3. Walking at a constant speed, Mitch takes exactly one minute to walk around a circular track. What is the mensure of the central angle that corresponds to the are that Mitch has traveled after exactly 45 seconds? A. 2π​ B. π C. 23π​ D. 47π​

Answers

Answer 1

Given that Mitch takes exactly one minute to walk around a circular track.

Hence, Mitch takes 60 seconds to cover the entire circular track.

Therefore, in 45 seconds, the fraction of the circular track covered by Mitch can be determined as shown below:

Fraction covered by Mitch = 45/60 = 3/4 of the track

The central angle corresponding to this fraction of the circular track is given by:

Central angle = (3/4) * 2π = (3/2)π radians

Hence, the of the central angle that corresponds to the area that Mitch has traveled after exactly 45 seconds is (3/2)π radians.

The option that represents this is option A) 2π. Hence, option A is the correct choice.

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Related Questions

This area has low water-flow velocities because flowing water forms a reservoir that can be used for hydroelectric power generation or recreation.
A
B
C
D

Answers

Water coming from a reservoir that can be utilized to generate hydroelectric power or for enjoyment is dammed, resulting in low water flow rates in the area.

Which of the following would be the best location for a wind farm?

The tops of smooth, rounded hills, broad plains, bodies of water, and mountain gaps that concentrate and increase wind are all desirable locations. At higher altitudes above the earth's surface, wind resources are typically more advantageous for the generation of electricity. In the form of charcoal and firewood, wood is frequently utilized as fuel. Due to its accessibility, it is frequently utilized in underdeveloped nations. Organic material that has partially decomposed and may be burned as fuel is called peat.

Fossil fuels, nuclear, biomass, geothermal, and solar thermal energy are used to generate the majority of the world's power using steam turbines. Other significant electricity-generating technologies include gas turbines, hydro turbines, wind turbines, and solar photovoltaics. Water in motion generates hydroelectric power. Hydro is a translation of the Greek word meaning water. For thousands of years, hydroelectric power has been used.

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tips for achieving good grades at science exam? i would be very thankful for you!!​

Answers

Make sure you study, and ask ur teacher for extra recourses

which statement regarding respiration is correct?
a)respiration in autotrophic organisms occurs only during the day
b)fungi and monerans carry out aerobic respiration only
c)all living organisms carry out some form of respiration
d)all autotrophs and heterotrophs require glucose and oxygen for respiration

Answers

Aerobic respiration occurs in the mitochondria's cytoplasm. Anaerobic respiration results in the production of two ATP molecules. Prokaryotes, which are human muscle cells, engage in anaerobic respiration. Thus, option C is correct.

What living organisms carry out some form of respiration?

All species' cells engage in cellular respiration. Utilizing oxygen, the cell converts the food (glucose) into carbon dioxide and water. The process of breaking down glucose while using oxygen is referred to as aerobic respiration.

Therefore, all living organisms carry out some form of respiration.

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If the half-life of a 2.0 gram sample of a radionuclide is 15 hours, then the half-life of a 1.0 gram sample of the same radionuclide would be

Answers

7.5 hours or 450 minutes. 15/2=7.5

For the 1.0 gram sample of the same radionuclide, the required half life will be of 7.5 hours.

Given data:

The amount of sample at initial is, a = 2.0 g.

The half-life for 2.0 g sample is,  \(t_{1/2}=15 \;\rm hr\).

In the given problem, it is a simple calculation but the concept of half life is used . The half life is defined as the a time interval required for one-half of nucleus of sample to undergo complete decay.  

In the given problem,

2.0 g of sample = 15 hours

1.0 g of sample = 15/2 hours

                         = 7.5 hours

Thus, we can conclude that for the 1.0 gram sample of the same radionuclide, the required half life will be of 7.5 hours.

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difine scalar quantity​

Answers

Scalar quantity are physical quantities that have just magnitude, not direction.

It is always positive.Examples: Speed, distance

If a 100 ω resistor is placed across a 0. 10 μf charged capacitor which is initially charged to 3 v. How long does it take it to discharge to 2v to 1v?

Answers

1. The time taken to discharge to 2 V is 2×10⁻⁹ s

2. The time taken to discharge to 1 V is 5×10⁻¹⁰ s

Energy stored in a capacitor

The energy stored in a capacitor is given by

E = ½CV²

But

E = Pt

Thus,

Pt = ½CV²

Where

E is the energy C is the capacitorV is the voltageP is the power t is the time

With the formula (Pt = ½CV²), we can determine the time in each case. Detail below:

1. How to determine the time required to discharge to 2 V

Data obtained from the question include:

Power (P) = 100 wCapacitor (C) = 0.10 μF = 1×10⁻⁷ FVoltage (V) = 2 VTime (t) = ?

Pt = ½CV²

100 × t = ½ × 1×10⁻⁷ × 2²

Divide both sides by 100

t = (½ × 1×10⁻⁷ × 2²) / 100

t = 2×10 s

Thus, the time required to discharge to 2 V is 2×10⁻⁹ s

2. How to determine the time required to discharge to 1 V

Data obtained from the question include:

Power (P) = 100 wCapacitor (C) = 0.10 μF = 1×10⁻⁷ FVoltage (V) = 1 VTime (t) = ?

Pt = ½CV²

100 × t = ½ × 1×10⁻⁷ × 1²

Divide both sides by 100

t = (½ × 1×10⁻⁷ × 1²) / 100

t = 5×10⁻¹⁰ s

Thus, the time required to discharge to 1 V is 5×10⁻¹⁰ s

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When Emma pushes a bag with a force of 27 newtons, the coefficient of kinetic friction between the bag and the floor is 0.23. What is the normal force acting on the bag by the floor? A. 0.085 newtons B. 27 newtons C. 2.7 × 102 newtons D. 1.2 × 102 newtons

Answers

Answer:

D. 1.2 × 102 newtons

Explanation:

The computation of the normal force acting on the bag is shown below:

It could find out by applying the following formula

Normal force =  Force ÷  coefficient of kinetic friction

where,

Force is 27 newtons

And, the  coefficient of kinetic friction is 0.23

Now placing these values to the above formula

So, the normal force is

= 27 newtons ÷ 0.23

= 117.39 N

Therefore the correct option is D.

Based on Planet Z's size, orbital distance, and rotation rate, which of the following properties is it likely to have?erosion due to liquid waterpolar ice capsa surface crowded with impact cratersseasonsactive volcanoesstrong winds and violent stormsan atmosphere produced by outgassingactive tectonics

Answers

The most probable property of the Planet Z based on its size, orbital distance and rotation rate is polar ice caps. It could also have strong winds and violent storms, and a surface crowded with impact craters.

Planet Z

Planet Z is a hypothetical planet that is similar in size to Earth, but it is located far from its star. This planet has a greater orbital distance than any other planet in the solar system. Due to this, it takes several years to complete one orbit around its star. Additionally, Planet Z has a slow rotation rate that takes several Earth days to complete. The temperature on Planet Z is very low, with an average temperature of -210°C (-346°F).

The various properties that can be associated with Planet Z based on its characteristics are:

Polar ice caps: Due to its very low temperature, Planet Z is likely to have polar ice caps. These polar ice caps could be made up of frozen water or other compounds.Strong winds and violent storms: With such a slow rotation rate, the planet's atmosphere could generate strong winds and violent storms. These storms could be caused by temperature differences between the day and night sides of the planet.Surface crowded with impact craters: Due to its greater orbital distance, the planet is likely to be bombarded by asteroids and other debris. This could cause the surface of the planet to be crowded with impact craters. Erosion due to liquid water is unlikely as the planet's temperature is too low for liquid water.Seasons: As the planet is very far from its star, it is unlikely to experience seasons.Active volcanoes and active tectonics are also unlikely as they require internal heat sources which Planet Z doesn't have.An atmosphere produced by outgassing: Due to the low temperature of Planet Z, it is unlikely to have an atmosphere produced by outgassing as there is no internal heat source.

Thus, polar ice caps are the most probable property of Planet Z based on its size, orbital distance, and rotation rate.

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how does Newton's third law of motion give a property of process​

Answers

Answer:

Newton's third law explains the generation of thrust by a rocket engine. In a rocket engine, hot exhaust gas is produced through the combustion of a fuel with an oxidizer. The hot exhaust gas flows through the rocket nozzle and is accelerated to the rear of the rocket. In re-action, a thrusting force is produced on the engine mount.

Explanation:

pa brainliest po :D

What claim can you make about the relationship between kinetic energy and potential energy?

Answers

Answer:

The connection between the two is that potential energy transforms into kinetic energy

Explanation:

We know that potential energy is the energy that is stored within an object while kinetic energy is the energy that is in motion.

How much heat in joules is required to heat a 47 g sample of aluminum from 80 ∘F to 149 ∘F? (The specific heat capacity of aluminum is 0.903 J/(g⋅∘C).)

Answers

Given,

Mass of the sample, m=47 g= 0.047 kg

The initial temperature, T₁=80 °F=299.8 K

The final temperature of the sample, T₂=149 °F=338.2 K

Therefore the total raise in the temperature,

\(\Delta T=T_2-T_1=338.2-299.8=38.4\text{ K}\)

The specific heat capacity of the aluminum, c=0.903 J/(g · °C)= 903 J/(kg · K)

The heat required to raise the temperature of a sample by a temperature of ΔT is given by,

\(Q=mc\Delta T\)

On substituting the known values in the above equation,

\(Q=0.047\times903\times38.4=1629.7\text{ J}\)

Therefore the heat required to raise the temperature of the sample from 80 °F to 149 °F is 1629.7 J

In a double slit interference experiment, the centers of the slits are a distance d apart. What should be the width D of each slit for the first minima of diffraction to coincide with the fourth maxima of interference?

[A] D=d/8
[B] D=d/4
[C] D=d/2
[D] D=d
[E] D=4 d

Answers

The width of each slit (D) should be D = d / 4. for the first minima of diffraction to coincide with the fourth maxima of interference. Option B is correct.

In a double-slit interference experiment, the interference pattern is created by the superposition of waves from two slits. The condition for constructive interference at a particular angle is given by the equation:

dsinθ = mλ,

where d is the distance between the centers of the slits, θ is the angle of observation, m is the order of the interference maximum, and λ is the wavelength of the light.

For the first minima of diffraction to coincide with the fourth maxima of interference, we have m = 4.

At the first minima of diffraction, sinθ = λ / D, where D is the width of each slit.

At the fourth maxima of interference, dsinθ = 4λ.

Equating these two expressions, we have:

d * (λ / D) = 4λ.

Simplifying the equation, we get:

D = d / 4.

The width of each slit (D) should be equal to one-fourth (1/4) of the distance between the centers of the slits (d). Option B is correct.

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Where on this diagram does the ball have the highest point of gravitational potential energy?

Where on this diagram does the ball have the highest point of gravitational potential energy?

Answers

it should be at the very top since it has more space to fall which gives it more potential energy

how would the strength of the force between the moon and earth change if the mass of the moon were somehow made two times greater than its actual mass? be specific, how many times larger or smaller would it be. explain your reasoning.

Answers

The force between the Moon and the Earth is calculated using the formula \(F = G(m_1*m_2)/r^2\), where F is the force between the two objects, G is the universal gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and r is the distance between the two objects. Therefore, if the mass of the Moon is somehow made two times greater than its actual mass, the force between the Moon and the Earth would also increase.

To calculate the exact increase in force, we can use the same formula and compare the force before and after the increase in mass. Let's assume that the mass of the Moon is m before the increase and 2m after the increase. We can then use the formula to calculate the force before and after the increase, as follows:
- Before: \(F_1 = G\frac{mM}{r^2}\)
- After: \(F_2 = G\frac{2mM}{r^2}\)

To compare the two forces, we can divide \(F_2\) by \(F_1\):
\(\frac{F_2}{F_1} = [G\frac{2mM}{r^2} ]/[G\frac{mM}{r^2} ]\)
\(\frac{F_2}{F_1} =2\)

Therefore, the force between the Moon and the Earth would become two times greater if the mass of the Moon were somehow made two times greater than its actual mass. This is because the force of gravity is directly proportional to the masses of the objects involved.

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A box is placed on a 30o frictionless incline. What is the acceleration of the box as it slides down the incline

Answers

Answer:

2.78m/s²

Explanation:

Complete question:

A box is placed on a 30° frictionless incline. What is the acceleration of the box as it slides down the incline when the co-efficient of friction is 0.25?

According to Newton's second law of motion:

\(\sum F_x = ma_x\\F_m - F_f = ma_x\\mgsin\theta - \mu mg cos\theta = ma_x\\gsin\theta - \mu g cos\theta = a_x\\\)

Where:

\(\mu\) is the coefficient of friction

g is the acceleration due to gravity

Fm is the moving force acting on the body

Ff is the frictional force

m is the mass of the box

a is the acceleration'

Given

\(\theta = 30^0\\\mu = 0.25\\g = 9.8m/s^2\)

Required

acceleration of the box

Substitute the given parameters into the resulting expression above:

Recall that:

\(gsin\theta - \mu g cos\theta = a_x\\\)

9.8sin30 - 0.25(9.8)cos30 = ax

9.8(0.5) - 0.25(9.8)(0.866) = ax

4.9 - 2.1217 = ax

ax = 2.78m/s²

Hence the acceleration of the box as it slides down the incline is 2.78m/s²

1. Biodiversity refers to the variety of life in an ecosystem.

False
True​

Answers

True
———————————- bbbnnn

Determine the total displacement of a dog that runs 15 m north, 6 m south, then 8 m north.​

Answers

Answer:

the displacement Is 17m north

Explanation:

15-6=9

9+8=17

The total displacement of a dog that runs 15 meters north, 6 meters south, then 8 meters north would be 17 meters because displacement is measured by the shortest distance between the initial and final position of the moving object.

What is displacement?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement describes this shift in location.

Displacement is a vector quantity.

Since the displacement is determined by the smallest distance between the moving object's original and final positions, a dog traveling 15 meters north, 6 meters south, then 8 meters north would move a total of 17 meters.

Thus, the total displacement of the dog comes out to be  17 meters.

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if you are riding on a train that speed past another train moving in a same direction on an adjacent track ti appears that the other train is moving backward why?

Answers

Answer:

If you are traveling with a relativity constant velocity, then you will interpret your reference frame as being at rest. Since you are moving faster than the other train, the other train is moving backwards relative to you. Seeing the other train go past your window from front to rear makes it look like the train is going backwards

Explanation:

determine the pressure drop per 100-m length of horizontal new 0.35-m-diameter cast iron water pipe when the average velocity is 2.9 m/s.

Answers

When the average velocity is 2.4 m/s, the horizontal 0.35 meter diameter cast iron water pipe experiences a pressure drop (P) of roughly 16457.14 kPa every 100 meters.

To determine the pressure drop per 100-meter length of a horizontal 0.35-meter diameter cast iron water pipe, we can use the Darcy-Weisbach equation. The equation is as follows:

\(\begin{equation}\Delta P = \frac{f \cdot \frac{L}{D} \cdot (\rho \cdot V^2)}{2}\)

where ΔP is the pressure drop, f is the Darcy friction factor, L is the length of the pipe (100 meters in this case), D is the diameter of the pipe (0.35 meters), ρ is the density of water, and V is the average velocity of water.

To calculate the pressure drop, we need to determine the Darcy friction factor. For a rough cast iron pipe, we can estimate the friction factor to be around 0.02.

Using the given values and the estimated friction factor, the calculation becomes:

\(\begin{equation}\Delta P = \frac{0.02 \cdot \frac{100}{0.35} \cdot (\rho \cdot 2.4^2)}{2}\)

Since the density of water (ρ) is approximately 1000 kg/m³, we can substitute this value and calculate the pressure drop:

ΔP = \(\frac{0.02 \times \frac{100}{0.35} \times 1000 \times 2.4^2}{2}\)

Let's solve the expression to calculate the pressure drop (ΔP) in kilopascals (kPa):

ΔP =  \(\frac{0.02 \times \frac{100}{0.35} \times 1000 \times 2.4^2}{2}\)

First, let's simplify the expression:

ΔP = \(\frac{0.02 \times (285.714) \times (1000 \times 5.76)}{2}\)

   = 16457.14

Therefore, the pressure drop (ΔP) per 100-meter length of the horizontal 0.35-meter diameter cast iron water pipe, when the average velocity is 2.4 m/s, is approximately 16457.14 kPa.

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Complete question :

Determine the pressure drop per 100 -m length of horizontal new 0.35−m-diameter cast iron water pipe when the average velocity 2.4 m/s. Δp= kPa

A conveyer belt carries a load of mass 180kg n lift it up in 1​

Answers

Answer:

Cool.

Explanation:

What's the question..? :|

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What is the trade off between the input and output forces when someone uses a screw?

Answers

It is the ratio of the output force to the input force. ... The trade-off is that more turns of the screw are needed to do the job because the distance over which the input force must be applied is greater.

Set sampling period Ts=1/1000 (sec), and time axis 0 ~ 5 (sec).
Generate signals: x1(t)=10cos(ω1t); x2(t)=6sin(ω2t); x3(t)=cos(ω3t)+ 10sin(ω3t);
where ω1=50 Hz; ω2=95 Hz; ω3=120 Hz;
plot x1(t) within the maximum amplitude and time of 0~0.5 second,

Let y1(t)= x1(t)+ x2(t)+ x3(t), plot y1(t) within the maximum amplitude and time of 0~0.5 second.
ndicate the labels in x-axis and y-axis

Answers

The x-axis should be labeled with the time values in seconds from 0 to 0.5, and the y-axis should be labeled with the values of x1(t) ranging from -10 to 10, considering the maximum amplitude of the signal.

To plot the signal x1(t) within the time range of 0 to 0.5 seconds, we need to determine the corresponding values of x1(t) for that time range.

Given that x1(t) = 10cos(ω1t) with ω1 = 50 Hz, we can calculate the values of x1(t) using the formula.

For the time range of 0 to 0.5 seconds:
- At t = 0 seconds, x1(t) = 10cos(ω1 * 0) = 10cos(0) = 10 * 1 = 10.
- At t = 0.5 seconds, x1(t) = 10cos(ω1 * 0.5) = 10cos(25π) ≈ -7.071.

Plotting these values on the y-axis against the corresponding time values on the x-axis will give us the graph of x1(t) within the time range of 0 to 0.5 seconds.

The x-axis should be labeled with the time values in seconds from 0 to 0.5, and the y-axis should be labeled with the values of x1(t) ranging from -10 to 10, considering the maximum amplitude of the signal.

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one can reverse the north and south poles of an electromagnet by reversing the direction of current flow through it. true or false

Answers

True. An electromagnet is created by passing a current through a wire wrapped around a magnetic core, such as iron. When the current flows through the wire, it creates a magnetic field in the core that magnetizes it.

The direction of the magnetic field is determined by the direction of the current flow in the wire. By reversing the direction of the current flow through the wire, the direction of the magnetic field can also be reversed, which results in reversing the north and south poles of the electromagnet.

This property of electromagnets has numerous practical applications, such as in electric motors, loudspeakers, and MRI machines. By controlling the direction and strength of the magnetic field, electromagnets can perform a variety of functions, from generating motion to producing magnetic resonance images of the human body.

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What is the net force on a 116 kg woman free falling at 97 m/s who has reached terminal velocity.

Answers

It’s 545722 J , i think

A jet takes off from an aircraft carrier starting from rest and travels 93 m [fwd] in 1.2 s when being pushed by the catapult. What is its final velocity at takeoff?

Answers

The final velocity of the Jet from the takeoff is 15.5 m/s.

Final velocity of the Jet

The final velocity of the jet is determine by applying second kinematic equation, using the principle of average velocity as shown below.

s = (u + v)t/2

where;

s is the distance traveled by the Jetu is the initial velocity of the jetv is the final velocity of the jett is the time of motion

s = (0 + v)t/2

2s = vt

v = 2s/t

v = (2 x 9.3) /1.2

v = 15.5 m/s

Thus, the final velocity of the Jet from the takeoff is 15.5 m/s.

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The velocity in metres per second v of a car at time t seconds after the brakes are applied is given by: v = 15e-¹ m/s Predict the distance the vehicle will travel in the first two seconds of braking.

Answers

In the first two seconds of braking, the vehicle will travel approximately 20.85 meters..

How can we predict the distance traveled by the vehicle during the first two seconds of braking?

The distance traveled by a vehicle during the first two seconds of braking can be predicted by integrating the velocity equation. In this case, the velocity of the car at time t seconds after the brakes are applied is given by v = \(15e^(^-^t)\) m/s.

To calculate the distance traveled, we need to integrate the velocity function over the time interval from 0 to 2 seconds.

Integrating the equation v = 15\(e^(^-^t)\)with respect to time from 0 to 2 seconds gives us:

Distance = ∫[0 to 2]( \(15e^(^-^t^)\)) dt

Evaluating the integral, we find:

Distance = \([-15e^(^-^t^)]\)from 0 to 2

Distance = \(-15e^(^-^2^) - (-15e^(^-^0^))\)

Distance = \(-15e^(^-^2^)\)+ 15

Therefore, the predicted distance the vehicle will travel in the first two seconds of braking is approximately\(-15e^(^-^2^)\)+ 15 meters.

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A car is driven for 1.00 h with a velocity of 100 km/h towards the south, then for 0.50 h with a velocity of 50 km/h towards the north, and finally for 0.75 h with a velocity of 80 km/h towards the south. Find the car’s average velocity.

Answers

Answer:

Average velocity = 82.22 km/h

Explanation:

Average Velocity = (Total distance)/(Total time)

When the car was first driven for 1 h with a velocity of 100 km/h towards the south

Velocity = Distance/time

Distance = Velocity * time

Distance covered, D1 = 100 * 1 = 100 km

When the car was driven for 0.50 h with a velocity of 50 km/h towards the north

Distance = Velocity * time

Distance covered, D2 = 50 * 0.5 = 25 km

When the car was driven for 0.75 h with a velocity of 80 km/h towards the south

Distance = Velocity * time

Distance covered, D3 = 80 * 0.75 = 60 km

Total distance traveled = D1 + D2 + D3

Total distance traveled = 100 + 25 + 60

Total distance traveled = 185 km

Total time taken = 1 + 0.5 + 0.75

Total time taken = 2.25 h

Average velocity = Total distance/ total time

Average velocity = 185/2.25

Average velocity = 82.22 km/h

When you eat food _ regulate the chemical reactions within your body that turn food into nutrients

Answers

Answer:

Enzymes

Explanation:

Enzymes are biological catalysts, which regulate various chemical reactions in the body.

The biochemical reactions involved in the digestion of food are regulated by enzymes. These biochemical reaction converts food into nutrients that are useful to the body.

For instance, the enzyme amylase catalyses the hydrolysis of starch into sugars.

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PAGE NO.:
DATE:
cap a b
body have larger mess be holter than another of smaller
maws if they are same temperature why,
at the​

Answers

Answer:

umm im confused

Explanation:

Answer:

larger mass more the molecule more heat absorbed

and vice versa .Thats the reason ok?

Rising and falling like a gentle waltz, the dandelion seeds _______.

Which phrase is most appropriate for the diction and style of the sentence?

A.
dropped heavily onto the wet ground
B.
fell and scattered across the lawn
C.
danced lightly on the cool breeze
D.
blew like a hurricane across the yard

Answers

B

Explanation:

yeah but I don't know what

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