If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?

Mathematics

2 answers:

Elenna [48]3 years ago

4 0

Answer:

350 hours

Step-by-step explanation:

AlexFokin [52]3 years ago

3 0

12/6 = 2
700/2 = 350
There are double the amount of workers so it is half the time.

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If A+B= 45° then prove that: tanA+ tanB+ tanA. tanB

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Answer:

See Explanation

Step-by-step explanation:

$A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved$