Answer:
<u><em>The length of AD is 32 feet</em></u>
Step-by-step explanation:
<u>Proportional distances
</u>
When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length
Let's call x the length of AD. Given C is the midpoint of AD, then

Given B is the midpoint of AC, then

If we know BC=8 feet


The length of AD is 32 feet
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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Answer:
9√2
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact form:9√2
Decimal form: 12.72792206
Please, share the goal of the problem. If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?
Subtract 15% from 100%; the result is 85%. Now find 85% of 40 hours:
0.85(40 hours) = 34 hours.
Please note that I invented part of this problem. Next time, share all of the info so that someone can help you solve YOUR particular problem.