The length of the slope of a mountain is 2780 m, and it makes
its base?
angle of 14.1° with the horizontal. What is the height of the mountain, relative to
Additional Materials
Reading

Answers

Answer 1

Answer:

677 m

Explanation:

Using the definition of the sine of an angle, we can write

sin 14.1 = (height of mountain) / (slope length of mountain)

sin 14.1 = H / (2780 m) ---> H = (2780 m) x sin 14.1

= 677 m

Answer 2

The height of the mountain is 677.21 m

The given parameters;

length of the slope, L = 2780 m

angle of inclination, Ф = 14.1°

let the height of the mountain, = h

A simple sketch of the problem is given below;

                    ↓P

                    ↓

                    ↓ h

                    ↓                                            14.1°

                    ↓------------------------------------------------Q

                     

A straight line  joining PQ  is  the hypotenuse of the right triangle.

The height of the right triangle is calculated as follows;

[tex]sin(14.1) = \frac{h}{PQ} \\\\\h = PQ \times sin(14.1)\\\\h = 2780 \times sin(14.1)\\\\h = 677.21 \ m[/tex]

Thus, the height of the mountain is 677.21 m

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Related Questions

The Hall effect is to be used to find the sign of charge carriers in a semiconductor sample. The probe is placed between the poles of a magnet so that magnetic field is pointed up. A current is passed through a rectangular sample placed horizontally. As current is passed through the sample in the east direction, the north side of the sample is found to be at a higher potential than the south side. Make a sketch of the situation, then decide if the number density of charge carriers is positively or negatively charged.

Answers

Answer:

the sign of these carriers is POSITIVE

Explanation:

In the effect, he found the charge carriers that were subjected to two forces, one electric and the other magnetic.

        F = F_e + F_m = q E + q v x B

bold indicates vectors

The electric field goes to the east, therefore the current also has this direction, the vector product of the velocity of the charge carriers towards the east and the magnetic field upwards, using the right hand rule a magnetic force is created towards the north if the carriers are positive.

In the exercise they indicate that the north side has a higher potential than the south side, therefore there must be an accumulation of carriers on this side that create an electric field (Hall) that is put to the magnetic force until reaching equilibrium when the total force is zero.

Therefore the sign of these carriers is POSITIVE

When oxygen in water interacts with iron it results in O A rust forming O B) a chemical change C) oxidation O D) all of the above​

Answers

correct answer is D, all of the above. Rust forming is a chemical change which is classified as oxidation

what must happen for a electromagnet to have a magnetic field

Answers

By simply wrapping wire that has an electrical current running through it around a nail, you can make an electromagnet. When the electric current moves through a wire, it makes a magnetic field. If you coil the wire around and around, it will make the magnetic force stronger, but it will still be pretty weak.

A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec) 0 2 4 6
Velocity (ft/s) 87 44 16 0
Give lower and upper estimates (using all of the available data) for the distance the car traveled after the brakes were applied.

Answers

Answer:

Explanation:

deceleration during first 2 s = (87 - 44) / 2 =21.5 m /s²

deceleration during next 2 s = (44 - 16) / 2 =14 m /s²

deceleration during last  2 s = (16 - 0) / 2 = 8  m /s²

If we assume the acceleration to be uniform during 3 readings

distance travelled during first 2 s

v² - u² = 2 a s

87² - 44² = 2 x 21.5 x s

s = 7569 - 1936 / 43

= 176 m

distance travelled during next 2 s

44² - 16² = 2 x 14 x s

s =  1936 - 256  / 28

= 60 m

distance travelled during last 2 s

16² - 0² = 2 x 8 x s

s =   256  / 16

= 16 m

Total distance travelled = 176 + 60 + 16 = 252 m

If we assume the acceleration as non- uniform , we first calculate average acceleration as follows .

average acceleration = (87 - 0)/ 6 = 14.5 m /s²

v² - u² = 2 a s

87² - 0² = 2 x 14.5 x s

s = 7569  / 29

= 261  m

Hence lower estimate of distance travelled = 252 m ; upper estimate of distance travelled = 261 m .

The block A and attached rod have a combined mass of 50 kg and are confined to move along the guide under the action of the 796-N applied force. The uniform horizontal rod has a mass of 15 kg and is welded to the block at B. Friction in the guide is negligible.

Required:
Compute the bending moment M exerted by the weld on the rod at B. The bending moment is positive if counterclockwise, negative if clockwise.

Answers

Answer:

The bending moment is 459.16 N.m

Explanation:

From the given information;

Let's assume that the angle is 66°

Then, the free body diagram is draw and attached in the file below.

Now, the calculation of the acceleration from the first part of the free body diagram is:

[tex]\sum F_x = ma_x \\ \\ 796 - 50(9.81) sin 66=50a \\ \\ 796 - 448.094 = 50 a \\ \\ a = \dfrac{347.906}{50} \\ \\ a = 6.96 \ m/s^2[/tex]

Bending moment M:

From the second part of the diagram:

[tex]\sum M_B = mad \\ \\ M - (15 \times 9.81) (1.5) = (25 \times 6.96)(1.5 sin 66) \\ \\ M - 220.725 = 238.435 \\ \\ M = 238.435 + 220.725 \\ \\ \mathbf{M = 459.16 \ N.m}[/tex]

In A. C. motor capacitor is used
p.Can dicouly [BPKIHS 2000
to reduce ripples b. to decrease A. C.
c. to increase A. C. d. to decrease D. C.
a.
34​

Answers

Answer:

d. to decrease D. C.

Explanation:

d. to decrease D. C.

1. A ford engine is provided with 80,000 W power by burning its fuel. The engine produces a kinetic energy of 96 kJ for 20 seconds before its cut out.
a. Calculate the output power by the engine in watts.
b. What is the efficiency of the engine?
c. Why is there a considerable difference in the power input and output?

Answers

Answer: a) 4800 W  b) 6 %  c) most of the energy of fuel is converted to heat in combustion engine

Explanation: a) Power P = W/t = 96 000 J / 20 s = 4800 W

b) efficiency η = P(putput) / P(intake) = 4800 W / 80000 W = 0,06

what makes molecules move. A. covection. B. Radiation. C. Thermal or heat. D. conduction.​

Answers

Radiation or Conduction?

Answer:

the answer is C

Explanation:

Sodium and ice a physical or chemical reaction

Answers

Answer:

physical change uwu owo hope this helps you uwu silly goose

It’s physical reaction

a 60 kg pupil runs for 600m in 1 minute uniformly calculate kinetic energy​

Answers

velocity = traveled distance ÷ time of the traveled distance is seconds

velocity = 600 ÷ 60

velocity = 10 m/s

_________________________________

Kinetic Energy = 1/2 × mass × ( velocity )^2

KE = 1/2 × 60 × ( 10 )^2

KE = 30 × 100

KE = 3000 j

How many significant figures are in the number 54,100?

Answers

Answer:

3

Explanation:

The answer must be 3

You throw a tennis ball straight up. Air resistance can be neglected.
(a) The maximum height above your hand that the ball reaches is H. At what speed does the ball leave your hand?
(b) What is the speed of the ball when it is a height H/2 above your hand? Express your answer as a fraction of the speed at which it left your hand.
(c) At what height above your hand is the speed of the ball half as great as when it left your hand? Express your answer in terms of H.

Answers

Answer:

(a) [tex]\sqrt{2gH}[/tex]

(b) [tex]\sqrt{gH}[/tex]

(c) [tex]\frac{3u^{2}}{8g}[/tex]

Explanation:

The maximum height = H

(a) Let the speed of the ball as it leaves the hand is u.

Use third equation of motion

[tex]v^{2}=u^{2}+2as\\0 = u^{2}- 2 gH\\u=\sqrt{2 gH}[/tex]

(b) Let the speed of the ball at H/2 is v.

Use third equation of motion

[tex]v^{2}=u^{2}+2as\\v^{2} = u^{2}- 2 g\frac{H}{2}\\v^{2}=2 g H - gH = gH\\v =\sqrt{gH}[/tex]

(c) Let the height is h.

[tex]v^{2}=u^{2}+2as\\\frac{u^{2}}{4} = u^{2}- 2 gh \\\\2 g h = \frac{3u^{2}}{4}\\h =\frac{3u^{2}}{8g}[/tex]

g You shine orange laser light that has a wavelength of 600 nm through a narrow slit. The slit forms a diffraction pattern on a distant screen that has been set up behind the slit. The first dark fringe in the diffraction pattern is 4.0 cm from the center point of the pattern. If you replace the orange laser with an unknown laser and observe that the second dark fringe of the diffraction pattern appear at 4.0 cm from the center point, what is the wavelength of the unknown laser

Answers

Answer:

 λ = 3 10⁻⁷ m,   UV laser

Explanation:

The diffraction phenomenon is described by the expression

         a sin θ = m λ

let's use trigonometry

         tan θ = y / L

as in this phenomenon the angles are small

        tan θ = [tex]\frac{sin \ \theta}{cos \ \theta}[/tex] = sin θ

        sin θ = y / L

we substitute

      a y / L = m  λ

let's apply this equation to the initial data

       a  0.04 / L = 1 600 10⁻⁹

       a / L = 1.5 10⁻⁵

now they tell us that we change the laser and we have y = 0.04 m for m = 2

      a 0.04 / L = 2  λ

       a / L = 50  λ

we solve the two expression is

         1.5 10⁻⁵ = 50  λ

          λ = 1.5 10⁻⁵ / 50

          λ = 3 10⁻⁷ m

    UV laser

In a chemical reaction, substances react in a specific ratio. Chemical reactions are used to make many products, including food. For a company that carries out a chemical reaction to make a product, why would it be important to know the ratio of substances?

Answers

Answer: “Chemical equations need to be balanced in order to satisfy the law of conservation of matter, which states that in a closed system matter is neither created nor destroyed. There are some things called mole ratios, which are important because mole ratios allow you change moles of a substance to moles of another substance. The mole ratio is the magic that changes from A to B. The mole ratios come from the chemical formula or equation.”

You need to make sure you have an equal balance so that you don’t make a mistake and mess up the reaction. If anything goes minutely wrong, it may alter the substance. Knowing the ratios of substances can help to make the product as expected.

It is important to know the ratio of substances because:

Mole ratios are important because mole ratios allow you change moles of a substance to moles of another substance. The mole ratio is the magic that changes from A to B. The mole ratios come from the chemical formula or equation.The mole ratios are determined using the coefficients of the substances in the balanced chemical equation. Mole ratios are used as a means of comparison of substances in a balanced chemical equation in order to determine amounts.

Example: 2H₂ + O₂ → 2 H₂O

Learn more:

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The maximum allowable resistance for an underwater cable is one hundredth of an ohm per
meter and the resistivity of copper is 1.54 x 10-80m.
a) Calculate the smallest cross sectional area of copper cable that could be used.​

Answers

Answer:

A = 1.54 x 10⁻⁵ m² = 15.4 mm²

Explanation:

The resistance of a wire can be given by the following formula:

[tex]R = \frac{\rho L}{A}\\\\A = \frac{\rho L}{R} = \frac{\rho}{\frac{R}{L} }[/tex]

where,

A = smallest cross-sectional area = ?

ρ = resistivity of copper = 1.54 x 10⁻⁸ Ωm

[tex]\frac{R}{L}[/tex] = resistance per unit length of wire = 0.001 Ω/m

Therefore,

[tex]A = \frac{1.54\ x\ 10^{-8}\ \Omega m}{0.001\ \Omega/m}[/tex]

A = 1.54 x 10⁻⁵ m² = 15.4 mm²

Kendra wonders how she ended up with brown hair, hazel eyes, and is right handed. Using the terms amino acids, genes, proteins, and traits, explain how she ended up with these features.

Answers

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its un1) It is unofficial, but a strong rumor that the world will end in two years' time due to the arrival of a huge comet and its subsequent impact with Earth. You have two years to live, to get the most out of life. How would you react? What would you do? Discuss.​

Answers

Answer:

I'll try my utmost best to get the most out of life...I'd do the things have always wanted to do

Sometimes it might get to me knowing fully well that in two years time the world will end but i will shake it off because the time i spend thinking about it...It will be enough to make some memories.

Hope this help anyways

A truck contains both hydraulic brakes (reliability 0.96) and mechanical brakes (reliability 0.99). What is the probability of stopping the truck (i) while moving at a high speed, assuming both systems must work to avoid hitting a vehicle stalled in the roadway, and (ii) while moving at a low speed, assuming either system will stop the truck in time if they function properly

Answers

Answer:

i) 0.9504

ii) 0.0452

Explanation:

Given data: reliability of hydraulic brakes= 0.96

reliability of mechanical brakes = 0.99

So the probability of stopping the truck = 0.96×0.99= 0.9504

At low speed

case: A works and B does not

= 0.96×(1-0.99) = 0.0096

case2 : B works and A does not

= 0.99×(1-0.96) = 0.0396

Therefore, probality of stopping = 0.0096+0.0396 = 0.0492

When we experience positive "g forces", it is as if we have become...

Answers

Answer:

heavier

Explanation:

Two identical thermally insulated spherical tanks, A and B, are connected by a valve. Initially tank A contains 20mol of an ideal diatomic gas, tank B is evacuated, and the valve is closed.
If the valve is opened and the gas expands isothermally fromA to B, what is the change in the entropy of the gas?

Answers

Answer:

Explanation:

Volume of gas is doubled isothermally . Let the temperature of the gas be T .Work done by the gas

W = 2.303 nRT log 2 V / V

Since expansion is isothermal , Δ E = 0

Q = ΔE + W

Q = W

Q = 2.303 nRT log 2 V / V

Q / T = 2.303 n R log 2

Change in entropy = ΔS = Q / T = 2.303 n R log 2

= 2.303 x 20 x 8.3 x .3010 J T⁻¹.

= 115  J T⁻¹.

The required change in the entropy of the gas is 115 J/K.

Given data:

The number of moles of diatomic gas in tank A is, n = 20 mol.

The expansion takes place isothermally, which means the volume is doubled at the constant temperature. Therefore, work done during the isothermal expansion is,

W = 2.303 nRT log 2 V / V

Since expansion is isothermal , Δ E = 0. Then by using the first law of thermodynamics as,

Q = ΔE + W

Q = W

Q = 2.303 nRT log 2 V / V

Q / T = 2.303 n R log 2

Also, we that the expression for the change in Entropy is,

 ΔS = Q / T = 2.303 n R log 2

Solving as,

ΔS = 2.303 x 20 x 8.3 x .3010

ΔS = 115  J/K

Thus, we can conclude that the required change in the entropy of the gas is 115 J/K.

Learn more about the entropy change here:

https://brainly.com/question/1301642

Photons with the highest frequency have the lowest _____.
A. wavelength
B. speed
C. color
D. energy​

Answers

Answer:

a wavelength

Explanation:

please help meeeee :((((((((((​

Answers

Answer:

hello me

Explanation:

help me thisanswer

PLEASE HELP I need help bad
66. Which of the following results of correlational
studies implies that environment contributes to
the determination of IQ?
(A) Correlations are higher for identical twins
than for fraternal twins.
(B) Correlations are higher for children and their
biological parents than for children and their
adoptive parents.
(C) Correlations are higher for parents and their
children than for husbands and wives.
(D) Correlations for two children in the same
family are lower when one of the children is
adopted than when both are the biological
offspring of the parents.
(E) Correlations for children and their adoptive
parents are statistically significant and
positive.

Answers

i think the answer is B.

i believe this because the child’s brain development is proven to have changed based off separation from their biological parents, presenting a change in their environment

i hope this helps ! ♡

Correlational study involves a non-experimental study of the relationship between two variables using statistical study in the evaluation of our result.

The association between environment and IQ in the options given is best identified by the statistical significance shown in the association between children and their adoptive parent.

Correlational study involves the establishment of statistical pattern or trend using methods such as Analysis of variance. Statistical evaluation is key in establishing the outcome of a correlational study or evaluation. Since the method by which the correlation between the variables in the other options aren't stated, the best option is E.

Therefore, correlation between adoptive parent and children showing positive statistical significance implies a correlational study.

Learn more : https://brainly.com/question/17561092?referrer=searchResults

A house is advertised as having 1460 square feet under roof. What is the area of this house in square meters?

Answers

Answer: 131.92 m

Explanation: The problem give above is a conversion problem. To convert any measurement from one unit to another, we need a relation for the original units to that of the desired unit. This relation is called the conversion factor. It is used by multiplying or dividing the factor depending on what is the unit of the original measurement. For this case, we need to convert from ft^2 to m^2. The conversion factor would be 1 foot is equal to 0.3048 m. So, we would be getting the square of the factor and then multiply to the original value.

1420 ft^2 ( 0.3048 m / 1 ft)^2 = 131.92 m

An automobile traveling at a speed of 28.3 m/s applies its brakes and comes to a stop in 4.9 s. If the automobile has a mass of 1.1 x 103 kg, what is the average horizontal force exerted on it during braking? Assume the road is level.

Find Magnitude and direction
WILL GIVE BRAINLIEST​

Answers

Answer:

i say it would be 32.5 m if the brakes comes and stops.  the road is 3.7 x 105

Explanation:

Answer the following question according to formal grammatical rules.

Which of the following sentences corrects the pronoun errors in this sentence?

If a person wants to help their community, they should research opportunities.

A. If a person wants to help their community, you should research opportunities.
B. If you want to help your community, a person should research opportunities.
C. If people want to help their community, they should research opportunities.
D. If a person wants to help it, they should research opportunities.

Answers

If people want to help their community, they should research opportunities corrects the pronoun errors in this sentence.

What is a Pronoun?

This is defined as a word which is used instead of a noun and examples include he, she etc.

In this scenario, the word 'people' agrees with the possessive adjective 'their' and the personal pronoun 'they', which is referred to the third-person plural hence the reason why option C is the most appropriate choice.

Read more about Pronoun here https://brainly.com/question/26257764

Answer:

D

Explanation:

D

How do you make a mirages?​

Answers

Answer: when the ground is very hot and the air is cool. The hot ground warms a layer of air just above the ground. When the light moves through the cold air and into the layer of hot air it is refracted (bent). A layer of very warm air near the ground refracts the light from the sky nearly into a U-shaped bend.

Explanation:

When a species has no members left that are alive

Answers

Answer:

it means that species is extinct.

Explanation:

have a good day :)

I think the answer is extinct, since there are no member left that are alive of that kind of species.

“Is it true or wrong to say that an automobile at rest can be accelerating very fast? Either yes or no explain it with mathematical background

Answers

Answer:

Yes.

a = dv/dt

but v might be zero in an instant.

Take the example of a pendulum.

Acceleration is defined as the rate of change of the velocity of the body. Yes, an automobile at rest can accelerate very fast.

What is acceleration?

Acceleration is defined as the rate of change of the velocity of the body. Its unit is m/sec².It is a vector quantity. It requires both magnitudes as well as direction to define.

[tex]\rm a=\frac{dv}{dt}[/tex]

a is the acceleration of the body

dv is the change of velocity of the body

dt is the change in the time interval

The acceleration is defined as the change in velocity, and the slope of velocity is found as acceleration. It can be said that the body is at rest its velocity is zero.

The acceleration of the body can be increased when the body changes its direction. So the moment at which the body changes the direction the body is at rest after that the body can accelerate.

To learn more about acceleration refer to the link;

https://brainly.com/question/969842

help PLEASEEEEEEEEEEE

Answers

The answer is a

Explanation : a
the answer for this one is A
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