Answer:
hypotenuse² = base² +height²
Explanation:
Let us suppose a right angled triangle having b as base, h as hypotenuse and p as perpendicular distance.
The relation between the length of legs, the base and the hypotenuse is called Pythagoras theorem. It is given by :
[tex]h^2=b^2+p^2[/tex]
or
hypotenuse² = base² +height²
Answer:
The relation between the length of the hypotenuse in a right triangle and lengths of the legs is [tex]H^{2} = p^{2}+b^{2}[/tex].
Explanation:
The legs of right angled triangle is also known as perpendicular and base respectively.
Let p be length of perpendicular and b be the length of base. Then by Pythagoras theorem,
[tex]H^{2} = p^{2}+b^{2}[/tex]
here, H is the length of Hypotaneous.
Thus, relation between the length of the hypotenuse in a right triangle and lengths of the legs is [tex]H^{2} = p^{2}+b^{2}[/tex].
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A plane travels at a speed of 160mph in still air. flying with a tailwind, the plane is clocked over a distance of 550 miles. flying against a headwind, it takes 2 hours longer to complete the return trip. what was the wind velocity? (round your answer to the nearest tenth.)
A concave lens can only form a
A. real image.
B. reversed image.
C. virtual image.
D. magnified image.
in my book it says concave makes a real image and convex makes a virtual image can someone please explain to me why this one isnt A.,
How does fission and fusion affect an atoms nucleus differently?
Answer in complete sentences and include hypothetical examples.
When a heavy nucleus breaks up into two or more fragments with the liberation of energy, the process is called fission.
When two light nuclei fuse together to form a comparatively heavy nucleus, the process is called fusion. Both processes are accompanied by release of energy.
The most common example of fission is the fission of Uranium nucleus, which absorbs a slow neutron and breaks into Barium, Krypton, a few neutrons and energy.
U(235)+neutron→Ba(139)+Kr(94)+3 neutrons+200 MeV
Each fission releases around 200 MeV of energy.
The fusion reaction is responsible for energy generated by stars.
Protons in the stars combine to form a Helium nucleus with the liberation of energy.
4 protons→Helium+2 positrons+ nuetirnos+ 26.7 MeV
Fusion reactions can happen only at very high temperatures, which is required ,so that the protons have enough kinetic energy to overcome their mutual electrostatic repulsion. The temperatures that can result in fusion are of the order 10^8 K is present in stars , hence stars generate energy by fusion.
However, such temperatures are difficult to maintain and control on Earth, and hence controlled fusion reaction is still not available commercially. Experiments are on , using large magnetic fields to contain the ions that undergo fusion, since no container can hold the nuclei while they undergo fusion.
Fusion is also called clean energy, since the byproducts of fusion are not radioactive, but many fission byproducts are generally radioactive.
Which of the following states Bernoulli’s principle?
A. As the speed of a fluid decreases, the pressure within the fluid decreases.
B. As speed of a fluid increases, the pressure within decreases.
C. As the speed of a fluid changes, the pressure of the fluid remains constant.
D. None of the above
Answer:
B. As speed of a fluid increases, the pressure within decreases.
Explanation:
The distance between two consecutive nodes of a standing wave is 21.9 cm. the hand generating the pulses moves up and down through a complete cycle 2.13 times every 3.65 s. find the velocity of the wave. answer in units of m/s.
The velocity of the wave is calculated from its frequency and wavelength. The frequency is 0.58 Hz, and the full wavelength is 43.8 cm or 0.438 m. Thus, the wave's velocity is 0.254 m/s.
Explanation:The velocity of a wave, denoted as 'Vw', is determined by the frequency of the wave and its wavelength. The frequency (f) of the wave referred to here would be calculated as 2.13 cycles / 3.65 s = 0.58 Hz. However, note that the provided distance is between two consecutive nodes, which is only half a wavelength (λ/2). The full wavelength is twice this distance, which is 21.9 cm * 2 = 43.8 cm, or 0.438 m.
Using the formula for wave velocity Vw = fλ, we substitute the given values, which gives us Vw = 0.58 Hz * 0.438 m = 0.254 m/s.
Therefore, the velocity of the wave in this scenario would be approximately 0.254 meters per second.
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Ross was taking a walk on a cold, winter day. A few minutes into his walk, Ross's hands got cold, so he rubbed them together to warm them. Ross warmed his hands by using:
You have a potential difference of 8 v. how much work is done to transfer 0.32 c of charge through it? answer in units of j.
The work done to transfer 0.32 C of charge through a potential difference of 8 V is 2.56 joules, calculated using the formula W = Vq (where V is the potential difference and q is the charge).
Explanation:In physics, the work done to move a charge through a potential difference can be calculated using the formula W = Vq, where V is the potential difference (measured in volts, V) and q is the charge (measured in coulombs, C).
In this case, the potential difference is 8 v, and the charge is 0.32 C. Applying the formula, we have W = 8V * 0.32 C = 2.56 J. So, the work done to transfer 0.32 C of charge through a potential difference of 8 V is 2.56 joules (J).
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The tires on your truck have 0.35 m radius. In a straight line, you drive 2600 m. What is the angular displacement of the tire, during this trip? Would the angular displacement be more or less if you put on big mud tires with a radius of .60m Mud tires have (more or less) angular displacemen
A piece of metal will feel colder than a piece of wood at the same temperature. Why?
which gas giant has a rotation axis so tilted that the planet rotated like a bowling ball as it orbits the sun?
a. saturn
b. uranus
c. jupiter
d. neptune
The chances of being involved in a fatal crash is higher at night then during the day
A characteristic of a parallel circuit
The number of oscillations that a wave completes per unit of time in called its _______.
A message is sent from the Galileo spacecraft orbiting Jupiter to earth at a distance of 928,000,000km. If it took the signal 51.6 minutes to arrive, what is the calculated the speed of the signal in km/s?
speed of signal = 299742 km/s
Explanation:
[tex] V=\frac{d}{t} [/tex]
d= distance=928,000,000 km
t= time=51.6 min= 51.6 (60)= 3096 s
so v= 928,000,000/3096
v=299742 km/s
A guitar string has a linear density of 8.30 ✕ 10−4 kg/m and a length of 0.660 m. the tension in the string is 56.7 n. when the fundamental frequency of the string is sounded with a 196.0-hz tuning fork, what beat frequency is heard?
At what speed do a bicycle and its rider, with a combined mass of 120 kg , have the same momentum as a 1800 kg car traveling at 5.6 m/s ?
The bicycle and rider need to have a speed of approximately 84 m/s to have the same momentum as the car.
Explanation:The momentum of a moving object is given by the formula:
Momentum = mass × velocity
To find the speed at which a bicycle and its rider, with a combined mass of 120 kg, have the same momentum as a 1800 kg car traveling at 5.6 m/s, we can set up an equation:
120 kg × speed of the bicycle and rider = 1800 kg × 5.6 m/s
Solving for the speed of the bicycle and rider:
Speed of the bicycle and rider = (1800 kg × 5.6 m/s) / 120 kg
Speed of the bicycle and rider ≈ 84 m/s
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To have the same momentum as an 1800 kg car traveling at 5.6 m/s, a bicycle, and its rider, with a combined mass of 120 kg, must travel at 84 m/s. This is established using the concept of momentum which is calculated by multiplying an object's mass and velocity.
Explanation:The subject matter of your question falls under physics, particularly the concept of momentum. Momentum is the product of an object's mass and its velocity. It's a vector quantity, which means it has both magnitude and direction.
The formula for momentum is p = mv, where 'p' is momentum, 'm' is mass, and 'v' is velocity or speed. To find the speed at which a bicycle and its rider, with a combined mass of 120 kg, have the same momentum as an 1800kg car traveling at 5.6m/s, we need to equate their momentums and solve for the speed of the bicycle and rider.
We know that p(car) = p(bicycle + rider)
Therefore, m(car)*v(car) = m(bicycle + rider)*v(bicycle + rider)
Substituting the known values, we get 1800 kg * 5.6 m/s = 120 kg * v(bicycle + rider)
Solving for v(bicycle + rider), we find that the speed of the bicycle and rider should be 84 m/s to have the same momentum as the car.
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A teacher sets up a stand carrying a convex lens of focal length 15 cm at 20.5 cm mark on the optical bench. She asks the students to suggest the position of the screen on the optical bench so that a distinct image of a distant tree is obtained on it. What should be the correct position of the screen as suggested by the students and why?
The scientific method includes _____. experimentation analysis of data research all of the above
Answer: Fourth option is correct i.e. all of the above.
Explanation:
Scientific method is a procedure of research where firstly problem is identified for which essential data is collected and then relevant hypothesis is formed and it is further tested.
So, It includes research, experimentation and observation, then analysis of data and formed hypothesis and tested it.
Hence, Fourth option is correct i.e. all of the above.
Which specialized science would you consult before cultivating your new field or farm for better and profitable yields? A. biotechnology B. biochemistry C. integrated pest management D.soil science
Answer: D. soil science
Explanation:
Soil science is necessary field which is required to be consulted before cultivating the field for profitable yields. This is because of the fact that the plants grows over the soil. The soil is an integrated mixture of inorganic or organic particles, water, air and minerals which are necessary ingredients for the growth of new plants. The soil of good quality can yield profitable crops.
How does refraction support the particle theory of light? Particles bounce off surfaces similar to the way in which a ball bounces off a wall. Light slows down and bends when it moves from a less dense to a more dense medium. Forces act on the particles to push or pull them from one medium to another. As light passes through an opening, it spreads out in all directions.
Answer: The correct answer is "Forces act on the particles to push or pull them from one medium to another".
Explanation:
Refraction: It is the phenomenon in which light gets bend while travelling from one medium to the another due to change in the speed of light.
In this phenomenon, the light gets bend towards the normal when the light rays is travelling from rarer medium to denser medium. The light gets bend away from the normal when the light rays is travelling from denser medium to rarer medium.
Reflection: It is the phenomenon in which the light rays bounce back from the surface without getting absorbed.
Therefore, the correct option is "Forces act on the particles to push or pull them from one medium to another".
The refraction supports the particle theory of light by the statement as Forces act on the particles to push or pull them from one medium to another.
The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The difference in density is the cause of the bending.
Refraction is a term that is used to describe the phenomenon of refraction. The change in direction of a wave traveling from one medium to another is known as refraction.
The refraction supports the particle theory of light by the statement as Forces act on the particles to push or pull them from one medium to another.
Hence the third statement is correct.
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If you wanted to produce more power, what could you do to maximize power?
Two objects, C & D, have the same momentum. Object C has ½ the mass of object D. Find the value of the ratio of velocity C to velocity D.
Part 2
Find the value of the ratio of kinetic energy C to kinetic energy D.
The ratio of velocity C to velocity D is 2:1 and the ratio of kinetic energy C to kinetic energy D is 4:1.
Explanation:To find the ratio of velocity C to velocity D, we can use the principle of conservation of momentum. Momentum is defined as the product of mass and velocity. Since the two objects have the same momentum, we can write the equation:
PC = PD
Since the mass of object C is half the mass of object D, we can write the equation:
mCvC = mDvD
Dividing both sides of the equation by mD and rearranging, we get:
vC/vD = mD/mC = 2/1 = 2
Therefore, the ratio of velocity C to velocity D is 2:1.
To find the ratio of kinetic energy C to kinetic energy D, we can use the equation for kinetic energy:
K.E. = 1/2mv2
Since the objects have equal momentum, their velocities are inversely proportional to their masses. Since object C has half the mass of object D, it must have twice the velocity. The ratio of kinetic energy is the square of the ratio of velocities:
(vC/vD)2 = (2/1)2 = 4
Therefore, the ratio of kinetic energy C to kinetic energy D is 4:1.
The ratio of the velocity of object C to object D is 2:1, and the ratio of their kinetic energies is 1:1, because object C has half the mass and, consequently, double the velocity of object D, resulting in equal kinetic energies.
Explanation:The student's question involves finding the velocity ratio and kinetic energy ratio for two objects with the same momentum but different masses. Since object C has half the mass of object D (m_C = 1/2 m_D) and both have the same momentum (p = m_C * v_C = m_D * v_D), we can express the velocity of object C as twice the velocity of object D (v_C = 2 * v_D). Therefore, the ratio of velocity C to velocity D (v_C/v_D) is 2:1.
For the kinetic energy ratio of object C to object D (KE_C/KE_D), we use the formula for kinetic energy, KE = (1/2)mv^2. Since object C has half the mass and double the velocity of object D, its kinetic energy would be the same as object D (KE_C = KE_D). This yields a kinetic energy ratio of 1:1.
Zero gauge pressure corresponds on the absolute scale to
Which of the following rocks most likely resulted from compacting and cementing particles together?
Answer:
The answer is a sandstone. A sandstone is sedimentary rock composed of sand-size grains of mineral, rock, or organic material. It also contains a cementing material that binds the sand grains together and may contain a matrix of silt or clay-size particles that occupy the spaces between the sand grains.
Explanation: mark as brainly
5. __________ is a force acting through distance.
A.Power
B.Work
C.Friction
D.Acceleration
I think it's D
The correct answer to the given question is 'B. Work,' which is the force acting through a distance, as represented by the equation W = Fd.
The answer to the question, "__________ is a force acting through distance," is 'B. Work.' When a force causes an object to move through a distance, work is done on the object. The equation for work is W = Fd, where W is work, d is the distance over which the force acts, and F is the force parallel to the direction of motion. It's important to understand that acceleration (D) is the rate of change of velocity and, while it is related to force by Newton's second law (F = ma), it is not work itself. Therefore, A. Power, C. Friction, and D. Acceleration are not the correct answers in this context.
does the wavelength of the sound increase, decrease, or stay the smae as the musician changes from the first sound to the second sound?
Which of the following is true concerning kinetic-molecular theory and heat transfer between relatively hotter Object A and relatively colder Object B?
A. Molecules of Object A collide with those of Object B, and the molecules in Object B move faster.
B. Molecules of Object A collide with those of Object B, and the molecules in Object B move at the same speed.
C. Molecules of Object B collide with those of Object A, and the molecules in Object A move faster.
D. Molecules of Object B collide with those of Object A, and the molecules in Object B move slower.
What kind of energy involves the flow of positive charges?
A. thermal
B. radiant
C. electrical
D. nuclear
Electrical energy involves the flow of positive charges. Option C is correct.
What is the charge?When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force.
Similar charges repel each other, whereas dissimilar charges attract each other. The term "neutral" refers to an item that has no net charge.
The pace at which electrons travel through a conductor is known as electric current. The ampere is the SI unit for electric current.
Electrons are tiny particles that reside within a substance's molecular structure.
Hence, option C is correct.
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Look at the circuit diagram. How many switches does the diagram show?
Answer:
the answer is two
Explanation:
What property of a wave increases as the wave's energy increases? question 19 options: pitch frequency amplitude wavelength?