3 years ago

Solve for x. Thank you.

Mathematics

1 answer:

Bas_tet [7]3 years ago

4 0

Answer:

D) 50/3

Step-by-step explanation:

6/10 = 10/(6+x-6)

6/10 = 10/x

6x = 100

x = 100/6

x = 50/3

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2 and 3

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Answer :
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3 years ago

Please Help! I'm stuck on this question. Show all work!

Valentin [98]

Add all the displacement vectors together, then find the magnitude of this vector sum.

$\vec r_1=(72\,\mathrm{km})(\cos60^\circ\,\vec\imath+\sin60^\circ\,\vec\jmath)$

$\vec r_2=(48\,\mathrm{km})(\cos270^\circ\,\vec\imath+\sin270^\circ\,\vec\jmath)$

$\vec r_3=(100\,\mathrm{km})(\cos150^\circ\,\vec\imath+\sin150^\circ\,vec\jmath)$

Summing these vectors gives the resultant displacement

$\vec r=\vec r_1+\vec r_2+\vec r_3\approx(-50.6\,\vec\imath+64.4\,\vec\jmath)\,\mathrm{km}$

and we have

$\|\vec r\|=\sqrt{(-50.6)^2+64.4^2}\,\mathrm{km}\approx\boxed{81.9\,\mathrm{km}}$

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