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3 years ago

Find X, round your answer to the nearest tenth of a degree.

Mathematics

2 answers:

juin [17]3 years ago

7 0

Answer:

x ≈ 63.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{51}{25}$ , thus

x = $tan^{-1}$ ( $\frac{51}{25}$ ) ≈ 63.9°

Anna [14]3 years ago

5 0

Answer:

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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Initial mass of the isotope = x

Time taken by the sample to decay its mass by 35%= t

Formula used :

$N=N_o\times e^{-\lambda t}\\\\\lambda =\frac{0.693}{t_{\frac{1}{2}}}$

where,

$N_o$ = initial mass of isotope = x

N = mass of the parent isotope left after the time, (t) = 65% of x = 0.65x

$t_{\frac{1}{2}}$ = half life of the isotope = 4.5 billion years

$\lambda$ = rate constant

Now put all the given values in this formula, we get

$0.65x=x\times e^{-(\frac{0.693}{\text{4.5 billion years}})\times t}$

t = 2.8 billion years

The age a rock is 2.8 billion years.

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4 years ago

Find X, round your answer to the nearest tenth of a degree. ​

Find X, round your answer to the nearest tenth of a degree.