<span>Answer: 18/25 ; or, write as: 0.72 .
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Explanation:
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9/20 * 4/5 = (</span>9*4) / (10*5) = 36/50 ;
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36/50 = </span>(36÷2) / (50÷2) = 18/25 ; or, write as: 0.72 .
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You should have a calculator on your phone or pc.
2098800
base, b = 45m
angle of elevation, aoe = 82deg
height at 86th floor, h1
height above 86th floor, h2 = 123m
total height, h = h1 + h2
using
tan (aoe) = h1/b
=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2
h = h1 +h2 = 320.2 + 123 = 443.2m
As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

As for the range, we have:
- The range of
are all real numbers - If we change to
we're translating the function horizontally, so the range remains the same - If we change to
we're stretching the function horizontally, so the range doesn't change - If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.