1.7×10^2 m
The student was 1.7×10^2 m far from the speaker.
Is sound slower to travel in water?The distance that sound waves travel is mostly influenced by the temperature and pressure of the ocean, even though sound travels through water at a far faster rate than it does through air.
What sounds like a sound with a high amplitude?The change in pressure that a sound wave causes when it is measured at a particular location is related to the amplitude of the wave. If the amplitude grows, the sound is heard as louder, and if it drops, it is heard as quieter.
Does greater amplitude equate to greater speed?The pace at which a wave moves has nothing to do with its amplitude. Waves A and B move forward at the same speed. Only changes in the characteristics of the medium a wave travels through can change its speed.
To know more about sound wave visit:
https://brainly.com/question/1749964
#SPJ4
To calculate the distance between the loudspeaker and the student, we can use the speed of sound in air, which is approximately 340 meters per second (m/s) at standard temperature and pressure (STP).
How is this calculated?The formula to calculate distance is:
distance = speed x time
where distance is the distance between the loudspeaker and the student, speed is the speed of sound in air, and time is the delay that was observed between the time the sound wave left the loudspeaker and the time it reached the student.
distance = 340 m/s x 0.50 s
distance = 170 m
So, the distance between the loudspeaker and the student is 170 meters.
This answer corresponds to (2) 91.7 x 102m.
It's worth mentioning that sound speed can be affected by temperature, humidity, and atmospheric pressure which can cause slight variations from the standard 340 m/s at STP.
To know more about sound wave visit:
brainly.com/question/1749964
#SPJ4
Question 1 (4 points)
What are some things that can lead to depression, according to Ellie?:
Explanation:
Ellie, the machine that can detect depression
Technology is an important channel to treat mental illness,
Abuse. Physical or emotional abuse can make you more vulnerable to depression later in life.
Age. People who are elderly are at higher risk of depression. That can be made worse by other factors, such as living alone and having a lack of social support.
Certain medications. Some drugs, such as isotretinoin (used to treat acne), the antiviral drug interferon-alpha, and corticosteroids, can increase your risk of depression.
Conflict. Depression in someone who has the biological vulnerability to it may result from personal conflicts or disputes with family members or friends.
Death or a loss. Sadness or grief after the death or loss of a loved one, though natural, can increase the risk of depression.
Gender. Women are about twice as likely as men to become depressed. No one's sure why. The hormonal changes that women go through at different times of their lives may play a role.
Genes. A family history of depression may increase the risk. It's thought that depression is a complex trait, meaning there are probably many different genes that each exert small effects, rather than a single gene that contributes to disease risk. The genetics of depression, like most psychiatric disorders, are not as simple or straightforward as in purely genetic diseases such as Huntington's chorea or cystic fibrosis.
Major events. Even good events such as starting a new job, graduating, or getting married can lead to depression. So can moving, losing a job or income, getting divorced, or retiring. However, the syndrome of clinical depression is never just a "normal" response to stressful life events.
Other personal problems. Problems such as social isolation due to other mental illnesses or being cast out of a family or social group can contribute to the risk of developing clinical depression.
Serious illnesses. Sometimes, depression happens along with a major illness or may be triggered by another medical condition.
Substance misuse. Nearly 30% of people with substance misuse problems also have major or clinical depression. Even if drugs or alcohol temporarily make you feel better, they ultimately will aggravate depression.
what is the difference between the weight of an object and the mass of an object?
The amount of matter a body's mass is the volume of matter abody's mass. Weight is the gravitational force that pulls on the body.
What sets mass and weight apart from one another?The relationship between mass and weight: Mass is a measure of inertia, whereas weight is a measure of force.
Both of these names are frequently used in the same sentence. In order to determine how much matter a body is made up of, its mass is used as mode of measurement.
The acceleration which is caused by gravity on any mass is measured in terms of weight.
Mass is a measure of the quantity of matter in a material, whereas weight measures how the force of gravity acts upon a mass.
In order to determine how much matter a body contains, its mass is used.
To learn more about mass and weight refer to:
brainly.com/question/1966951
#SPJ4
hello please help i’ll give brainliest
Answer:
B
Large mountains ranges will form
Explanation:
The wavelength of a light ray in air is 5.89 x 10^-7m. When the light ray enters a certain material, its wavelength suddenly becomes 4.4175 x 10^-7 m. What could this material be?
Answer:
Answer: The wavelength of the given electromagnetic radiation is 3.25 m.
Explanation:
OMG PLEASE HELP!!
Which process is the source of all the thermal energy produced by a nuclear
reactor?
O A. Radioactive decay
O B. Chemical decay
O C. Nuclear fusion
O D. Nuclear fission
SUBMIT
Answer: D
Explanation: nuclear fission
How does the number of wavelengths vary with the orbital number of the shell?
a. The number of wavelengths increases corresponding to the orbital number of the shell.
b. The number of wavelengths decreases corresponding to the orbital number of the shell.
c. The number of wavelengths does not change with the orbital number of the shell.
The number of wavelengths increases corresponding to the orbital number of the shell.
The quantum mechanical model of atoms represents the three-dimensional location of the electron in a probabilistic manner using a mathematical function known as a wavefunction, which is sometimes denoted as. Orbitals are another name for atomic wavefunctions. The wavefunction's squared magnitude reflects the probability distribution of locating the electron in a certain region of space. As a result, atomic orbitals characterize the regions of an atom that are most likely to contain electrons. Three quantum numbers characterize an atomic orbital. Any positive integer can be used as the primary quantum number, n. n is connected to the general region for orbital energy value and the average distance of an electron from the nucleus.
We can learn more about orbital number here:
https://brainly.com/question/5087295#
#SPJ4
Electromagnetic radiation is a kind of (1) ____________________ that behaves like a(n) (2) ___________________ as it travels through space. (3) __________________ is one type of electromagnetic radiation. Other examples include X-rays, radio waves, and microwaves.
A type of (1) energy known as electromagnetic radiation acts in space like a(n) (2) wave. (3) One kind of electromagnetic radiation is light. Microwaves, radio waves, and X-rays are some further examples.
What does electromagnetic radiation refer to?radiation with a magnetic and electrical field that moves in waves .It derives from both organic and artificial sources. The energy levels of electromagnetic radiation might be low or high. It is made up of radio waves, microwaves, infrared photons, visible light, uv irradiation, x-rays, and gamma rays.
From top to bottom energy, the components of the visible radiation are refer to as gamma radiation, X-rays, Uv rays, photons, infrared rays, and radio waves. Microwave waves, like those used in microwave ovens, are a subset of the electromagnetic spectrum's radio wave category.
To learn more about electromagnetic radiation from given link
https:/brainly.com/question/1408043
#SPJ4
How does Accenture myNav Green Cloud Advisor integrate sustainability?
Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.
by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.
Accenture can assist its clients in becoming more sustainable by using mynav to locate, assess, architect, and simulate an end-to-end solution at scale.
reduces the expense of transportation
creates a design that is appropriate and aids the customer in becoming more sustainable.
establishes sustainable guidelines for disposing of outdated technology.
myNav Green Cloud Advisor assists businesses in developing cloud solutions that cut carbon emissions and create a platform for ethical innovation. Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers. through promoting the development of cloud technologies that cut down on carbon emissions
To learn more about Accenture myNav from given link
https://brainly.com/question/26449898
#SPJ4
HELP ASAP. WILL GIVE BRAINLIEST. BEING TIMED HURRY!!!!
Choose all the answers that apply.
Which of the following statements is true?
Decreasing force increases an object's acceleration, where mass is constant.
Friction works in the direction opposite of motion.
Increasing mass increases an object's inertia.
| Increasing mass decreases an object's acceleration, where force is constant.
Answer:
B
Explanation:
B BBB
Answer: I think the answer is B if im not wrong
Explanation:
If you throw a ball up in the air at a speed of 14.9 m/s, how fast (in m/s) will it be moving when you catch it
When you catch a ball you threw in the skies at the a speed exceeding 14.9 m/s, it will also travel at the same speed when you catch it.
How fast is it?Time is a scalar that indicates the direction and speed of an object's motion. Usually, it is expressed in terms of measures of speed per amount of time, including m / sec (m/s) or miles each hour (mph) (mph). Speed is the size of velocity, a vector number that indicates both the direction and the speed of motion. Pace is a positive number with a unit of distance traveled per second.
When something is launched into air, it is exposed to the downward-moving force of gravity. The item accelerates downward at a velocity of 9.8 m/s2 as a result of this force
The object will slow down so that it rises and accelerate up as it lowers due to this acceleration. However, if there is very little time between the ball's release and the catch, the ball won't have a chance to slow down much. As a result, the pace at which i catch the ball will be quite similar to the pace at which originally threw it.
The ball will therefore continue to move at the same pace that it did when thrown.
To learn more about speed from the given link:
https:/brainly.com/question/13262646
#SPJ4
What is the velocity of an object that is falling to Earth for 8 seconds? 1.225 m/s b. 9.8 m/s2 c. 78.4 m/s d. 0.816 m/s2
Answer:
Explanation:
Just use the acceleration equation here:
[tex]a=-\frac{v}{t}[/tex] where a = -9.8; velocity is also negative because it's falling down and down is negative. Filling in:
[tex]-9.8=-\frac{v}{8}[/tex] so
-9.8(8) = -v and
v = 78.4 m/s downward (the word "downward" takes place of the negative sign)
which one is the full moon?
Answer:
The one to the left
Explanation:
How can you tell which elements will form ions?
Answer: The position of an element on the periodic table, see resources, tells you the type of ions it will form, with the elements on the right forming anions (negative charge) and those further to the left forming cations (positive charge).
Hope this helps any
A 65.6 kg ice skater moving to the right with a velocity of 2.65 m/s throws a 0.142 kg snowball to the right with a velocity of 32.7 m/s relative to the ground. What is the velocity of the ice skater after throwing the snowball
The velocity of the ice skater after throwing the snowball is 0.08m/s.
Given data as per the question is,
Mass of ice skater= 65.6kg
Velocity 1= 2.65m/s
Mass of the Snowball= 0.142kg
Velocity 2= 25.2m/s
Conditions before snowball is thrown:
Total mass of skater + snowball = 65.6+ 0.142 = 65.742kg
Total Momentum of skater + snowball = mv = 65.6 x 2.65 = 173.84 kgm/s
Conditions after snowball is thrown:
Let's call the velocity of the skater V.
Total momentum = momentum of skater + momentum of snowball
=65.6V + (4.6434)
= 65.6V + 4.6434
173.84 = 65.6V+4.6434
173.84- 4.6434= 65.6V
169.19=65.6 V
V= 175.156/69.22
V = 2.57m/s
The total momentum after catching the snowball is mV or:
(65.6 + 0.142) x V
So:
4.6434= 65.742V
V= 5.544/69.22
V=0.08m/s
The velocity of the ice skater after throwing the snowball is 0.08m/s
Learn more about momentum:
brainly.com/question/24030570
#SPJ4
What is the battery current I_bat when the switch in the figure (Figure 1) is open?
I bat = ___
The battery current is I=9.14A
As per the details share in the above question are as bellow,
The details provided are,
Let us suppose that the current I is flowing through the battery.
The resistor are connected in parallel. i.e
[tex]$3 \Omega$[/tex] and [tex]$5 \Omega$[/tex].
Hence,
[tex]3 \Omega \| 5 \Omega & =\frac{3 \Omega \times 5 \Omega}{3 \Omega+5 \Omega}[/tex]
Further solving it we get,
[tex]& =\frac{15}{8} \Omega[/tex]
The resistor are connected in parallel. i.e
[tex]$3 \Omega$[/tex] and [tex]$1 \Omega$[/tex] .
Hence,
[tex]3 \Omega \| 1 \Omega & =\frac{3 \Omega \times 1 \Omega}{3 \Omega+1 \Omega}[/tex]
Further solving it we get,
[tex]& =\frac{3}{4} \Omega[/tex]
The series sum of the total equivalent resistance is [tex]\frac{15}{8}[/tex]Ωand [tex]$\frac{3}{4} \Omega$[/tex] resistors.
[tex]R_{e q} & =\frac{15}{8} \Omega+\frac{3}{4} \Omega \\[/tex]
Adding the rational number we get,
[tex]& =\frac{15+6}{8}[/tex]
Further solving it we get,
[tex]& =\frac{21}{8} \Omega[/tex]
Identify the battery current value.
[tex]& \mathrm{I}=\frac{V}{R_{e q}}[/tex]
Substitute the value in above equation we get,
[tex]& \mathrm{I}=\frac{24}{\left(\frac{21}{8}\right)}[/tex]
Further solving it we get,
I=9.14A
For such more question on battery current.
https://brainly.com/question/5059264
#SPJ4
Note: The diagram of the question is added bellow,
Draw a neat labelled diagram for a particle moving in a circular path with a constant speed. In your diagram show the direction of velocity at any instant.
Explanation:
Particle moving in a circular path with a constant speed.
A kettle efficiency is 72% , the kettle uses 300 j to boil water.
A- how much of this energy ends up stored in water inside the kettle ?!
b-draw the sankey diagram.
help plss its for today
Answer:
72% = output / 300j * 100
output = 216 joules
300j - 216j = 84joules remains in the water
What is the difference between static and dynamic flexibility ?
Static stretches are those in which you remain in a single position—standing, sitting, or lying still—for up to 45 seconds. Dynamic stretches are regulated motions that get your ligaments, muscles.
Stretches that are static versus those that are dynamic:Movement is included into dynamic stretches, such as lunges with a torso twist. As opposed to dynamic stretches, static stretches include holding a stretched position for a while. Stretches that are static include the triceps stretch and the butterfly stretch.
A swimmer might, for instance, circle their arms before entering the water. A series of movements to get the body moving before engaging in any kind of exercise can also be considered dynamic stretches.
To learn more about flexibility visit:
brainly.com/question/2645707
#SPJ4
HELP
a single beam of white light shine through this glass triangular prism below: What is happening to the speed of light as it moves from the air to the glass of the prism? options: The speed of light is increasing, creating the rainbow effect. The speed of light is decreasing, creating the rainbow effect. The speed of light does not change, only the angle creates the rainbow. The speed of light does not change, the rainbow is created because the prism is made of glass.
Answer:
speed of light is decreasing, creating the rainbow effect
Explanation:
the prism is acting as a vaccum, when light enters a vaccum it's refracted
a certain mass of neon is in a rigid steel container. the samew mass og helium is added, what happens to pressure
According to the question, the container's pressure increases but it doesn't double.
This word pressure, what is it?By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.
What is a good instance of pressure?Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).
To know more about pressure visit :
https://brainly.com/question/17467912
#SPJ4
si un disco fue lanzado con una fuerza de 1000 N, y el disc recorrió una distancia e o.6 m ¿Qué trabajo efectuó el lanzador ?
Answer:
Trabajo realizado = 600 Nm
Explanation:
Dados los siguientes datos;
Fuerza = 1000 Newton
Distancia = 0.6 metros
Para encontrar el trabajo realizado;
[tex] Trabajo \; realizado = fuerza * distancia [/tex]
Sustituyendo en la ecuación, tenemos;
[tex] Trabajo \; realizado = 1000 * 0.6 [/tex]
Trabajo realizado = 600 Nm
In Cathode Ray Oscilloscope (CRO), if plates for vertical deflection are removed then what will be the wave pattern on the fluorescent screen?
Answer:
the waves will appear horizontally on the florescent screen because the y-plates have been removed
Without the plates for vertical deflection, the CRO will only display the horizontal waveform on the fluorescent screen, with no vertical deflection.
What is CRO?CRO stands for Cathode Ray Oscilloscope. It is an electronic instrument used for visualizing and measuring various electrical and electronic waveforms. It works by displaying a graph of voltage versus time on the screen. This graph is generated by deflecting a beam of electrons, known as the cathode ray, across a screen coated with a phosphorescent material that emits light when struck by the electrons. The horizontal axis of the screen represents time, while the vertical axis represents the amplitude of the signal being measured. CROs are widely used in electronic engineering, telecommunications, and other fields for testing and analyzing signals.
Here in the Question,
If the plates for vertical deflection are removed in a Cathode Ray Oscilloscope (CRO), then the wave pattern on the fluorescent screen will be a straight line, with the height of the line depending on the voltage applied to the horizontal deflection plates.
This is because the CRO uses an electron beam to display the waveform of an electrical signal on a fluorescent screen. The electron beam is directed towards the screen by the deflection plates, which are typically placed perpendicular to each other.
When a voltage is applied to the vertical deflection plates, the electron beam is deflected vertically, resulting in a waveform on the screen. If the vertical deflection plates are removed, the electron beam will not be deflected vertically and will travel in a straight line towards the screen.
However, if a voltage is applied to the horizontal deflection plates, the electron beam will be deflected horizontally, resulting in a waveform that is displayed horizontally on the screen. The height of the waveform will be determined by the voltage applied to the horizontal deflection plates.
Therefore, without the plates for vertical deflection, the CRO will only display the horizontal waveform on the fluorescent screen, with no vertical deflection.
To learn more about electromagnetic radiation click:
https://brainly.com/question/10759891
#SPJ3
Describe how you would find absolute pressure in a car tire if you had a barometer and a tire pump with an air
pressure gauge
The absolute pressure in a car tire can found by following method:
Pressure is the force per unit area applied toward a course perpendicular to the outer layer of an item. To keep it precise, it is an amount of force following up on a unit area. The SI unit for pressure is measured in Pascals (Pa). Other non-SI units are bar and PSI. There are two types of references to quantify pressure,
Gauge Pressure
Absolute Pressure
The most well-known pressure reference is Gauge Pressure which is connoted by a ‘g’ after the pressure unit, for example, 33 psi g. It is the pressure relative to barometric or atmospheric pressure; it is positive for pressures above atmospheric pressure and negative for pressures that are below atmospheric pressure. An Absolute pressure estimation is one that is alluded to as a perfect or an ideal vacuum. The best illustration of an absolute referenced pressure is the calculation of Barometric pressure. To deliver an absolute pressure sensor, one strategy is for a maker to seal a high vacuum behind the detecting diaphragm.Formula of Absolute pressure is given by:
p(a) = p(g) + p(atm)
Where ,
p(a) is absolute pressure,
p(g) is gauge pressure and
P(atm) is atmospheric pressure
To know more about pressure visit:
https://brainly.com/question/11150083
#SPJ1
hello please help i’ll give brainliest
Answer:
Antarctica and Australia were one landmass millions of years ago
Explanation:
Thats the answer I'm very sure of it
Answer:
It is Antartica and Australia
Which statements best describe magnetic fields? Check all that apply.
O A magnetic field is a region where a magnetic force is exerted on certain objects.
O A magnetic field behaves like a force vector.
O Magnetic field lines are strongest around the middle of the magnet.
O Magnetic field lines form closed loops that spread out of the north end of a magnet.
O Magnetic field lines form closed loops that spread out of the south end of a magnet.
O.A magnetic field is a region where a magnetic force is exerted on certain objects.
O. A magnetic field behaves like a force vector.
O.Magnetic field lines form closed loops that spread out of the north end of a magnet.
Explanation:
1,2, and 4
Answer:
a,b,d
Explanation:
i took the test
Is there any difference between antimatter, dark matter, dark energy, and degenerate matter?
Yes. Antimatter, dark matter, dark energy, and degenerate matter are all distinct entities that actually exist in our universe, despite their names sounding hazy and almost fictitious.
Is there a distinction between dark energy and dark matter?Dark energy and dark matter are not the same, despite the name. The only difference is that both are invisible. Galaxies are pushed apart by dark energy, while dark matter holds them together.
Which of the three kinds of dark matter exists?Candidates for dark matter can be either baryonic or non-baryonic, or a combination of the two. Most of the time, the non-baryonic forms fall into two categories: Hot Dark Matter (HDM) and Cold Dark Matter (CDM).
To learn more about Dark energy here:
https://brainly.com/question/29801644
#SPJ1
An object that is moving in a circle at a constant speed has a velocity vector that is directed ________and an acceleration vector that is directed ________.
A directed velocity vector and a directed velocity acceleration vector characterise an item travelling in a circle at a constant speed.
When an item is travelling in a circle at a constant speed, what is its acceleration?Consequently, an object travelling in a circle at constant speed is speeding up its approach to the circle's centre. Centripetal acceleration is the term used to describe the speed toward the centre of the circle.
What happens to an object's velocity when it rotates in a circle at a constant speed?There is a fluctuating velocity for an object in a circular orbit travelling at a constant speed. Considering that velocity is a vector quantity that depends on both speed and direction, this makes sense. Accelerating is the object in orbit.
To know more about acceleration visit:-
https://brainly.com/question/2303856
#SPJ4
Use the parallax formula to calculate the distance to each of the following stars. Give your answers in both parsecs and light-years.
Part A
Alpha Centauri: parallax angle 0.7420''.
Express your answer using four significant figures.
Part C
Procyon: parallax angle of 0.2860''. UNITS: pc
Express your answer using four significant figures.
Part D
convert part C to light years
Express your answer using four significant figures.
The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart.
What is distance ?
Distance is the measure of how far apart two objects or points are. It is typically measured in units such as meters, kilometers, miles, or light years. Distance can also be measured in terms of time, such as the time it takes to travel from one point to another.
Distance can either be measured directly, by measuring the physical gap between two points, or indirectly, by using a map, compass, or other navigation tool.
Part A
Distance = 1/0.7420 = 1.3481 parsecs
Distance = 1.3481 * 3.26156 = 4.39 light-years
Part C
Distance = 1/0.2860 = 3.4984 parsecs
Part D
Distance = 3.4984 * 3.26156 = 11.39 light-years
The parallax formula is used to calculate the distance to a star based on the parallax angle, which is the angle between a star's position in the sky when observed from two points in the Earth's orbit six months apart. The formula is simply distance = 1/parallax angle. For both parts A and C, the answer is first given in parsecs and then converted to light-years using the conversion factor of 3.26156 light-years per parsec.
To learn about more distance .
https://brainly.com/question/26550516
#SPJ4
how long is it estimated that it will take for ods to leave the atmosphere?
A. 100 years
B. 60 years
C. 10 years
D. 30 years
Ods are predicted to disappear from the atmosphere in 10 years. So, the correct option is C.
What is Atmosphere?A layer (or layers) of gases that surround a planet and are held together by the gravitation of the planetary body is known as an atmosphere. Whenever the gravity is strong as well as the atmospheric temperature is low, a planet preserves its atmosphere. The five separate layers of the atmosphere are a result of the temperature variations that occur with height.
The layer of gases that covers Earth and contains the air we breathe is known as an atmosphere. The gravitational pull of the planet's neighbor, Earth, keeps it close to the surface. To gauge air pressure, use a barometer. The three primary components of the atmosphere are nitrogen, oxygen, and argon.
Therefore, the correct option is C.
Learn more about Atmosphere, here:
https://brainly.com/question/25881294
#SPJ3
A cylindrical bucket of liquid (density rho) is rotated about its symmetry axis, which is vertical. If the angular velocity is ω, show that the pressure at a distance r from the rotation axis is P=P 0+ 21rhoω 2r 2where P 0 is the pressure at r=0,
Answer:
To derive the formula for the pressure at a distance r from the rotation axis, you can use the principle of hydrostatic equilibrium. This states that the pressure at a point in a fluid is equal in all directions and the net force on a fluid element is equal to zero.
Consider a small cylindrical element of fluid at a distance r from the rotation axis, as shown in the diagram below. The dimensions of the element are dr in the radial direction, 2πr in the circumferential direction, and h in the vertical direction. The weight of the element is equal to the product of its volume, density, and the acceleration due to gravity: W = (2πr)(dr)(h)(ρ)(g). The pressure at the top and bottom faces of the element is P + dP, where P is the pressure at the point and dP is a small change in pressure. The forces acting on the element are the weight of the element, the pressure force at the top face, and the pressure force at the bottom face.
[asy]
unitsize(2cm);
pair P1, P2, P3, P4;
P1 = (0,0);
P2 = (1,0);
P3 = (1,1);
P4 = (0,1);
draw((-0.5,0)--(1.5,0));
draw((0,-0.5)--(0,1.5));
draw(P1--P2--P3--P4--cycle);
draw((0.5,0)--(0.5,1));
draw((0.25,0)--(0.25,1));
draw((0.75,0)--(0.75,1));
label("$r$", (0.5,1.5), red);
label("$