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Ksivusya [100]
3 years ago
9

It is question number 32 is am looking for please help thanks

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Answer:

64 cm²

Step-by-step explanation:

When a square is folded in half the resultant shape is a rectangle

With length equal to the side of the square and width half the side of the square.

let the length be x then the width is 0.5x

Form an equation and solve for x

x + x + 0.5x + 0.5x = 24 ← Perimeter of rectangle

3x = 24 ( divide both sides by 3 )

x = 8

Thus the side of the original square is 8 cm and

area = 8 × 8 = 64 cm²

vazorg [7]3 years ago
5 0

<em>Answer:</em>

<em>The answer for this question is : 64cm²</em>

<em>Step-by-step explanation:</em>

<em>Firstly, Let the side of the square be "x"</em>

<em>When the paper is folded the resultant rectangle will have the same length as the side of the square and the width 1/2 of the square side.</em>

<em>So perimeter of the rectangle is :</em>

<em>x+ \frac{x}{2} + x + \frac{x}{2}</em>

<em>3x = 24</em>

<em>x = 8</em>

x^{2} = 24cm²

<em>The area of the original paper is 8 × 8 = 64cm²</em>

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Romashka [77]
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3 years ago
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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

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Step-by-step explanation:

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<em />

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