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Igoryamba
3 years ago
13

A cable television repairman charges $35 to go to a customer’s home. He charges an additional $20 per hour for the repair. Petra

paid the repairman a total of $85 to come to her home and make a repair. How many hours did it take for the repairs?
Mathematics
2 answers:
valentinak56 [21]3 years ago
5 0

Answer: It took 2 and a half hours for the repairs

Step-by-step explanation:

subtract 35 dollars from the total payed of 85 dollars you're left with 50 dollars we know the repairman charges and extra 20 dollars for every hour he's doing the repairs divide the 50 dollars more she had to pay and divide it by the 20 dollars he charges per every hour he's making repairs and you'll get 2.5 hours

Aleksandr-060686 [28]3 years ago
3 0
35x20=700 then you subtract 700-85=615 that’s ur answer hope this helped☺️
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Answer:

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Step-by-step explanation:

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Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

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This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

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