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CaHeK987 [17]
3 years ago
14

ALGEBRA Find x and the measures of the unknown sides of each triangle.

Physics
1 answer:
valentina_108 [34]3 years ago
3 0

9514 1404 393

Answer:

  12.  x = 11; sides are 29

  13.  x = 5; sides are 25

Explanation:

12. The marked sides are equal length, so ...

  3x -4 = 2x +7

  x = 11 . . . . . . . . add 4-2x

  2x+7 = 2(11)+7 = 29 . . . side lengths

__

13. The marked sides are equal length, so ...

  6x -5 = 5x

  x = 5 . . . . . . . add 5-5x

  5x = 5(5) = 25 . . . side lengths

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A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed
yuradex [85]

(a) 0.0068 Wb

Since the plane of the coil is perpendicular to the magnetic field, the magnetic flux through the coil is given by

\Phi = NBA

where

N = 200 is the number of loops in the coil

B is the magnetic field intensity

A=8.5 cm^2 = 8.5\cdot 10^{-4} m^2 is the area of the coil

At the beginning, we have

B_i = 0.060 T

so the initial magnetic flux is

B_i = (200)(0.060 T)(8.5\cdot 10^{-4} m^2)=0.0102 Wb

at the end, we have

B_f=0.020 T

so the final magnetic flux is

B_f = (200)(0.020 T)(8.5\cdot 10^{-4} m^2)=0.0034 Wb

So the magnitude of the change in the external magnetic flux through the coil is

\Delta \Phi = |\Phi_f - \Phi_i|=|0.0034 Wb-0.0102 Wb|=0.0068 Wb

(b) 0.567 V

The magnitude of the average voltage (emf) induced in the coil is given by Faraday-Newmann law

\epsilon= \frac{\Delta \Phi}{\Delta t}

where

\Delta \Phi = 0.0068 Wb is the variation of magnetic flux

\Delta t = 12 ms = 0.012 s is the time interval

Substituting into the formula, we find

\epsilon=\frac{0.0068 Wb}{0.012 s}=0.567 V

(c) 0.142 A

The average current in the coil can be found by using Ohm's law:

I=\frac{V}{R}

where

I is the current

V is the voltage

R is the resistance

Here we have:

V = 0.567 V (induced voltage)

R=4.0 \Omega (resistance of the coil)

Solving for I, we find

I=\frac{0.567 V}{4.0 \Omega}=0.142 A

7 0
3 years ago
A string is waved up and down to create a wave pattern with a wavelength of 0.5 m. If the waves are generated with a frequency o
Pachacha [2.7K]

Answer:

1m/s

Explanation:

Speed of a wave is expressed as;

Speed = frequency × wavelength

Given

Frequency = 2Hz

Wavelength = 0.5m

Required

Speed of the wave

Substitute

Speed = 2×0.5m

Speed = 1.0m/s

Hence the speed is 1.0m/s

6 0
2 years ago
Find the components to write this vector in unit vector notation: 63.5 A ​please help
IrinaVladis [17]

Vector is perpendicular to x axis or i component.

Hence i component is 0

j component is 63.5

\\ \sf\longmapsto \overrightharpoon{A}=0\hat{i} +63.5\hat{j}

6 0
3 years ago
How does your education contribute to comunity development
Angelina_Jolie [31]
Because everybody in community needs to be smart & have some type of knowledge
4 0
3 years ago
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
zimovet [89]

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 = \frac{sin \ \theta}{cos \ \theta} = 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

3 0
2 years ago
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