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Lemur [1.5K]
2 years ago
11

Please look at picture and help

Mathematics
1 answer:
White raven [17]2 years ago
5 0

The area of the polygon with the given vertices is of 7.5 square units.

<h3>What is the area of a right triangle?</h3>

The area of a right triangle is given by half the multiplication of the lengths of it's sides.

The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:

A = 0.5 x 3 x 5 = 7.5 square units.

More can be learned about the area of a right triangle at brainly.com/question/17335144

#SPJ1

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the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?​
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Answer:

About 0.6548 grams will be remaining.  

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is:

f(t)=a(r)^t

The original sample contained 510 grams. So, a = 510.

Each half-life, the amount decreases by half. So, r = 1/2.

For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.

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\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}

One year has 365 days.

Therefore, the amount remaining after one year will be:

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Alternatively, we can use the standard exponential growth/decay function modeled by:

f(t)=Ce^{kt}

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After one half-life (38 days), the remaining amount will be 255. Therefore:

255=510e^{38k}

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Thus, our function is:

f(t)=510e^{t\ln(.5)/38}

Then after one year or 365 days, the amount remaining will be about:

f(365)=510e^{365\ln(.5)/38}\approx 0.6548

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