3 years ago

How to find components of a vector given magnitude and angle?

1 answer:

3 0

1. Find the magnitude and direction angle of the vector.
2. Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis.
3. Find the component form of the sum of two vectors with the given direction angles.

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Ming's DVD collection includes 16 adventures movies, 7 comedies, 12 westerns, and 8 mysteries. He wants to keep 8 of the DVDs an

alina1380 [7]

43 total movies the type of movies is added in to confuse you pay no ttention just add the total. he keeps 8 of them
43 - 8 = 35

he gives them to 5 friends

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each friend would get 7 each

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3 years ago

4. solve e) 4^x-10.2^x+16=0 I think the dot means multiply?

suter [353]

$4^x-10\cdot2^x+16=0\Rightarrow(2^2)^x-10\cdot2^x+16=0\Rightarrow(2^x)^2-10\cdot2^x+16=0$

$subtitute\ 2^x=t > 0\\\\t^2-10t+16=0\\t^2-2t-8t+16=0\\t(t-2)-8(t-2)=0\\(t-2)(t-8)=0\iff t-2=0\ or\ t-8=0\\\\t=2\ or\ t=8\\\\t=2^1\ or\ t=2^3\\\\therefore\ 2^x=2^1\ or\ 2^x=2^3\\\\Answer:\boxed{x=1\ or\ x=3}$

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3 years ago

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avanturin [10]

Each individual contributed $x
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