Can somebody help me with this!?

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

Answer:

24 $\pi$ /5

Step-by-step explanation:

The way I think about areas of sectors is a fraction of the pie. You know what percentage of the "pie" (in this case, circle) you want, because they give you the angle of the sector and you know a circle always has 360°. So technically, you're trying to find 48/360 th of the entire area (36 $\pi$ ). If you're using a calculator, it doesn't matter if you simplify the fraction, but if you're doing it by hand simplifying makes everything a lot easier.

The equation will be:

Area = 24/180 × 36 $\pi$

= 2/15 × 36 $\pi$

= 72 $\pi$ /15

= 24 $\pi$ /5

I hope this helped! Also, in Khan Academy, when you get an answer wrong/right, you can view their explanation by clicking "hint" or sometimes "see how we did it" shows up.

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1 mile = 5,280 feet.

Convert the 0.25 mile to feet:

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Add the soda shop distance to this:

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Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

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After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

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