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ki77a [65]
1 year ago
7

How much of the initial mass remains after 80 years? (Round your answer to three decimal places.)

Mathematics
1 answer:
aleksandr82 [10.1K]1 year ago
4 0

Given

y=11(\frac{1}{2})^{\frac{t}{30}}

When t = 80

We substitute for t

y=11(\frac{1}{2})\frac{}{}^{\frac{80}{30}}

Simplify

y=11(\frac{1}{2})^{\frac{8}{3}}

Simplify further

y=1.732g

The final answer

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tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
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51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
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x = 5.877850926117

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