Mixed number form:2 1/6 Decimal form:2.16 exact form: 13/6
Answer:
josh is 11 and billy is 15
Step-by-step explanation:
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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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If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Amber travels at a speed 60 mph, hence the time taken (t) is:
60 = 240/t
t = 4 hours
If he leaves 15 minutes earlier, the time would be 4 hr + 0.25 hr (15 min) = 4.25 hr, hence:
Speed = 240 miles / 4.25 hr = 56.47 mph
If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber
Find out more on equation at: brainly.com/question/2972832
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