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Sonja [21]
3 years ago
8

S = 2πrh + 2πr², for h

Mathematics
1 answer:
diamong [38]3 years ago
6 0

Answer:

Step-by-step explanation:

This is a literal equation, and for some reason, students literally freak out about solving them.  We will isolate h the same way we would if we were solving an equation for x.  In order to get the term with the h in it all by itself, we have to move everything else away from that term.  The 2πr² is added on the left, so we will move it by subtracting it from both sides, giving us

S-2\pi r^2=2\pi rh

Then we need to get the h alone.  Everything on the right side of the equals sign is multiplied together, so the "undoing" of multiplication is division, so that's what we'll do.  Divide everything away from the h:

\frac{S-2\pi r^2}{2\pi r}=h

which is choice C.

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Answer:

Vel_jet_r =  (464.645 mph)  North + (35.35 mph) East

||Vel_jet_r|| =  465.993 mph

Step-by-step explanation:

We need to decompose the velocity of the wind into a component that can be added  (or subtracted from the velocity of the jet)

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Vel_ wind = 50 cos(45) mph  East  -  50 sin (45) mph North

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An the jet has a magnitude velocity of

||Vel_jet_r|| =  sqrt ((464.645 mph)^2 + (35.35 mph)^2)

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