QUESTION 4 A motorcycle is traveling at a speed of 10 km/h along a straight road. Express the speed in m/s? (2 MARKS]​

part A. The final angular speed of the student is 1.28 rad/s.

part B. The change in kinetic energy of the system is 7.04 J.

We have that the moment of inertia of the system is assumed to be constant, we then write:

Iω = I'ω'

The moment of inertia of the objects is written in the form of :

I_objects = 2MR^2

Therefore, the initial moment of inertia is gotten as:

I = M_student R_stool^2 + 2MR^2

The final moment of inertia is gotten as:

I' = M_student R_stool^2 + 2M(0.3)^2

The angular momentum is conserved, we ten have:

Iω = I'ω'

Solving for ω', we get:

ω' = (Iω)/(I') = ω (I/I')

ω' = 0.64 rad/s (M_student R_stool^2 + 2MR^2) / (M_student R_stool^2 + 2M(0.3)^2)

ω' = 1.28 rad/s

part b.

The initial kinetic energy is

K = 1/2 I ω^2

K = 1/2 (8 kg m^2) (0.64 rad/s)^2 = 1.6384 J

The final kinetic energy is given by:

K' = 1/2 I' ω'^2

K' = 1/2 (8 kg m^2 + 2(3 kg)(0.3 m)^2) (1.28 rad/s)^2 = 8.6784 J

The change in kinetic energy is therefore calculated as:

ΔK = K' - K = 8.6784 J - 1.6384 J = 7.04 J

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Answer:

N = hailstones / sec = 580 / 41 = 14.1 stones / sec

mass = .007 kg

v = 6.7 m/s * sin 31 = 3.45   speed of stones perpendicular to surface

Δp = 2 m Δv        change in momentum dur to striking window

F = N Δp        force required to repel hailstones

F = 2 N m Δv = .68 N       force on window pane

Pressure = force / area       (don't need window area for force)

In Tableau, a diverging palette displays two value ranges. It uses a color to show the range where a data point is from and color intensity to show its magnitude.

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Time: s (second)

Mass: kg (kilogram)

Length: m (meter)

The SI units (International System of Units) are a standard system of measurement used in science, engineering, and many other fields. They provide a universal language for expressing and comparing measurements. The SI units are based on seven fundamental physical quantities, and each of these quantities is associated with a specific base unit, which is defined independently of any other unit.

Seven base units of the SI system are:

Length: meter (m)

Mass: kilogram (kg)

Time: second (s)

Electric current: ampere (A)

Temperature: kelvin (K)

Amount of substance: mole (mol)

Luminous intensity: candela (cd)

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The student's final angular speed is roughly 0.60 radians per second.

The speed of an object in rotation is known as its angular speed. In radians, the distance traveled is denoted by the symbol. The amount of time is expressed in seconds. The angular speed is therefore expressed in radians per second, or rad/s.

This issue can be resolved using the conservation of angular momentum:

L = Iω

The student and the two objects initially have the following angular momentum:

L1 = (2 × 3 kg) × (1 m) × (0.64 rad/sec) = 3.84 kg m²/s

The moment of inertia of the student plus the stool is given as I = 8 kg m

I' = I + 2mr²

where m is the mass of each object (3 kg), and r is the new radius (0.3 m).

I' = 8 kg m² + 2 × 3 kg × (0.3 m)² = 8.54 kg m²

L1 = L2

I1 ω1 = I2 ω2

8 kg m² × 0.64 rad/sec = 8.54 kg m² × ω2

ω2 = (8 kg m² × 0.64 rad/sec) / (8.54 kg m²) = 0.60 rad/sec.

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a) The deer were not in your way, you would come to a stop after traveling 45 meters.

b) You are going 10 m/s (or approximately 36 km/h) when you reach the deer's position.

c) It takes you 2 seconds to get to the deer's position.

d) The acceleration will be -0.6m/s

a) To calculate where you would come to a stop if the deer were not in your way, we can use the following kinematic equation:

v^2 = u^2 + 2as

0^2 = 30^2 + 2(-10)s

0 = 900 - 20s

20s = 900

s = 45

Therefore, if the deer were not in your way, you would come to a stop after traveling 45 meters.

b) To calculate how fast you are going when you reach the deer's position, we can use the same kinematic equation as in part a, but this time we want to solve for the final velocity (v):

v^2 = u^2 + 2as

v^2 = 30^2 + 2(-10)(40)

v^2 = 900 - 800

v^2 = 100

v = 10 m/s

Therefore, you are going 10 m/s (or approximately 36 km/h) when you reach the deer's position.

c) To calculate how long it takes you to get to the deer's position, we can use another kinematic equation:

s = ut + (1/2)at^2

40 = 30t + (1/2)(-10)t^2

20t^2 - 30t + 40 = 0

Using the quadratic formula, we get:

t = [30 ± sqrt(30^2 - 4(20)(40))] / (2(20))

t = [30 ± sqrt(100)] / 40

t = 1 or 2

We take the positive root, t = 2, because we are interested in the time it takes you to get to the deer's position after you start braking. Therefore, it takes you 2 seconds to get to the deer's position.

d) To calculate the acceleration of the deer necessary to just avoid collision with your car, we can use the following kinematic equation:

s = ut + (1/2)at^2

1.2 = ut + (1/2)at^2

We know that the initial velocity of the deer is likely greater than zero, since it is not stationary in the road, so we can't simply use u = 0. However, we can estimate u based on the time it takes for the deer to move 1.2 meters out of the way. If we assume that the deer moves at a constant acceleration, then the final velocity of the deer when it has moved 1.2 meters is:

v = u + at

We know that v = 0 (since the deer comes to a stop after moving 1.2 meters), and we know t = 2 (since this is the time it takes for the car to reach the deer's original position). Therefore:

0 = u + a(2)

u = -2a

Substituting this into the previous equation we have:

s = ut+(1/2)at^2

1.2 = -2a*2 +(1/2)a * 2^2

= -0.6m/s

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Friction is the pressure that happens when two objects rub together. Microscopic bumps on the surface of each object obstruct the action of the different as the surfaces slide throughout one another.

Friction is constantly contrary to the course of motion. The frictional pressure between two surfaces in attempting to slide one object throughout the different however neither objects are transferring with admire to every other. The friction is usually equal to the internet force parallel to the surface.

We can outline sliding friction as the resistance created by using any two objects when sliding against each other. This friction is also recognised as kinetic friction and is defined as the pressure that is needed to keep a surface sliding along any other surface.

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(a) The wire Obeys over the range differences of Ohm's law Potential between 5 & 20 V.

The relationship between current, voltage, and resistance is described by Ohm's law. The voltage or potential difference across a large number of materials determines how much constant current flows through them.

Given, A table of voltage and current shown in the picture below:

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, and the constant of proportionality is the resistance of the conductor. In other words, Ohm's law can be expressed as:

V = IR

where V is the potential difference across the conductor,

"I" is the current flowing through the conductor,

and R is the resistance of the conductor.

A) V =IR for Voltage, 5 - 20V it obeys. The range between Ohm's law Over on the potential differences. 5 & 20v, So This option is true

B) You Can't Say that Resistance the Range 5 -40 after 20 V Changes, Check it, at 25

dV/ dI = (25 -20)/(1.5 -1) = 10 ohm

C) Since Obey's accuracy, is not within 5V-20V it is Ohm's law with good this option is not true.

D) After 20V this option is not true also.

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Complete question:

The best description of energy transfer in a closed system is that it occurs within the system and does not involve any exchange of energy with the surroundings.

What is Energy?

Energy is a property of objects or systems that can be transferred to other objects or systems, or converted into different forms. It is a scalar physical quantity that can be defined as the ability to do work or produce heat. Energy exists in many forms, such as mechanical, thermal, electrical, chemical, nuclear, and electromagnetic, and can be transformed from one form to another. The SI unit of energy is the joule (J), but other units such as the calorie (cal) or the electronvolt (eV) are also commonly used in different contexts.

In a closed system, energy transfer occurs between different parts of the system, but no energy is exchanged with the surroundings. Energy can be transformed from one form to another within the closed system, but the total amount of energy remains constant. Therefore, the best description of energy transfer in a closed system is that it occurs within the system and does not involve any exchange of energy with the surroundings.

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Therefore, the thrust due to ejected fuel is 2310 N, the thrust due to accelerated air passing through the engine is 98340 N, and the power delivered is 3260 hp.

Acceleration is the rate of change of velocity of an object with respect to time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration occurs when an object changes its speed, its direction, or both. A positive acceleration means that the speed of an object is increasing, while a negative acceleration (also called deceleration) means that the speed of an object is decreasing. The standard unit of acceleration is meters per second squared.

Here,

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system is conserved when there are no external forces acting on it. In this case, we can assume that the airplane and the burned gases form a closed system, so the total momentum of the system is conserved.

Part A: To find the thrust due to ejected fuel, we can use the equation:

Thrust = (mass flow rate of fuel) x (exit velocity of burned gases)

Thrust = (4.2 kg/s) x (550 m/s) = 2310 N

Part B: To find the thrust due to accelerated air passing through the engine, we can use the equation:

Thrust = (mass flow rate of air) x (exit velocity of air) + (mass flow rate of fuel) x (exit velocity of burned gases)

The mass flow rate of air is 120 kg/s, and the exit velocity of air is the sum of the speed of the airplane and the speed of the air relative to the airplane. We can use the formula for the velocity addition to find the exit velocity of air:

exit velocity of air = speed of airplane + speed of air relative to airplane

exit velocity of air = 270 m/s + 550 m/s = 820 m/s

Now we can substitute the values into the equation:

Thrust = (120 kg/s) x (820 m/s) + (4.2 kg/s) x (550 m/s)

Thrust = 98340 N

Part C: To find the power delivered by the engine, we can use the equation:

Power = Thrust x Velocity

We can use the speed of the airplane as the velocity, since this is the speed at which the engine is delivering thrust to the airplane. The speed of the airplane is 270 m/s, which is equivalent to 603 mi/h. To convert the thrust from Newtons to pounds-force (lbf), we can divide by the conversion factor 4.448 N/lbf. Then we can use the following formula to convert the power from watts to horsepower:

1 hp = 746 W

Substituting the values into the equation, we get:

Power = (98340 N / 4.448 N/lbf) x (603 mi/h) / (3600 s/h) x (1 hp / 746 W)

Power = 3260 hp

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Answer:

I need help

with that

Explanation:

so some one how can help me plis

I need help with that thing so I can not get

The original angle between the two vectors was 20.91 degrees. when two vectors lie with their tails at the same point but change from positive to negative.

The angle between the vectors is increased by 20 degrees, their scalar product changes sign, we can set up the following equation:

cos(θ + 20) = -cos(θ)

cos(θ)cos(20) - sin(θ)sin(20) = -cos(θ)

cos(θ)(cos(20) + 1) = sin(θ)sin(20)

cot(θ) = -tan(20)

θ = tan⁻¹(-tan(20))

θ ≈ -20.91 degrees

Therefore, the original angle between the two vectors was 20.91 degrees.

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The mass of the product Fe₂O₃ when the masses of the reactants are specified is calculated to be 57.4 g.

The mass of the product when Fe reacts with O₂ will be equal to the summation of the masses of the reactants i.e,Σ(M₁ + M₂) and this is because of the law of conservation of mass.

We know,

Fe + O₂ → Fe₂O₃

Mass of Fe is given as 44.6 g

Mass of O₂ is given as 12.8 g

So, the mass of Fe₂O₃ is 57.4 g.

Thus, the required mass of the product Fe₂O₃ formed when the masses of reactants are given is 57.4 g.

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An opaque spot called a cataract may develop on the lens, which limits the amount of light transmitted into the eye.

A cataract is described as a condition that affects the lens of the eye, causing it to become cloudy and opaque.

The lens is responsible for sending visual information to the brain,  and also is described as a transparent structure in the eye that helps to focus light onto the retina.

Cataracts are most commonly associated with older people, but in some cases can be caused by other factors such as genetics, certain medical conditions.

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Answer:

The velocity of the ball can be found by dividing the total distance (130 meters) by the total time (20 seconds). This gives a velocity of 6.5 m/s

1. People have to prepare for natural disasters in order to reduce the risk of injury, death, and property damage caused by the disaster.

Natural disasters are adverse events that occur naturally and are a result of the interaction between the physical environment and human activities. They can include floods, hurricanes, tornadoes, earthquakes, tsunamis, wildfires, landslides, volcanic eruptions, and extreme weather events. Natural disasters can have devastating impacts on communities, including loss of life, damage to property, displacement, and destruction of livelihoods. Governments, organizations, and individuals are increasingly working to reduce the impacts of natural disasters through improved risk management, infrastructure planning, and disaster response and recovery efforts.

2. People have to prepare for natural disasters in order to be able to respond quickly and efficiently in the event of an emergency.

3. People have to prepare for natural disasters in order to plan for the financial impacts of the disaster.

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The magnitude of their vector sum is 0.149 m.

What is magnitude?

Magnitude is a measure of the size or intensity of a physical quantity. It can refer to the size of an earthquake, the brightness of a star, the intensity of a hurricane, or any other physical quantity that can be measured in size or intensity.

Ex = Ecose (0.111) cos90° = 0 =

Ey Esino (0.111)sin90° 0.111m =

And

Fr=Fcose (0.234) cos300° 0.117m = Fy = Fsin0 (0.234) sin300°-0.203m

So the components of the vector sum are

Rr Ex+Fr=0+0.1170.117m =

Ry = EyFy 0.111 -0.203-0.092m

The magnitude of the vector sum is

R= |R² + R² = √(0.117)2 + (−0.092)2 = 0.149m

Therefore, The magnitude of their vector sum is 0.149 m.

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Both approach and avoidance motivation can impact feelings of contentment in a relationship. Approach motivation can lead to positive feelings of contentment by promoting behaviors that enhance intimacy and closeness, while avoidance motivation can help prevent negative experiences.

Approach motivation can lead to positive feelings of contentment in a relationship by driving individuals to seek out and engage in behaviors that promote intimacy, closeness, and positive interactions with their partner.

Avoidance motivation can also impact feelings of contentment in a relationship, but in a different way. It can lead individuals to engage in behaviors that prevent or mitigate negative experiences in the relationship.

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Motivation sometimes really helpful to a person when he or she confuses for the next step or hesitates in taking decisions. It helps to heal the problems in a relationship.

In psychology theory and research, the dichotomy between the drive to pursue rewards and the drive to avoid risks has a long and significant history.

For instance, Pavlov's  description of two distinct systems that direct an organism towards or away from a stimulus prefigured more recent evidence from cognitive neuroscience that identifies various brain activity patterns related to the presentation of incentives and dangers.

The fact that approach and avoidance motives and goals are mostly independent of one another is a recurrent finding in research on these topics.

For instance, Gable, Reis, conducted a series of confirmatory component analyses on individual difference measures of approach and avoidance constructs to support a two-factor model of these constructs.

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Answer: an object's orbital speed is faster when nearer to the Sun and slower when farther away

Explanation:

Kepler's second law, which states that as a planet moves around its orbit, it sweeps out equal areas at equal times, implies that a planet travels faster when it is nearer to the sun and slower when it is farther from the sun, which is option a.

Kepler states that when a planet gets closer to the sun in its orbit, it generally covers a greater distance in a given amount of time, resulting in a higher speed. On the other hand, at the same time, the planet moves a small distance when it is farther from the sun. Here the Kepler second is explained.

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The torque acts on a distance of 0.2 m from one end of the beam is 88.96 Nm and the torque acting upon a the distance of 0.3 m from the other end of the beam is 133.4 Nm. Then, the net torque of the mass is 44.48 Nm.

Torque is the rotational analogue of force on an object. It is the measure of force that acts on the object to rotate the object about an axis.

It is the cross product of force and distance from the end of axis. Torques generates the angular momentum in the object.

Given the mass  m= 100 pounds.

1 pound = 4.448 N

then Force by the weight F = 100 × 4.448 = 444.8 N.

Then, the torque acts over 0.2 m from one end = F .r = 444.8 × 0.2 = 88.96 Nm.

Then, the torque acts over 0.3 m from one end = F .r = 444.8 × 0.3 = 133.4 Nm.

Therefore, the net torque acting on the mass is 133.4 -88.96 = 44.48 Nm.

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The magnitude of the sum of the vectors is 58.3 N.

The resultant of the two vectors is calculated by resolving the vectors as follows;

The sum of the x - component of the vectors is calculated as follows;

Vx = V cos (θ)

where;

Vx = 30 cos (45) + 50 cos (45)

Vx = 56.57 N

The sum of the y - component of the vectors is calculated as follows;

Vy = 30 sin (45) - 50 sin (45)

Vy = -14.14 N

The magnitude of the sum of the vectors;

V = √ (56.56² + (-14.14²)

V = 58.3 N

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The value of the frictional force acting on the block will be equal to 8 N.

Force is defined as the product of mass and acceleration, and it acts on the body to move it.

Because an external force is acting on the block, a frictional force opposes the block's movement. The frictional force is denoted by f(k) and is given by

f(k) = external force - (ma)

f(k) = 12N - (5×0.8)

f(k) = 12- 4

f(k) = 8 N

f(k) = 8 N and since it opposes the external force then the sign will be negative that is f(k) = -8N.

Therefore, the frictional force will be 8 N.

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The number of photons emitted per second is 2.16 x 10^28 photons/s. The magnitude of the electric field in the sunlight is 3.22 x 10^-5 V/m. The maximum current that can be supplied per unit area by the solar cell device is 1.29 microamperes per square meter.

a. The energy of a single photon is given by E = hf, where h is Planck's constant and f is the frequency. We can find the frequency of the radio wave as follows:

f = 700 kHz = 700,000 Hz

The energy of a single photon at this frequency is:

E = hf = (6.626 x 10^-34 J s) x (700,000 Hz) = 4.64 x 10^-26 J

The power of the transmitter is 1 kW = 1000 J/s. Therefore, the number of photons emitted per second is:

(1000 J/s) / (4.64 x 10^-26 J/photon) = 2.16 x 10^28 photons/s

b. The energy of a photon with a wavelength of 800 nm can be calculated using the formula E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength.

We can then calculate the number of photons arriving on Earth's surface per unit time per unit area as follows:

E = hc/λ = (6.626 x 10^-34 J s) x (3.00 x 10^8 m/s) / (800 x 10^-9 m) = 2.48 x 10^-19 J

The number of photons arriving per unit time per unit area (i.e., the photon flux) is given by the intensity I divided by the energy of a single photon:

I = 1 kW/m^2 = 1000 J/s/m^2

Photon flux = I/E = (1000 J/s/m^2) / (2.48 x 10^-19 J/photon) = 4.03 x 10^21 photons/s/m^2

The magnitude of the electric field in the sunlight can be found using the formula I = ε0cE^2/2, where ε0 is the permittivity of free space and c is the speed of light:

E = sqrt(2I/ε0c) = sqrt(2 x 1000 J/s/m^2 / (8.85 x 10^-12 F/m x 3.00 x 10^8 m/s)) = 3.22 x 10^-5 V/m

c. The maximum current that can be supplied per unit area by the solar cell device is equal to the photon flux multiplied by the charge of an electron (q) and the efficiency of the solar cell (η):

I = ηqPhoton flux = ηq(4.03 x 10^21 photons/s/m^2)

The charge of an electron is q = 1.602 x 10^-19 C, and the efficiency of a typical silicon solar cell is around 20%. Therefore:

I = 0.2 x (1.602 x 10^-19 C) x (4.03 x 10^21 photons/s/m^2) = 1.29 x 10^-6 A/m^2

So, the maximum current that can be supplied per unit area by the solar cell device is 1.29 microamperes per square meter.

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Once the nerve cell membrane is locked, pain causing chemicals cannot transmit their messages.

 The membrane is a thin, selective barrier which separates two distinct environments. It is the most fundamental structural and functional element of all living cells, regulating the passage of molecules into and out of the cell. Membranes are composed of a lipid bilayer and proteins. The lipid bilayer is made of phospholipids, which are amphipathic molecules, meaning they have both hydrophilic (water-attracting) and hydrophobic (water-repelling) regions. The membrane proteins embedded in the lipid bilayer provide the cell with selective permeability, allowing for the controlled passage of molecules into and out of the cell, and providing an effective barrier to the external environment. The proteins also provide receptors for signaling molecules, enzymes for metabolic reactions, and a scaffold for organizing the cell’s internal architecture.

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When the hand exerts an upward force of 14.9 N on the book, the book's acceleration is a = F/m = 14.9 N/1.17 kg = 12.7 m/s^2.

Acceleration is a measure of the rate of change of velocity of an object over time. It is a vector quantity and is measured in meters per second squared (m/s2). It is usually denoted by the symbol ‘a’. Acceleration can be positive, negative, or zero, depending on the direction of the change in velocity. Positive acceleration is an increase in velocity, negative acceleration is a decrease in velocity, and zero acceleration is no change in velocity.

The forces on the book when it is held stationary in the hand are the downward force of gravity (Fg = m*g = 1.17 kg * 9.8 N/kg = 11.5 N) and the upward force of the hand (Fh = 14.9 N). The reaction forces to these are the upward force of the hand (14.9 N) and the downward force of the book on the hand (11.5 N).

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Once t can be located, more details are required.You would need further information (namely, the amount of the rotational motion ) before you could discover a numerical value for t; knowing and 0 would not be sufficient to enable you to solve for t.

When every particle in a body revolves in a circle around a single line, this is known as pure rotational motion.The rotational axis is this line.Then, at the same time, the same deflection occurs in all of the radii vectors from of the shaft to all of the particles.

A spinning object's angular velocity is defined as a vector quantity in more sophisticated investigations of rotational motion.This vector has magnitude and points exteriorly along the axis of rotation for an object revolving anticlockwise about a fixed axis.

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A piece of a horizontal pipe with a diameter of 0.5052 m smoothly constricts from its diameter of 0.842 m. oil's viscosity as it flows through the pipe.

How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a stone of the harder, light element gold Au will be heavier than a slab of the heavy element lead Pb. Styrofoam blocks are less dense than bricks. Mass per given volume serves as its definition.

Petroleum was created from the remains of extinct marine animals like plants, algae, and bacteria, just like coal and natural gas.

Oil is a thick, smooth fluid that is utilized as fuel and to move machine parts.

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Answer:

thanks for 50 points

Explanation:

!am sorry

The height of the reproduction is 29 inches, which is the same as the height of the original painting with dimensions.

To find the height of the reproduction of Vincent Van Gogh's painting "The Starry Night," we can use the concept of proportional scaling. Since the reproduction has the same dimensions as the original painting, the ratio of the height and width of the reproduction must be the same as the ratio of the height and width of the original painting.

The ratio of height to width of the original painting can be calculated as:

29 / 36.25 = 0.8

Therefore, the ratio of height to width of the reproduction must also be 0.8. We can set up a proportion to solve for the height of the reproduction, which we'll call h:

h / 36.25 = 0.8

To solve for h, we can multiply both sides by 36.25:

h = 36.25 * 0.8

h = 29

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