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olga2289 [7]
3 years ago
6

Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. round to the

nearest tenth.
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0
Simple! In order to find the answer you'd take your current ratio (1:4) and you'd find the equivalent of that when your ratio is (x:2). So you'd set up a fraction and cross multiply.

[1/4 = x/2]  → [2 = 4x]

Then you solve for x by dividing both sides by 4.

[2 = 4x] → x = 2/4 or x = .5

The answer is .5 centimeters.
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\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=6&#10;\\\\&#10;thus&#10;\\\\&#10;t=60-30 cos (6 \frac{\pi}{6})\implies t=60-30 cos (\pi )&#10;\\\\&#10;t=60-30[-1]\implies t=60+30\implies t=90

----------------------------------------------------------------------------------------
so...for August, that'll mean


\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=7&#10;\\\\&#10;t=60-30 cos (\frac{7\pi}{6})\implies t=60-30\left( -\cfrac{\sqrt{3}}{2} \right)&#10;\\\\&#10;t=60+(15\cdot \sqrt{3})\implies t\approx85.98^o


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