A 4 kg bowling ball is drop from rest at a height of 1 m. There is an unstretched spring below. Once the bowling
ball touches the spring, the bowling ball slows down as it compresses the spring. The spring constant is 490 N/m.
Find the velocity of the ball at position D (when the spring has compressed 0.2 m)

Considering the elliptical orbit of a comet around the sun , the closer is the comet , the faster it will move .

Comets are thought to orbit the sun in either the Oort cloud or Kuiper belt. When another star passes by the solar system, its gravity pushes the Oort cloud and/or Kuiper belt and causes comets to descend toward the sun in a highly elliptical orbit with the sun at one focus of the ellipse. The closer is the comet , the faster it will move

It is been observed that comets motion is mostly get affected by sun's gravity. As  a comet gets closer to the sun it moves faster and faster and as comet gets away from the sun , its speed get decreased. So, the comet should be as closer at it can be to the sun in order to move fastest

Here , it can be observed that comet's speed is inversely proportional to its distance from the sun.

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The types of scales of measurement are important in statistics since they help to decide what statistical measures can be applied to the data. The nominal scale is the least precise scale, while the ratio scale is the most precise scale.

The scales of measurement of variables are defined as the various ways a variable can be measured or described. Below are the answers to the given question: - Eye color (blue, brown, hazel, green) - Nominal scale.- Grade on a test (A, B, C, D, F) - Ordinal scale. - Score on a Likert-type scale (1, 2, 3, 4, 5, 6, 7) - Interval scale. - A person's age measured in years - Ratio scale. - Age classification (infant, child, teen, young adult, adult, older adult) - Ordinal scale.
- Number of correct answers on a test - Ratio scale. - Nominal scale - A scale that describes variables that have distinct categories or names that are used to identify them. - Ordinal scale - A scale that describes variables that have categories that can be ranked in order of importance or magnitude. - Interval scale - A scale that describes variables with continuous and evenly spaced values that have an arbitrary zero point. - Ratio scale - A scale that describes variables with continuous and evenly spaced values that have a meaningful zero point.

The types of scales of measurement are important in statistics since they help to decide what statistical measures can be applied to the data. The nominal scale is the least precise scale, while the ratio scale is the most precise scale.

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The required velocity of mass 100 kg is 3.75 m/s.

The required velocity of mass 100 kg is determined by applying the principle of conservation of linear momentum as follows;

This principle states that in an isolated or closed system, the sum of the initial momentum of an object is equal to the sum of the final momentum.

momentum of the 100 kg mass = momentum of 150 kg mass

100 kg x v = 150 kg x 2.5 m/s

v = ( 375 kg m/s ) / ( 100 kg )

v = 3.75 m/s

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The complete question is below:

A mass of 150 kg is moving 2.5 m/s. How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?​

The amount of substance affects the total energy through the concept of molar heat capacity. Molar heat capacity is defined as the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius. Therefore, the more substance there is, the more heat energy is required to raise its temperature.

For example, if we have one mole of a substance, it will require a certain amount of energy to raise its temperature by one degree Celsius. However, if we have two moles of the same substance, it will require twice as much energy to raise the temperature of the larger amount by the same one degree Celsius.

Additionally, the amount of substance can affect the total energy through the concept of specific heat capacity. Specific heat capacity is defined as the amount of heat required to raise the temperature of one unit of mass (usually one gram) of a substance by one degree Celsius. Therefore, if we have more mass of a substance, it will require more energy to raise the temperature of the larger amount by the same one degree Celsius.

In summary, the amount of substance affects the total energy through the concepts of molar heat capacity and specific heat capacity, which determine how much energy is required to raise the temperature of a given amount of substance.

The center of mass will be shifted slightly towards the heavier pieces, as they have more mass and therefore exert a stronger gravitational pull on the center of mass. The exact position of the center of mass will depend on the specific masses and positions of the pieces.

The explosion of the bomb results in the separation of the bomb into three pieces of mass 15 kg, 25 kg, and 35 kg, respectively. The center of mass of the system of these three pieces will still exist after the explosion, and its location will depend on the relative masses and positions of the three pieces.

Assuming that the explosion occurs in a way that the pieces are propelled away from the original location of the bomb with equal and opposite momentum, we can use the following equation to calculate the position of the center of mass:

Center of mass = (m1 x r1 + m2 x r2 + m3 x r3) / (m1 + m2 + m3)

Where m1, m2, and m3 are the masses of the three pieces, and r1, r2, and r3 are their positions relative to some chosen origin.

Since the pieces are propelled in equal and opposite directions, the net momentum of the system is zero. Therefore, the center of mass will remain in the same position as it was before the explosion.

However, the center of mass will be shifted slightly towards the heavier pieces, as they have more mass and therefore exert a stronger gravitational pull on the center of mass. The exact position of the center of mass will depend on the specific masses and positions of the pieces.

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Units 1 ("rad/s"), 2 ("rev/s^2"), and 4 ("degrees/s^2") are appropriate for describing rotational acceleration. However, unit 3 ("rev/m^2") is not suitable as it combines angular displacement with area and does not represent rotational acceleration.

Out of the four listed units, the third unit, "rev/m^2," would not be appropriate for describing rotational acceleration.

1) "rad/s" (radians per second) is an appropriate unit of rotational acceleration. Radians are a standard unit for measuring angles, and when divided by time, it represents the rate of change of angular velocity or rotational acceleration.

2) "rev/s^2" (revolutions per second squared) is also an appropriate unit of rotational acceleration. It represents the rate of change of angular velocity in terms of revolutions per second squared.

4) "degrees/s^2" (degrees per second squared) is another valid unit of rotational acceleration. Although radians are generally preferred over degrees in scientific calculations, degrees can still be used to express rotational acceleration.

However, the third unit, "rev/m^2" (revolutions per square meter), is not appropriate for describing rotational acceleration. It does not represent a rate of change of angular velocity or rotational acceleration. Instead, it combines a unit of angular displacement (revolutions) with a unit of area (square meter), which is unrelated to rotational acceleration.

In summary, the first three units ("rad/s," "rev/s^2," and "degrees/s^2") are appropriate for describing rotational acceleration, while the fourth unit ("rev/m^2") is not.

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Answer:

it would move faster

Explanation:

If the roller coaster car in the above problem were moving at twice the speed, then 16000 Joules is the new kinetic energy.

Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, being done on it by exerting a net force.

A object in motion or particle has kinetic energy, which relies on both its mass and its rate of motion. Any combination of movements, including translation, rotation along an axis, and vibration, may constitute the kind of motion.

kinetic energy= ½mv²

v =4m/s

m= 2000kg

KE = ½ (2000) (4)²

    =16000 Joules

Therefore, If the roller coaster car in the above problem were moving at twice the speed, then 16000 Joules is the new kinetic energy.

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(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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Sound travels at approximately 343 meters (or 1,125 feet) per second in dry air at room temperature.

To determine how far away lightning is when thunder sounds 10 seconds after the lightning flash, we can use the speed of sound.

Distance = Speed × Time

Distance = 343 m/s × 10 s

Distance = 3,430 meters

Therefore, if thunder sounds 10 seconds after the lightning flash, the lightning is approximately 3,430 meters (or 3.43 kilometers) away.

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A rejected hypothesis results may result very useful in a given area because it helps to discard possible causes and search for new ones.

Negative results are also important in research because they help to discard possible causes for a given phenomenon, which allows to discover the relationships between the variables under study.

In conclusion, the way in which a rejected hypothesis may be useful for a given area (as in this case the relationship between burning coal, altitude, and pollution) is the fact that we can discard possible causes and search for new ones.

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Red sunsets are due to light of lower frequencies that are more capable of making their way through the Earth’s atmosphere. Sunsets take on different colors and shades because of the way that sunlight interacts with the Earth's atmosphere.

When the sunlight passes through the atmosphere, molecules and small particles in the air scatter different colors of light. This leads to colorful skies at sunrise and sunset. When the sun is low on the horizon, the sunlight must pass through more of the Earth’s atmosphere before reaching the observer's eye.

At sunrise or sunset, the light that reaches the observer's eye has a longer path through the atmosphere than light at noon. The Earth's atmosphere scatters blue light more efficiently than it scatters the lower-frequency colors. This scattering effect sends more blue light away from the viewer's line of sight. This makes the sky look blue. When sunlight passes through the atmosphere, molecules and small particles in the air scatter different colors of light.

When the sun is low on the horizon, the sunlight must pass through more of the Earth’s atmosphere before reaching the observer's eye. At sunrise or sunset, the light that reaches the observer's eye has a longer path through the atmosphere than light at noon. The Earth's atmosphere scatters blue light more efficiently than it scatters the lower-frequency colors. This scattering effect sends more blue light away from the viewer's line of sight, making the sky look blue

In conclusion, Red sunsets are due to light of lower frequencies that are more capable of making their way through the Earth’s atmosphere. Sunsets take on different colors and shades because of the way that sunlight interacts with the Earth's atmosphere.

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The pasta and pot can be referred to as a Solid while the water is a liquid

when their physical forms are compared.

The pot is usually a metal because of its high heat conductivity and the

pasta is usually made from organic materials such as wheat, starch etc.

The water on the other hand should be colorless and odorless to avoid

ingesting pathogens.

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Answer: i do not beleave so

Explanation: The diaphragm helps expand your lungs when you breath and you have to puposly use it in order to sing/ yell so it has no reason to move without breathing.

(a) The tension in the nearer cable is 941 N, and (b) the tension in the farther cable is 1373 N.

We need to find the tension in both the nearer and farther cables supporting the scaffold with a window washer on it.

a) To find the tension in the nearer cable, we must first calculate the total torque acting on the system, keeping in mind that the torque must be zero for the system to be in equilibrium. The torque contributions are:

1. The torque due to the window washer's weight (80 kg * 9.81 m/s²) acting at a distance of 1.5 m from the nearer cable.

2. The torque due to the scaffold's weight (60 kg * 9.81 m/s²) acting at the midpoint of the scaffold, which is 2.5 m from each cable.

Now, we can set up the torque equation:

T_near * 5.0 m = (80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)

Solve for T_near:

T_near = ((80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)) / 5.0 m
T_near ≈ 941 N

b) To find the tension in the farther cable, we can use the fact that the sum of the tensions in both cables must equal the total weight of the system (scaffold + window washer):

T_far + T_near = (80 kg + 60 kg) * 9.81 m/s²

Solve for T_far:

T_far = (140 kg * 9.81 m/s²) - T_near
T_far ≈ 1373 N

Therefore,  the tension in the nearer cable (a) is approximately 941 N, and the tension in the farther cable (b) is approximately 1373 N.

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Answer:

Answer: The thermal speed of hydrogen molecules at 800K is 3.16 kM/sec .

Explanation:

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Answer:

Explanation:

Gimen:

M  (H₂) =  0.002 kg/mol

T = 800 K

_____________

V - ?

Root mean square speed:

\(V = \sqrt{\frac{3RT}{M} } =\sqrt{\frac{3*831*800}{0.002} } =3160 m/s\)

Answer: In a battery, voltage determines how strongly electrons are pushed through a circuit, much like pressure determines how strongly water is pushed through a hose. Most AAA, AA, C, and D batteries are around 1.5 volts. Imagine the batteries shown in the diagram are rated at 1.5 volts and 500 milliamp-hours.

Explanation: Today "AA" is frequently used as a size designation, irrespective of the battery's electrochemical system. The main numbers used for the most common NiMH and NiCad battery

To produce a voltage of 1.5 V with a Voltaic pile, we would need either two zinc pennies and one copper nickel or one zinc penny and three copper nickels.

A Voltaic pile is an early type of battery that consists of alternating discs of two different metals (such as copper and zinc) separated by cardboard soaked in an electrolyte solution. Each pair of metal discs and cardboard makes up one cell of the battery, and the voltage of the battery depends on the number of cells connected in series.

To calculate how many pennies and nickels would be needed to produce a voltage of 1.5 V, we need to consider the voltage generated by each cell and the number of cells required to achieve a total voltage of 1.5 V.

One zinc penny produces approximately 1.1 volts, and one copper nickel produces approximately 0.5 volts. To get a total voltage of 1.5 V, we could arrange one zinc penny and one copper nickel in series, but this combination would produce a voltage of only 1.6 V (1.1 V + 0.5 V).

To get as close to 1.5 V as possible, we could use two zinc pennies and one copper nickel in series, which would produce a voltage of 1.7 V (1.1 V + 0.6 V).

Alternatively, we could use one zinc penny and three copper nickels in series, which would also produce a voltage of 1.5 V (1.1 V + 0.4 V + 0.5 V + 0.5 V).

Therefore, To produce a voltage of 1.5 V with a Voltaic pile, we need either two zinc pennies and one copper nickel or one zinc penny and three copper nickels.

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A hydraulic press may be utilized to tear down and reassemble the transmission for service.

A hydraulic press is a powerful tool that uses hydraulic pressure to apply force to an object. It can be used to press bearings and other components out of the transmission housing, as well as to press them back in during reassembly. A hydraulic press may be utilized to tear down and reassemble the transmission for service.

Dial indicators, bearing splitters, and snap ring pliers are also common tools used in transmission service, but they are typically used for specific tasks such as measuring clearances, removing bearings, or removing snap rings.

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Answer:

2)Innate, or nonspecific, immunity is the defense system with which you were born. It protects you against all antigens. Innate immunity involves barriers that keep harmful materials from entering your body. These barriers form the first line of defense in the immune response.

3)The first line of defence (or outside defence system) includes physical and chemical barriers that are always ready and prepared to defend the body from infection. These include your skin, tears, mucus, cilia, stomach acid, urine flow, 'friendly' bacteria and white blood cells called neutrophils.

4)The second line of defense is nonspecific resistance that destroys invaders in a generalized way without targeting specific individuals: Phagocytic cells ingest and destroy all microbes that pass into body tissues. For example macrophages are cells derived from monocytes (a type of white blood cell).

5)The adaptive defense consists of antibodies and lymphocytes, often called the humoral response and the cell mediated response. The term 'adaptive' refers to the differentiation of self from non-self, and the tailoring of the response to the particular foreign invader.

6)Innate immunity is comprised of different components including physical barriers (tight junctions in the skin, epithelial and mucous membrane surfaces, mucus itself); anatomical barriers; epithelial and phagocytic cell enzymes (i.e., lysozyme), phagocytes (i.e., neutrophils, monocytes, macrophages), inflammation- .

8)Types of phagocytes

In humans, and in vertebrates generally, the most-effective phagocytic cells are two kinds of white blood cells: the macrophages (large phagocytic cells) and the neutrophils (a type of granulocyte)

Answer:c

Explanation:ganglandd

The two parts of 'measurements' are precision and accuracy. The maximum weight that can be accurately measured in a top-loading electronic balance in your lab depends on the specifications and capacity of the balance.

To determine the maximum weight, you need to consult the user manual or specifications provided by the manufacturer. Similarly, the minimum weight that can be accurately measured depends on the balance's sensitivity and resolution. Again, you should refer to the specifications or user manual to determine the minimum weight that can be accurately measured by your specific balance.

Electronic balances have different weight capacities and sensitivities, so it is crucial to consult the manufacturer's specifications. For example, a top-loading electronic balance might have a maximum weight capacity of 300 grams with a readability of 0.01 grams. This means that the balance can accurately measure weights up to 300 grams with a precision of 0.01 grams. The minimum weight that can be accurately measured might be specified as the balance's minimum sample weight, which could be, for instance, 0.1 grams. It is important to adhere to these specifications to ensure accurate and reliable measurements.

To determine the specific maximum and minimum weights for your top-loading electronic balance, please refer to the manufacturer's specifications or user manual.

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Answer:

E×ED=L×LD

500×4=2000×LD

LD=1 M ANS

If a student rings a brass bell with a frequency of 100 Hz. The sound wave travels through brass, air, and glass, then the wavelength of the wave in brass would be 47 meters, therefore the correct answer is option D.

It is a type of mechanical wave composed of the disturbance caused by the movements of the energy. A sound wave travels through compression and rarefaction in an elastic medium such as air.

As given in the problem if a student rings a brass bell with a frequency of 100 Hz. The sound wave travels through brass, air, and glass, then we have to find out what is the wavelength of the wave,

The wave velocity = Frequency of the wave ×wavelength

4700 = 100 × wavelength

Wavelength = 4700 / 100

                    =47 meters

Thus, the wavelength of the wave would be 47 meters .

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Planet Gu, located approximately 2 AU from its host star, completes one orbit in approximately 4.43 Earth years.

The time taken by a planet to complete one orbit, known as its orbital period, can be determined using Kepler's third law of planetary motion. This law states that the square of a planet's orbital period is proportional to the cube of its average distance from the host star. In this case, Planet Gu is located approximately 2 AU from its host star.

To calculate the orbital period, we can use the equation:

\(T^2 = (4\pi ^2/GM) * r^3\)

where T represents the orbital period, G is the gravitational constant, M is the mass of the host star, and r is the average distance between the planet and the star.

Since the planet is moving along its orbit at a constant speed, we can assume that it has a roughly circular orbit. Therefore, the average distance between the planet and the star is equal to its distance of 2 AU.

Plugging in the values and solving for T, we find:

\(T^2 = (4\pi ^2/GM) * (2 AU)^3\)

Using the appropriate values for G, M, and converting AU to kilometers, we can calculate the orbital period T. The result is approximately 4.43 Earth years.

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Answer:

They are gaining energy, can move and slide past each other.

Explanation:

Because as ice melts, the molocules gain energy/heat which warm them up and are able to slide/move apart from each other.

Red light is most effective in photosynthesis.

The most effective and efficient light is in the red region (600-700 nm), followed by the blue (400-500 nm) and then the green (500-600 nm). These blue, green, and red wavelengths (400-700 nm), are all recognized as photosynthetically active and are used by plants.

Other lights namely blue and violet the photosynthesis takes place but the rate is slow, whereas in green light the photosynthesis is least because plants do not absorb this range of light reflect back thus, they appear green.

Chlorophyll absorb light used in photosynthesis. In this process the sun's energy is converted to chemical energy by the photosynthetic organisms. Absorption spectrum of chlorophyll includes wavelengths of blue and orange-red light, as is indicated by their peaks around 450-475 nm and around 650-675 nm.

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The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force applied on the item determines the object's acceleration.

A train starts from rest and accelerate uniformly until it attains a velocity of 8m/s in 10 seconds. calculate the acceleration of the train​.

a = 8/10

a = 0.8m/s2

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included.

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The Passive transducers are those that cannot produce electrical quantities like voltage or current.

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The horizontal component of the velocity is equal to: D. 15 m/s.

Given the following data:

To determine the horizontal component of the velocity:

The horizontal component of the velocity represents the influence of velocity  in displacing an object or projectile in the horizontal direction.

Mathematically, the horizontal component of velocity is given by the formula:

\(V_x = Vcos(\theta)\)

Substituting the given parameters into the formula, we have;

\(\\\\V_x = 30cos(60)\\\\V_x = 30 \times 0.5\)

Horizontal component, Vx = 15 m/s

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Answer:54cm²

Explanation:Area of first rectangle=L×B=6×5=30cm²

Area of second rectangle=L×B=8×3=24cm²

Areas are added to 54cm²