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Vanyuwa [196]
3 years ago
8

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y

when it contains x cups of water?
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
The slope would be 2/3 because that would leave pounds when multiplied by cups.

add 0.5 for the weight of the water jug

y = (2/3)x + 0.5
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Answer:

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\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

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Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

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