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3 years ago

33-7r = 3(6-4r) what does r equal?

1 answer:

8 0

33-7r = 3(6-4r)
33 - 7r = 18 - 12r
33 -7r + 7r = 18 - 12r + 7r
33 = 18 - 5r
33 - 18 = 18 - 5r - 18
15/5 = 5r/5
3 = r
r = 3

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Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

Solution:

We have to find the distance between two landmarks

Use the law of cosines

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

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3 years ago

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mario62 [17]

Answer:

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In order to get one cup of cranberry juice, you would need to add the ratio, 1/4, four times. Since for every 1/4 cup of cranberry juice there is 1/2 cup of apple juice, add 1/2 four times

1/2 + 1/2 + 1/2 + 1/2 = 4/2 = 2 cups

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barxatty [35]

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