Given: NM 1 XZ
Prove: AXYZ- ANYM
N
Try 11
X
Z
M
We know that side NM is
to side
XZ. If we consider side NY the transversal for these
parallel lines, we create angle pairs. Using the
we can state
that YXZ is congruent to YNM. We know that angle
XYZ is congruent to angle
by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
F

If the density of water does not vary and the vents range in depth from about 1500 m to 3200 m below the surface, then the gauge pressure at a 2452-m deep vent is 224.268 atm.

Calculation:

Step-1:

It is given that the vents range in depth from about 1500 m to 3200 m below the surface. If we are assuming that the density of water does not vary. Then it is required to calculate the gauge pressure at a 2452-m deep vent.

The gauge pressure at a particular depth of ocean water is calculated as:

[tex]$$P=\rho g h$$[/tex]

Here [tex]\rho[/tex] is the density of water, P is the required pressure, h is the depth of water, and g is the gravitational acceleration.

Step-2:

Now we are substituting the values to calculate the pressure at the depth of 2452-m.

[tex]$$\\\begin{aligned}\\P&=\rho gh\\&=1030 (\text{ kg/m}^3)\times 9.8 (\text{ m/s}^2)\times 2452 \text{ m}\\&=24.75\times 10^6 \text{ Pa}\times\frac{1 \text{ atm}}{10.1325 \times10^4 \text{ Pa}}\\&=224.268 \text{ atm}\\\end{aligned}\\$$[/tex]

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Excess Carbon Monoxide(CO) attributed to increases in the planet's temperature over the past few decades

While carbon monoxide (CO) poisoning is the world's most common cause of poisoning death, correlations between CO poisoning and weather are yet unknown.

The incidence risk of acute CO poisoning is influenced by temperature changes, however, the effects vary in Taiwan depending on the season and the person. Our research quantifies the effects of environmental variables and offers essential support for healthcare professionals to create preventive measures to lower the incidence of acute CO poisoning.

An earlier study conducted in Beijing found a negative correlation between temperature and the frequency of acute Carbon Monoxide poisoning. While the impact of other significant weather variables (such as relative humidity and wind speed) on this issue is still unknown, prior research has mostly focused on the relationship between temperature variations and CO poisoning.

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The induced electric field inside the cylindrical region is directly proportional to r

What is the electric field?

An electric field is the physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field.

Here. a magnetic field with magnitude linearly varies with time.

Radial distance  = r

Area of this region, A = π*r^2

Let the induced electric field be E.

Magnetic flux:

∅(B) = B*A

Let the magnetic field be kt,

where k is some constant and t is time.

(B) = kt * (πr^2)

Using Maxwell's equation of electromagnetism,

[tex]\int\limits^a_b {E} \, dr = -\frac{d∅}{dt}[/tex]

[tex]E* 2\pi r = - \frac{d}{dr}(\pi k tr^{2} )[/tex]

[tex]E*2\pi r = -\pi kr^{2}[/tex]

[tex]E = - \frac{kr}{2}[/tex]

Hence

E ∝ r

The induced electric field is directly proportional to r

So, option 2 is correct.

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The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

To find the answer, we need to know about the expression of kinetic energy and potential energy.

Thus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

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The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

The total amount of force acting on the object or body along with the direction of the body.

The formula for the resultant force vector is given by Newton's Second law.  F=ma.

here

speed, v = 25 m/s

radius, r = 0.15 km = 150 m

weight, w = 0.80 kN = 800 N

we know that,

W = m*g

800 = m * 9.8

m = 800 / 9.8

m = 81.63 kg

magnitude of the resultant force:

F = m*v^2 / r

F = 81.63 * 25^2 / 150

F = 340.13 N

F = 0.34 kN

hence,

The magnitude of the resultant force acting on the driver, who weighs 0.80 kN

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The work done on the box is 350 Joule.

Work is done on an object when the displacement of the object is not perpendicular to the direction of the applied force. The unit of Work is Joule (J)

Given that 70N force pulls a box straight up 5 m above the ground.

Work is the product of force F and the distance S. That is,

W = F x S

Where

Substitute the two parameters into the formula above

W = 70 x 5

W = 350 J

Therefore, the work done on the box is 350 Joule.

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Solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels

Renewable energy simply refers to energy that is not depleted when used. An example of such is solar power.

So therefore, solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels

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The magnitude of the initial velocity of the ball relative to the ground is 9.3 m/s.

Relative velocity is the velocity of an object relative to another moving in the same plane. On frame of reference is used when measuring relative velocity.

The velocity of the ball relative to the ground  is the sum of the velocity of the ballistic cart and the velocity in which the ball is ejected.

The velocity of the ball relative to the ground = 6.5 m/s + 2.8 m/s = 9.3 m/s

In conclusion, relative velocity measures the velocity of an object from a reference point.

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Answer:

87 kph

Explanation:

The work is done by the 50 N force is 200 J.

Work done = Fd

where;

Work done = 50 N x 4 m = 200 J

Thus, the work is done by the 50 N force is 200 J.

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The focal length of eyepiece is 2.85.

It is given that astronomical telescope is designed with over magnification of 35.

The object has a focal length of 100 cm.

We need to determine the focal length of the eyepiece.

The formula to be used here is for astronomical telescope is:

[tex]m=\frac{f_{0} }{f_{e} }[/tex]

Using values here, we get

[tex]35=\frac{100 }{f_{e} }[/tex]

[tex]f_{e}=100/35=2.85[/tex]

Hence, the focal length of eyepiece is 2.85

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Answer:

St. Elmo's Fire - well known to old time sailors

Normal is the  other half of an action-reaction pair

If a person is sitting on a chair , there must be a gravitation force acting in downward direction which is equal to the weight of that person . That means the person is exerting a force on the chair equal to its weight . But the person is not falling down the chair , because of newtons third law of motion .

There must be a counter force which is equal and opposite to the force exerted by the person on the chair , in order to make net force equal to zero and to make that man in stationary state ( no movement )  .That force is called Normal force which is been acted by the chair on the person .This implies Normal is the  other half of an action-reaction pair

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Option (c) and (d) are correct

a and b are the recessive alleles represented in genotype AaBb.

An allele is a different nucleotide sequence that codes for the production of a gene product at the same location on a lengthy DNA molecule.

Recessive Allele : A particular allele that, when present alone, has no effect on the person. The expression of the trait requires the presence of two copies of the allele.

Dominant Allele : A dominant allele is a gene variant that will result in a specific phenotype even when there are other alleles present.

Genotype - The genetic configuration that determines the features that an organism inherits from its parents is known as a genotype.

Phenotype - The term "phenotype" refers to an organism's observable physical characteristics, such as its appearance, growth, and behavior.

Hence (a) & (b) are the recessive alleles represented in the genotype AaBb.

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The position of the image, if the object moved to new position 20.0 cm from the mirror is 5.7372 cm.

As per the lens equation,

[tex]\frac{1}{p1} +\frac{1}{q1} =\frac{1}{f}[/tex]

Since, p1 is the position of object initially, q1 is the position of the image initially and f is the focal length of the lens.

[tex]\frac{1}{10.4} +\frac{1}{7.8} =\frac{1}{f}[/tex]

[tex]0.0961+0.1282=\frac{1}{f}[/tex]

[tex]f=4.458[/tex] is the focal length of the given lens.

Then the object moved to second position of p2=20.0 cm from the mirror.

So, [tex]\frac{1}{p2} +\frac{1}{q2} =\frac{1}{f}[/tex]

[tex]\frac{1}{20} +\frac{1}{q2} =\frac{1}{4.458}[/tex]

[tex]\frac{1}{q2}=0.2243-\frac{1}{20}[/tex]

[tex]\frac{1}{q2}=0.1743[/tex]

Hence, q2=5.7372 cm is the new position of the image.

Initially, the object placed 10.40 cm from the mirror, then the image formed at 7.80 cm, then the object moved to 20.0 cm from the mirror, then the new image formed at 5.74 cm.

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Comparison of the range:

If a second projectile is launched with half of the initial velocity of the first projectile. The range of the second projectile is one-fourth of the first one.

Calculation:

Step-1:

It is given that the first particle has an initial velocity of [tex]v_0[/tex], and the second particle has an initial velocity of [tex]\frac{v_0}{2}[/tex]. It is required to compare the range of the second projectile with the first one.

It is known that the range of a projectile is calculated as,

[tex]R=\frac{u^{2} \sin 2 \theta}{g}[/tex]

Where u is the initial speed, g is the acceleration due to gravity, and [tex]\theta[/tex] is the angle at which the particle is thrown.

This problem [tex]\theta[/tex] is the same in both cases.

Step-2:

Therefore the range of the first projectile is,

[tex]R_1=\frac{v_0^{2} \sin 2 \theta}{g}[/tex]

The range of the second projectile is,

[tex]$$\begin{aligned}R_2&=\frac{(\frac{v_0}{2})^{2} \sin 2 \theta}{g}\\&=\frac{v_0^2\sin 2 \theta}{4g}\\\end{aligned}$$[/tex]

Therefore,

[tex]$$\begin{aligned}\\\frac{R_2}{R_1}&=\frac{1}{4}\\\Rightarrow R_2&=\frac{1}{4}R_1\\\end{aligned}\\$$[/tex]

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The velocity of pluck 1 is 12 m/s west.

The principle of the conservation of the linear momentum states that momentum before collision is equal to momentum after collision.

Now given that;

m1u1 + m2u2 = m1v1 + m2v2

(0.1 * 15) - (0.1 * 12) = 0.1* v + (0.1 * 15)

1.5 - 1.2 = 0.1v + 1.5

0.3 - 1.5 = 0.1v

v = -1.2/0.1

v = - 12 m/s

Hence, the velocity of pluck 1 is 12 m/s west.

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The magnitude of the electric potential difference between the plates is 37.63 V.

Given:

Distance between the plates, d = 9 cm

Surface charge density, ρ = 3.7 nC/m² = 3.7 × 10⁻⁹ C/m²

Calculation:

For two parallel plate conductors, the electric field is given as:

E = ρ/ε₀

where ρ is the charge density

           ε₀ is the permeability of free space

Applying values in the above equation we get:

E = ( 3.7 × 10⁻⁹ C/m²)/(8.85 × 10⁻¹² C²/m)

  = 418.08 V/m

Now, the potential difference between the plates separated by a distance 'd' is given as:

ΔV = Ed

where E is the electric field

           d is the distance of separation between the plates

Applying values in the above equation we get:

ΔV = (418.08 V/m) × (0.09 m)

     = 37.63 V

Therefore, the magnitude of the electric potential difference between the plates is 37.63 V.

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Answer:

D.Linegraph

Explanation:

Linegraph could be easily converted into a pie chart

Answer:

bar graph

Explanation:

Answer: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 3.40 cm, producing an angular acceleration of the forearm of 165 rad/s2. Then, the moment of inertia of the boxer's forearm will be 0.412Nm/rad/sec2.

Explanation: To find the correct answer, we have to know more about the moment of force or torque.

                        [tex]T=rFsin\alpha[/tex], where, [tex]\alpha[/tex] will be the angle between r and F.

                                   [tex]T=I\beta[/tex]

                     Where,  [tex]I=r[/tex]×m

                  [tex]F=2*10^3N\\r=3.40*10^-2m\\\beta =165 rad/sec^2[/tex]

                          [tex]I=\frac{T}{\beta } =\frac{rFsin\alpha }{\beta } \\where, sin\alpha =1.\\Thus,\\T=\frac{rF}{\beta } =\frac{68}{165} =0.412Nm/rad/s^2.[/tex]

Thus, we can conclude that, moment of inertia of the boxer's forearm will be, 0.412Nm/rad/sec².

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No, the light emitted from the source is not polarized

Bypassing it through a polarizing filter or other polarizing substance, light can be made polarized. After passing through a polarizing filter, the intensity of polarized light I is equal to the original intensity I0 cos2, where I0 is the original intensity and is the angle formed by the polarization's direction and the filter's axis.

Unpolarized light is diminished by a factor of 12 when it travels through a polarizer. Along the polarizer's axis, the transmitted light is polarized. The only parameter that is unaffected by any phenomenon, including reflection, refraction, interference polarization, etc., is frequency. The polarization phenomenon has no effect on light frequency.

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Martha's power is 1,300 W and is denoted as option A.

This is defined as the amount of energy used or transferred per unit time and the S.I unit is Watts.

Power = Work/ time

Work = force × distance

          = F = ma = 75kg× 10m/s² = 750N

    Work = 750N × 4m = 3000J

Power = work/time = 3000J/ 2.3s ≈ 1300W

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Answer:

[tex]250000 \frac{n}{m {}^{2} } [/tex]

Explanation:

pressure is the force applied perpendicular to the surface area of an object per unit area.

for the question,

Force (F) = 5000N

[tex]Area = 200cm {}^{2} = 0.02m {}^{2} \\ Pressure = \frac{force}{area} \\ Pressure = \frac{5000}{0.02} \\ Pressure = 250000 \frac{n}{m {}^{2} } [/tex]

Answer:

Here! Try this Website!: www.britannica.com › science › physical-science physical science | Definition, History, & Topics | Britannica. So you will learn a lot more about science, history, and topics about it!

Answer:i have no idea

Explanation:

The initial temperature of the metal was 94.24⁰C.

The initial temperature of the metal is calculated as follows;

Q = mcΔθ

where;

Δθ = Q/mc

Δθ = (3,300) / (0.854 x 150)

Δθ = 25.76⁰C

Δθ = T₂ - T₁

T₁ = T₂ - Δθ

T₁ = 120 - 25.76

T₁ = 94.24⁰C

Thus, the initial temperature of the metal was 94.24⁰C.

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By using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

To find the answer, we need to know about Myopia and Hyperopia.

Thus, we can conclude that, by using concave lens, we can correct Myopia and Hyperopia can be corrected by convex lenses.

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Myopia can be corrected using concave lenses, while the Hyperopia is corrected by convex lenses.

We need to be aware of myopia and hyperopia in order to locate the solution.

Thus, we can deduce that myopia and hyperopia can be corrected using concave lenses and convex lenses, respectively.

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The reasons  for the discrepancy in the experimental density of the unknown liquid agree with the true value can be instrument not having same levels , Temperature Effects , Kind of scales used and  Shape of objects used for measure .

According to the question

Discrepancy:

The state or quality of being discrepant or in disagreement, as by displaying an unexpected or unacceptable difference; inconsistency.

Density:

Density is mass per unit volume, so when measuring density, you find the mass of the object and divide it by its measured volume.

All measurements include some uncertainty, however, and certain kinds of errors can increase the uncertainty in your calculation.

The reason of discrepancy in the experimental density of the unknown liquid agree with the true value can be:

1. Use of instrument not having same levels

2. Temperature Effects as Density varies with temperature .

3. Kind of scales used for measures

4. Shape of objects used for measure .

Hence, the reasons  for the discrepancy is instrument not having same levels , Temperature Effects , Kind of scales used and  Shape of objects used for measure .

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Answer:

An article written by a scientist .

Explanation:

Primary sources information are those that contain first  hand information probably from the place of the activities or by the original contact of the information (source ) .

So primary information is normally contained in artifact , journals , letter , dissertations manuscripts  , videos and audio recordings .

The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .

The normal force acting on April as she stands on a flat surface is 705.6 N.

Normal force of the girl

Fₙ = mg

where;

Fₙ = 72 x 9.8

Fₙ = 705.6 N

Thus, the normal force acting on April as she stands on a flat surface is 705.6 N.

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