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Olegator [25]
3 years ago
5

An airplane travels 460 miles from San Diego to San Francisco in 2.5 hours, going against the wind. The return trip is with the

wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
Please & Thanks! <3
Mathematics
1 answer:
hammer [34]3 years ago
5 0
Distance=rate times time
distance=460
rate-wind=rate against wind
rate+wind=rate with wind
2.5=time aginst wind
2=time with wind
so
460=(rate-wind) times 2.5
and
460=(rate+wind) times 2

solve for rate
460=(rate-wind) times 2.5
divide both sides by 2.5
184=rate-wind

460=(rate+wind) times 2
divide by 2
230=rate+wind

we have
184=rate-wind
230=rate+wind
add them

184=rate-wind
<u>230=rate+wind +
</u>414=2rate+0wind
414=2rate
divide by 2
207=rate

answer is 207 miles per hour
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The inequality for the red portion is,

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(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

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Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

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__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

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