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Marat540 [252]
3 years ago
10

Helpppppp pleaseeee I have to ansswer Find the area of the shaded region

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0

Answer:

Area = 6.6 cm²

Step-by-step explanation:

Area of the shaded region =

  Area of Rectangle - Area of Trapezoid - Area of circle - Area of Triangle

Area of rectangle = Length x Breadth

                            = 3 x ( 1.5 + 2 + 1.5)

                            = 3 x 5

                            = 15 cm²

Area of the trapezoid = h x ( a + b )/2

                                   = 1.5 x ( 3 + 1)/2

                                   = 1.5 x 2

                                   = 3 cm²

Area of the circle = π x r²

                            = 3.14 x 1           [diameter, d = 2 cm, r = d/2 =1]

                            = 3.14 cm²

Area of triangle = (1/2) x base x height

                         = (1/2) x 3 x 1.5

                         = 2.25 cm²

Area of the shaded region = 15 - 3 - 3.14 - 2.25  

                                           = 6.61 cm²

                                           = 6.6 cm ²      [ round to nearest tenth ]

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Step-by-step explanation:

Given

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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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