You have $20 in your wallet. you are out shopping at a video store with a friend, and see a dvd you want, but it costs $32.

Mathematics

1 answer:

fredd [130]3 years ago

5 0

Given:

20$

DVD cost = 32$

Friend’s loan = 12$ (since he loaned you enough money to be able to pay for the DVD)

Find:

available funds after you buy the DVD = ?

Solution:

First, we add your current funds with the money your friend loaned you:

20$ + 12 $ (we will assume this amount since the problem states that he loaned you just enough money to pay for the DVD) = 32$

Next, we subtract the total amount of the DVD cost to the total amount of money you have right now:

$32 (DVD cost) - $32 (your total funds) = $0

Therefore, your available funds after buying the DVD is $0. But if we will take into consideration the amount you loaned from your friend by subtracting it to your remaining funds, then you’ll have $0 - $12 = $-12, which is your debt.

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A. An angle that measures $\frac{\pi}{6}$ radians also measures $30^o$

C. An angle that measures $180^o$ also measures $\pi$ radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

$\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians$

Therefore we can investigate each of the statements, and find that when we have a $\frac{\pi}{6}$ radians angle, then its degree formula becomes:

$\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o$