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Luda [366]
2 years ago
5

3liters of juice to the ratio 5:3:4

Mathematics
1 answer:
Radda [10]2 years ago
6 0

Step-by-step explanation:

Let 3 litres of juice be divided into 5x, 3x and 4x parts.

\therefore \: 5x + 3x + 4x = 3 \: litres \\  \therefore \: 12x = 3000 \: ml\\ \therefore \: x =  \frac{3000}{12}  \\ \therefore \: x =  250 \: ml \\  \therefore \: \\  5x = 5 \times 250 = 1250 \: m = 1.25 \: l \\ 3x = 3\times 250 = 750 \: ml  = 0.75 \: l\\ 4x = 4 \times 250 = 1000 \: ml  = 1 \: l\\

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<h3>Answer:  approximately 6.3 miles</h3>

=================================================

Explanation:

See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A

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Then we use the law of sines to find the side length c

sin(A)/a = sin(C)/c

sin(55)/15 = sin(20)/c

c*sin(55) = 15*sin(20) ... cross multiply

c = 15*sin(20)/sin(55)  .... divided both sides by sin(55)

c = 6.26294249724791 .... value is approximate

c = 6.3 ....... rounding to one decimal place

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2 years ago
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1 year ago
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