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2 years ago

A and B are two cities.

Mathematics

1 answer:

Yuri [45]2 years ago

5 0

<h2><u>Answer: </u></h2>

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

The reason for approximation is from distortion of image.

See attached image to understand ohw the measurement has been obtained.

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Marvin earned $2 less than twice the amount he earned last

Evgen [1.6K]

Answer:

2x-2 = 23

2x = 25

x=25/2 = 12.5

Step-by-step explanation:

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3 years ago

Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.

Viefleur [7K]

Kinetic energy possessed by moving train is $E_k = 150000J$ .

And mass $m = 10000kg$ .

The formula for kinetic energy is $E_k = \frac{m\times v^2}{2}$ .

Solve for velocity:

$E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2$

$v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}$

Now put in the data:

$v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}$

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3 years ago

Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).

aniked [119]

Parameterize the surface by

$\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)$
$\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)$

where $(s,t)\in(0,1)\times(0,1)$ . We have

$\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s$

The surface integral is then

$\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds$
$=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)$
$=\dfrac{\sqrt{181}}3$

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3 years ago

Write an integer for this situation: a profit of $12

finlep [7]

Answer:

+12

Step-by-step explanation:

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2 years ago

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stepan [7]

Did you not learn to factor?

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3 years ago