning that the direction of the electric and magnetic fields is perpendicular to the direction of wave propagation.

3. Light exhibits both wave-like and particle-like behavior, as described by the wave-particle duality principle in quantum mechanics.

4. Gamma rays have a higher frequency than radio waves, which means they have more oscillations per unit of time.

5. Gamma rays have a shorter wavelength than radio waves, indicating that the distance between successive wave crests is smaller.

6. When a tree is located 20 meters from a convex lens with a focal length of 10 cm, the image formed is inverted (upside down), diminished (smaller in size compared to the object), and real (can be projected on a screen).

7. An arrow placed 2 cm from a convex lens with a focal length of 5 cm will produce an erect (upright), virtual (cannot be projected on a screen), and magnified (larger in size compared to the object) image.

8. A parabolic mirror, such as a parabolic reflector or a parabolic antenna, has the property of focusing all parallel rays of light (or electromagnetic waves) to a single point called the focus. It also reflects rays originating from the focus in a parallel direction, which is useful for applications like satellite dish antennas. Furthermore, parabolic mirrors can work for a wide range of electromagnetic waves, including radio waves.

9. De Broglie waves, proposed by Louis de Broglie, suggest that particles, such as electrons and protons, exhibit wave-like properties. They are not limited to sound waves or specific particles like hydrogen. De Broglie waves play a crucial role in understanding the wave-particle duality of matter.

10. The Lorentz factor, denoted as γ (gamma), is a term in special relativity. It modifies classical results as objects approach the speed of light, accounting for time dilation, length contraction, and relativistic mass increase. It is a key factor in understanding the effects of high-speed motion and is not limited to geometric optics.

11. In the Twin Paradox scenario, the traveling twin experiences time dilation due to their high velocity, causing them to age slower compared to the twin who stays at home. Thus, when they reunite, (b) the returnee is younger. This phenomenon is a consequence of special relativity and has been confirmed by experiments and observations.

12. Bohr's atomic model describes electrons in discrete energy levels or orbits. According to the model, electrons can jump to lower orbits, emitting photons in the process. They can also spontaneously jump to higher orbits. Additionally, the model suggests that the electron orbit would eventually decay, resulting in the electron spiraling into the proton. However, this aspect is not consistent with modern understanding and is considered a limitation of Bohr's model.

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The movement of wave can be detected using scientific instruments.

One such example is Seismometer.

Thus, the statement is false.

An ideal current source as an electronic device that provides a constant current. We then designed three different current sources: BJT, op-amp, and FET current sources.

An ideal current source is an electronic device that provides a constant and independent current regardless of the load connected to it. It can be considered as an ideal voltage source in series with a resistor. The output resistance of an ideal current source is infinite.
Now, let's design three different current sources and calculate their corresponding output resistances:
1. Bipolar Junction Transistor (BJT) Current Source:
A BJT can be used to create a current source by configuring it in the common-emitter mode. By biasing the base-emitter junction with a constant voltage, a constant collector current can be achieved.
The output resistance of this BJT current source can be calculated using the hybrid-pi model. It is given by the formula: \(r_out = (1 + β) * (VT / Ic),\)

where β is the current gain of the transistor, VT is the thermal voltage, and Ic is the collector current.
2. Operational Amplifier (Op-Amp) Current Source:
An op-amp can be used to create a current source by connecting a resistor between the inverting input and the output of the op-amp, and providing a reference voltage at the non-inverting input.
The output resistance of this op-amp current source is equal to the resistance connected to the inverting input.
3. Field-Effect Transistor (FET) Current Source:
A FET can be used to create a current source by configuring it in the common-source mode. By biasing the gate-source junction with a constant voltage, a constant drain current can be achieved.
The output resistance of this FET current source can be calculated using the formula:

\(r_out = (1 / gm),\)

where gm is the transconductance of the FET.

In summary, we defined the corresponding output resistances for these sources are given by the formulas mentioned above. These sources can be used in various applications, such as biasing circuits and current mirrors.

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Answer:

In a closed system, the total energy is conserved or remains the same as energy transformations take place.

Explanation:

The law of conservation of energy states that energy cannot be created or destroyed but can be transformed from one form to another.

This law of conservation of energy applies only to a closed system. A closed system is a system which does not exchange energy with its surroundings. All forms of energy conversions occurring within a closed system does not result in an increase or decrease of the total energy of the system, rather, energy remains constant. For example, the universe is a closed system in that all forms of energy conversions occurs within it and energy is not exchanged with an external environment. However, the earth is not a closed system as some of the energy it receives from the sun can be radiated out into space. Since it's an open system, its total energy can change.

The total energy of a closed system as energy conversion takes place

remains constant.

A closed system is the system which doesn't permit any movement of matter

in and out of the system. The closed system doesn't allow the exchange of

energy with its environment.

Since energy exchange isn't permitted in the closed system, the energy

remains constant during energy conversion.

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Take the direction of motion to be the positive direction. The crate slows to a rest from 30.0 m/s in a matter of 5.0 s, so it has acceleration a such that

0 = 30.0 m/s + a (5.0 s)   →   a = -6.0 m/s²

At the moment its speed is 0, the crate has a net force of s + f acting in negative direction, where s and f denote the magnitudes of the stopping force (s = 250 N) and the friction force, respectively. By Newton's second law, we have

(-s) + (-f) = (100 kg) (-6.0 m/s²)

250 N + f = 600 N

f = 350 N

The friction force is proportional to the normal force by a factor of µ, the coefficient of kinetic friction. There is no movement in the up- and downward directions, so Newton's second law says

(-w) + n = 0

where w is the weight of the crate and n is the magnitude of the normal force. So

n = w = (100 kg) (9.80 m/s²) = 980 N

Then

f = µ n

350 N = µ (980 N)

µ = (350 N) / (980 N) ≈ 0.357

The idea of inflation, when incorporated into the Big Bang theory, provides an explanation for both the origin of galaxies and the origin of atomic nuclei.

Inflation is a concept that suggests the early universe underwent an extremely rapid expansion phase shortly after the Big Bang. This rapid expansion caused the universe to stretch exponentially, leading to the smoothness and uniformity observed on large scales today. Additionally, inflation explains the formation of galaxies. Quantum fluctuations during inflation created density variations in the early universe, which served as the seeds for the formation of structures like galaxies through gravitational attraction.

Furthermore, inflation plays a crucial role in explaining the origin of atomic nuclei. During the early universe, when it was extremely hot and dense, the conditions were not suitable for the formation of stable atomic nuclei. However, as the universe expanded and cooled down during the inflationary phase, the energy densities decreased, allowing for the formation of atomic nuclei such as helium and hydrogen. This process, known as nucleosynthesis, accounts for the origin of the light elements present in the universe today.

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Explanation:

ano Ang mga advantages o benepisyo ng pag iimpok sa bangko

Answer:

1062.8 N      

Explanation:

For simplicity, put the 600 N force on the x-axis

   and the 500 N force 30 degrees from it

Horizontal force = 600 + 500 cos 30 = 1033N

Vertical force = 500 sin30 = 250 N

Resultant force (using Pythag theorem) =sqrt (1033^2 + 250^2) =1062.8 N  

   angle = arctan (250/1033) = 13.6 °  above the x-axis

The magnitude of the electric field at a position 1.2 m from the point charge is approximately 2.91 x 10^-6 N/C. The correct option is a.

To find the magnitude of the electric field at a distance of 1.2 m from a point charge, we can use Coulomb's Law. Coulomb's Law states that the magnitude of the electric field (E) created by a point charge (Q) at a distance (r) is given by the equation:

E = k * (Q / r^2)

where k is the electrostatic constant (k ≈ 9 x 10^9 N m^2/C^2).

Substituting the given values into the equation, we have:

E = (9 x 10^9 N m^2/C^2) * (4.2 x 10^-6 C) / (1.2 m)^2

Calculating this expression, we get:

E ≈ 2.91 x 10^-6 N/C

Therefore, the magnitude of the electric field at a position 1.2 m from the point charge is approximately 2.91 x 10^-6 N/C. Thus, option (a) is the correct answer.

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Answer:

C.) vector C

Explanation:

From the graph provided:

Four vectors are present :

Vectors a, b, c and d.

The x-component of the vector is its magnitude along the x-axis.

Taking the coordinate of each vector:

Vector a = (1,4) : length of x- component = 1

Vector b = (1, 1) : length of x- component = 1

Vector c = (4, -4) : length of x- component = 4

Vector d = (-3, 4) : length of x- component = - 3

Therefore, vector c has an x-component length of 4

Answer:

1.) C.

2.) D

3.) A

Explanation:

Answer:

Due to increase in the inertia and velocity of the earth by the warming of air.

Explanation:

Answer:

A) The ball will roll forever in a straight path.

The time cannon ball to hit the ground is 9s and length of platform is 1,458 m.

To calculate time taken by cannon ball hit ground we use formula,

speed = distance / time

s = d / t

As given,

s is 18m/s

d is 162m

t = ?

Putting the values,

18m/s = 162m / t

t = 162m / 18m/s

t = 9 s

To calculate length of platform,

length = distance x time taken to hit the ground

l = 162m x 9s

l = 1,458 m

When an object is moving, its velocity is the rate at which its direction is changing as seen from a specific point of view and as measured by a specific unit of time. a vector measurement of the motion's velocities. Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway.

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(a) To determine the impulse response of the system, we need to find the output of the system when the input is an impulse function.

In this case, the impulse function is given by

s(k) = 2δ(k) + 4δ(k−1) + 61(k−2), where δ(k)

is the discrete-time impulse function.

When the input is an impulse function, the output is equal to the impulse response of the system. Therefore, the impulse response can be found by setting s(k) = δ(k) and solving for the output.

By substituting δ(k) into the given expression for s(k), we have:
2δ(k) + 4δ(k−1) + 61(k−2) = δ(k)

Simplifying the equation, we get:
2 + 4δ(k−1) + 61(k−2) = 1

Now, comparing the coefficients of δ(k−1) and the constant term on both sides of the equation, we can determine the impulse response.

From the equation, we can see that the coefficient of δ(k−1) is 4, and the constant term is 2 + 61(−2) = −120.

Therefore, the impulse response of the system is h(k) = 4δ(k−1) − 120.

(b) To construct a difference equation describing the relationship between the input and output, we need to express the output of the system, y(k), in terms of the input, u(k), and past values of the output and input.

From part (a), we know that the impulse response is h(k) = 4δ(k−1) − 120.

Using this impulse response, we can write the difference equation as follows:
y(k) = 4u(k−1) − 120u(k)

(c) To derive an expression for the z-transforms of U(z) and Y(z), we need to take the z-transform of the difference equation derived in part (b).

Taking the z-transform of both sides of the difference equation, we get:
Y(z) = 4z^(-1)U(z) - 120U(z)

(d) To draw a block diagram relating Y(z) and U(z) using just the summer, delay, and gain blocks, we can represent the z-transform equation from part (c) as a block diagram.

The block diagram can be represented as follows:

                +-----+
                |     |
           ---->| z^(-1) |---+------> Y(z)
          |     |     |   |
          |     +-----+   |
          |               |
     U(z)--|     +-----+   |
          |     | 4   |   |
          +---->|     |---+
                |     |
                +-----+

In the block diagram, the delay block represents z^(-1), the gain block represents 4, and the summer block represents the addition of the two signals.
Therefore, the order of the system is 1, and it is directly related to the number of delay blocks used in the block diagram.

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The static friction coefficient is higher than the kinetic friction coefficient.

What is static friction?

Friction is the obstruction or resistance that prevents one solid object from rolling or sliding over another. F indicates this. Any solid and liquid layer motion is opposed by a force. When two materials slide over one another, this force is created. There is friction all around us. For instance, when we walk, the ground is in contact with our feet. When we walk, one foot advances while the other moves backward, applying pressure to the ground. When this force is applied to the ground, the ground applies an equal and opposing force to our feet. One of the laws of motion is being followed in this situation.

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The slope of the graph of the equation at the point (20, 2) is 1/8.

To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:

xy - 9y^2 = 4

To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:

1 * y + x * dy/dx - 9 * 2y * dy/dx = 0

Simplifying this equation:

y + x * dy/dx - 18y * dy/dx = 0

Grouping the terms with dy/dx:

dy/dx * (x - 18y) = -y

Now, let's solve for dy/dx by dividing both sides by (x - 18y):

dy/dx = -y / (x - 18y)

Substituting the given point (20, 2) into the equation:

dy/dx = -2 / (20 - 18(2))

         = -2 / (20 - 36)

         = -2 / (-16)

         = 1/8

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Answer:

Yes we can.

Explanation:

1 Litre= 0.001km

1000 Litre= 1km