Jonathon drove 220 miles in 4 hours. assuming that he drives at the same rate, how far will he travel in 7 hours?

Mathematics

1 answer:

Art [367]3 years ago

3 0

220miles / 4 hours = 55 miles/hr

55mi/hr x 7hrs = 385 miles

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Answer:

See Explanation

Step-by-step explanation:

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