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3 years ago

What is the perimeter of the triangle?

Mathematics

2 answers:

romanna [79]3 years ago

6 0

Count the boxes and add the sides and the bottom and that’s the perimeter

Rasek [7]3 years ago

4 0

Answer:

36 units

Step-by-step explanation:

The short leg is 9 units and the long one is 12 units.

Use pythagorean theorem to find the hypotenuse, a² + b² = c²

Plug in the numbers: 9² + 12² = c²

81 + 144 = c²

225 = c²

√225 = c

15 = c

Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.

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The model for radioactive decay is y=y0e−kt. A radioactive substance has a half-life of 200 years. If 45 grams are present today

AnnyKZ [126]

Answer:

Therefore 25 grams will be present in 135.62 years.

Step-by-step explanation:

The model for radioactive decay is

$y=y_0e^{-kt}$

y=remaining amount of radioactive element.

$y_0$ = initial amount of radioactive element

Given that, the half life of the radioactive element is 200 years.

For half life, $y=\frac{1}{2}y_0$ , t=200 years

$y=y_0e^{-kt}$

$\Rightarrow \frac12 y_0=y_0e^{-k.200}$

$\Rightarrow \frac12 =e^{-k.200}$

Taking ln both sides

$\Rightarrow ln|\frac12 |=ln|e^{-k.200}|$

$\Rightarrow ln|\frac12 |={-k.200}$

$\Rightarrow -200k=ln|\frac12|$

$\Rightarrow k=\frac{ln|\frac12|}{-200}$

⇒ k= 0.0034657

Given that,

y= 25 gram, y₀= 45 grams

$25=40e^{-0.0034657t}$

$\Rightarrow \frac{25}{40}=e^{-0.0034657t}$

Taking ln both sides

$\Rightarrow ln|\frac{25}{40}|=ln|e^{-0.0034657t}|$

$\Rightarrow ln|\frac{25}{40}|={-0.0034657t}$

$\Rightarrow t=\frac{ln|\frac{25}{40}|}{-0.0034657}$

⇒ t= 135.62 years.

Therefore 25 grams will be present in 135.62 years.

6 0

3 years ago

I think the answer is A

olganol [36]

Answer:

yes it is

Step-by-step explanation:

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elixir [45]

386.31 Hope it helps! (:

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elena-s [515]

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nignag [31]

I’m pretty sure this is the answer,

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