label Mathematics
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Oct 14th, 2014

4.a.              6 cm on map is equal to 420 km of actual distance

6 cm = 420 km

Now         6 cm/6 = 420 km/6

1 cm = 70 km

Hence 1 cm on map is equal to 70 km in real.

b.        now the distance between two other cities is 540 km.

then       distance on map = 540/70 = 7.714 cm

5.           woman = 1.7 cm             statue = 5.3 cm

If           woman = 175 cm             statue = ?

now                1.7 : 5.3 : : 175 : x

1.7 / 5.3 = 175 / x

5.3 / 1.7 = x / 175

x = 175 * 5.3 / 1.7

x = 546 cm

Hence the statue , in real life, will be  546 cm tall.

6.          Shed window          Width = 117 cm          Height = 130 cm

doghouse window              Width = 9 cm             Height = ?

now                               117 : 130 : : 9 : x

117 / 130 = 9 / x

130 / 117 = x / 9

x = 9 * 130 / 117

x = 10 cm

c.            The height of window of model is 10 cm.

a.            Scale statement of doghouse = 90 / 15210 = 1 / 169 = 1 : 169

b.            Scale factor to build the dog house is 1 of 169 of real, which is 1/169.

7.             Front view

Side view

Top view

Oct 14th, 2014

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Oct 14th, 2014
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Oct 14th, 2014
Oct 18th, 2017
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