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3 years ago

How to find unknown side

Mathematics

1 answer:

Elan Coil [88]3 years ago

3 0

Answer:

C = 10

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2}$

You have a and b already, a = 6, b = 8

$6^{2} +8^{2} =c^{2} \\\\$

solve this to get

$64 + 36 = \sqrt{100}$

C = 10

Apply the same to the other 2 triangles. C is your longest side!

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Curium-243 has a half-life of 28.5 days. In a sample of 5.6 grams of curium-243, how many grams will remain after 12 days?

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Answer:

C.4.18g

The amount will remain after 12 days is 4.18 g

Step-by-step explanation:

we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

where

h is half life time

t is time in days

Po is initial quantity

P(t) is the quantity after t days

we are given

Curium-243 has a half-life of 28.5 days

$h=28.5$

In a sample of 5.6 grams of curium-243

so,

$P_0=5.6$

now, we can plug values

$P(t)=5.6(\frac{1}{2})^{\frac{t}{28.5} }$

now, we can plug t=12

$P(12)=5.6(\frac{1}{2})^{\frac{12}{28.5} }$

$P(12)=4.18253$

So,

The amount will remain after 12 days is 4.18 g

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