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Sphinxa [80]
4 years ago
7

25POINTS!!!

Mathematics
1 answer:
irina [24]4 years ago
5 0

Answer:

10.8 cm

Step-by-step explanation:

Using cosine law

g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)

g² = 116.7018433

g = 10.80286274

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
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Answer:

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Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

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since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

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reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

hence, the remaining sample after 420 days is 0.625 kg

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