fathimasaynas2975
31.01.2020 •
Mathematics
Rosa works due north of home. her husband juan works due east. they leave for work at the same time. by the time rosa is 7 miles from home, the distance between them is one mile more than juan's distance from home. how far from home is juan?
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Ответ:
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
a = 24 mi, Juan's distance from home
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Ответ:
Runner Speed = 200/21.3 = 9.4 m/s
Swimmer Speed = 1.8 m/s
9.4 - 1.8 = 7.6 m/s
C