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Sergio [31]
3 years ago
13

The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer: y=s^2/36 and y=5.7;s=14.3ft or A

Step-by-step explanation:

xxMikexx [17]3 years ago
7 0

Answer:

Y=s^2/36 and y=5.7;14.3 ft

Step-by-step explanation:

The question was not typed correctly. Here, a better version:

<em>The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane for a standard wing area, the function A(s)=s^2/36 can be used to find the aspect ratio depending on the wingspan in feet. If one glider has an aspect ratio of 5.7, which system of equations and solution can be used to represent the wingspan of the glider? Round solution to the nearest tenth if necessary.  </em>

<em> </em>

<em>Y=s^2/36 and y=5.7;14.3 ft </em>

<em>Y=5.7s^2 and y=36; s=2.5ft </em>

<em>Y=36s^2 and y=0; s=0.4 ft </em>

<em>Y=s^2/36 +5.7 and y=0; s=5.5 ft</em>

In the function A(s)=s^2/36 A(s) represents the aspect ratio and s the wingspan. If one glider has an aspect ratio of 5.7, then A(s) = 5.7. We want to know the wingspan of the glider. Replacing A(s) by Y we get the following system of equation:

Y=s^2/36    

with y = 5.7

5.7 = s^2/36    

5.7*36 =  s^2

√205.2 = s

14.3 ft

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Longer leg = x + 4

Shorter leg = x

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Using Pythagorean Theorem:

a^2 + b^2 = c^2

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x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

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x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

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x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

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