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Paraphin [41]
4 years ago
5

Ramil and Carly collected the honey from 4 of his beehives. From the first hive collected 1/3 gallons of honey. The last hives y

ielded 1/4 gallon each. How many gallons of honey did Ramil and Carly collect in all?
Mathematics
1 answer:
BaLLatris [955]4 years ago
6 0

Answer:

We know that:

  • First hive gave 1/3 gallon.
  • The other three hives gave 1/4 gallon each.

To find the total gallons of honey, we just have to sum all of it.

H=\frac{1}{3}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}\\H=\frac{1}{3}+3\frac{1}{4}\\H=\frac{1}{3}+\frac{3}{4}\\H=\frac{4+9}{12}=\frac{13}{12}

As a mixed number:

\frac{13}{12}=1\frac{1}{12}

Therefore, Carly collected 1 and 1/12 gallons. Or, 1.08 gallons in total.

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<span>______________________________________________________</span>
m∡A = 17° ;
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m∡C = 26° ;
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Explanation:
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Note:

The law of sines:

(sin A) / a = (sin B) / b = (sin C) / c ;
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sin C = (0.0487141685758571) * (9) ;

sin C =  0.4384275171827139 ;

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arc sin (C) = arc sin ( 0.4384275171827139) ;

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If all angles of a triangle add up to 180 degrees: then:

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Subtract "163" from each side of the equation; to isolate "A" on one side of the equation; and to solve for "A" ;

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(sin A) / a = (sin B)/ b ;

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(0.0487141685758571) a = (sin 17) ;

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[(0.0487141685758571)a ] / (0.0487141685758571) = 

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