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frosja888 [35]
3 years ago
5

The mass of 4 large zucchini is about 2 kilograms. About how many grams will 1 large zucchini have?

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem:

 -<span>The mass of 4 large zucchini is about 2 kilograms.

 2. Then, you have:

 1 kilogram-----1000 grams
 2 kilograms--..x

 x=2x1000/1
 x=2000 grams

 3. Then, you have:

 4 large zucchini----2000 grams
 1 large zucchini----x

 x=2000/4
 x=500 grams

 The answer is: 500 grams



</span>
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Answer:

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4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

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and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

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<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
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i) 2x + 2y = 8

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<span>
use equation ii) to write y in terms of x as : y=4-x, 

substitute y =4-x in equation i):

</span>2x + 2y = 8
2x + 2(4-x) = 8
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this is always true, which means the equations have infinitely many common solutions.


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