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katrin [286]
3 years ago
7

A pyramid has a square base that is 160 m on each side. What is the perimeter of the base in kilometers? Question 19 options:

Mathematics
1 answer:
vekshin13 years ago
8 0

Answer:

0.64 kilometres

Step-by-step explanation:

<u>Step 1: Find the perimeter in metres</u>

Perimeter of square = 4 x (Length)

Perimeter = 4 (160)

Perimeter = 640 metres

<u>Step 2: Convert from metre to kilometre</u>

1 km = 1000 m

x km = 640 m

<em>Cross multiply</em>

1000x = 640

x = 0.64 kilometres

Therefore, the perimeter of the square base is 0.64 kilometres.

!!

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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.

             

4 0
3 years ago
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