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Leokris [45]
3 years ago
13

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

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we are given

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h=28.5

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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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