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2 years ago

Confused on the function and method for this... help me out please.

Mathematics

1 answer:

mezya [45]2 years ago

8 0

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{7.5}{22.3}$ , then

∠ YZX = $sin^{-1}$ ( $\frac{7.5}{22.3}$ ) ≈ 19.7° ( to 3 significant figures )

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8. A substance has a half life of 2.347 minutes.

mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

$A=A_0b^{\frac{t}{c}}$

Where $A$ is the final population

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b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to $\frac{t}{c}$ .

Putting the values in the formula, we get:

$6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4$

Therefore, the answer is:

4 half lives have passed.

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Answer:

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Step-by-step explanation:

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