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storchak [24]
1 year ago
12

there are 13 porters carrying total weight of 195 kg on an expeditioin. extra porters joined the group so, they carry average we

ight of 13kg of baggage. find the number of portes added
Mathematics
1 answer:
sweet-ann [11.9K]1 year ago
6 0

Answer: 2 porters joined the group

Step-by-step explanation:

First, you are told that "13 porters are carrying a total weight of 195kg". You can use this information to create an equation to find the average weight carried by each porter.

\frac{195 kg}{13}=15kg

^195kg (total weight) divided by 13 (the number of porters) is equal to 15kg (the average weight carried by each of the 13 porters).

You are then told that "extra porters join the group, so they carry an average weight of 13 kg of baggage". because some porters joined the group, you'll have to add p (p = number of porters) to the original equation and change the average weight from 15kg to 13kg.

\frac{195kg}{13 +p} = 13kg

^195kg (total weight) divided by 13+p (total number of porters after some joined group) is equal to 13kg (new average weight)

You can then use your new equation to solve for "p" and find the number of porters added.

p = 2

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Answer:

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Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

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\frac{5\pi}{6}=150^ \circ is in the second cuadrant, then its reference angle is 180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}

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In the smaller triangle, let y be the length of the smallest leg. Then the smallest leg in the larger triangle is 14-y.

Within the scope of the smaller triangle, we have y such that

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