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Degger [83]
3 years ago
8

Sheldon harvests the strawberries and tomatoes in his garden.

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

A. 3 13/20

B.3.8 kg

C.Strawberries

Step-by-step explanation:

In order to solve this we just need to find the amount of strawberries he picked, and if he picked 1 2/5 less in the morning and in the morning he picked 2 1/4, we just add that up to know how much he picked in the afternoon:

1\frac{2}{5}+ 2\frac{1}{4}\\1 \frac{2(4)}{20}+ 2\frac{1(5)}{20}\\1 \frac{8}{20}+ 2\frac{5}{20}\\\\3\frac{13}{20}

So in the afternoon he picked 3\frac{13}{20}.

Now he picked 5 3/10 kg of tomatoes but 1.5 were rotten, we just have to withdraw the rotten from the total:

5\frac{3}{10} -1\frac{1}{2} \\5\frac{3}{10} -1\frac{5}{10} \\4\frac{3-5}{10} \\3\frac{13-5}{10} \\3\frac{8}{10}

So now we know that he picked 3\frac{8}{10} kg of good tomatoes.

If he picked in the afternoon and the morning 5.05 kg of strawberries, he picked more strawberries than tomatoes.

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

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\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

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The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

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