Bike~ $77.50
Scooter~ $320.00
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20 bicycles and 3 scooters
Answer:
17 in.
Step-by-step explanation:
There are two same angles shown, so two sides are equal. We can form an equation x+4=4x+1. Solution is x=1, then both unknown sides are 5 in. long. Given all side lengths we add them 7+5+5+15 getting the perimeter.
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:
C. 130
Step-by-step explanation:
Since the sum of the interior angles for a quadrilateral shape is 360 degrees, you take 55 and 45 away from 360 to get 260. You need to then divide that number by 2 to get Q and S, but you are looking for Q in this case, so the answer is 130.
Answer:
y = 3(x + 6)/2
Step-by-step explanation:
I'm assuming that you meant y = (2/3)x - 6.
If that's correct, start by interchanging x and y, obtaining:
x = (2/3)y - 6
Next, solve for y: (2/3)y = x + 6. Multiplying both sides of this equation by (3/2) isolates y, as desired, and results in:
y = 3(x + 6)/2. This is the inverse of y = (2/3)x - 6.
