Answer:
17.75 miles per hour
Step-by-step explanation:
14.2 divided by 0.8
Assuming they start saving at 0 dollars
45=total=duanesavings+micksavings
duanesavings=confusing, I will explain
mick savings =amount saves per week times number of weeks
duane saves 5 dollars every other week, aka 2.5 dollars per 1 week
DS=2.5w
MS=2w
since they save at same time and at that week, when the weeks are equal (w=w), 45 it total
DS+MS=45
2.5w+2w=45
4.5w=45
divide by 4.5 both sides
w=10
10 weeks
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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I think it’s A but I’m not sure