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2 years ago

20. Rafael has a business selling computers. He buys computers from the manufacturer for $450

Mathematics

1 answer:

Licemer1 [7]2 years ago

4 0

Answer: D , p = n (800 - 450) - 3000

Step-by-step explanation: Firstly, you have to account for how much money Rafael is making off of each computer (800 - 450). That factor is then multiplied by the variable "n" which represents the amount of computers sold. Lastly, since this is an equation to calculate his monthly profits, you have to subtract the rent that he is paying ($3000) from the total profit that he made off of selling the computers. Therefore, giving you the equation

P (profit) = n (amount of computers sold) (800-450) - 3000 (rent).

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We're going to use the distance formula to find the length of the sides:

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$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

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$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

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Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

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$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

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this can also be checked using the fact the sum of all angles inside a triangle is 180

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$180$

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