X and Y are supplementary, that means X + Y = 180.
But we have, X = Y +24, then
X + Y = Y + 24 + Y = 2Y + 24 = 180
Then
2Y = 156
Y = 78
Then X = 78 + 24 = 102.
Answer:
The amount of invested money after a period of 4 years:
A = 200 x (1 + 9/100)^4 = 282.32 dollar
Hope this helps!
:)
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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24/7 = 180/x....24 ft to 7 seconds = 180 ft to x seconds
cross multiply
(24)(x) = (180)(7)
24x = 1260
x = 1260/24
x = 52.5....so it will take 52.5 seconds
Answer:
Step-by-step explanation:
Recall the Exponent Law:
Solution:
