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Damm [24]
3 years ago
11

Help with the whole thing please and thanks

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

1a. closest to 1

b. closest to 0

2a. closest to 1

b. closest to 1/2

Numb 3. Ain't clear.

4. Not sure.

5a. closer to 1

b.closer to 1/2

c. 3/4 - 5/12 = 1/3

6. 26/15

7. 7/18

8. 47/240

9. 191/225

10. 11/60

11. 81/200

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Answer:

Answers:

Expression is

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fractional part = 4/19

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

Explanation:

Let's convert the mixed number  to an improper fraction

Do the same for the other mixed number.

We'll divide those two improper fractions to find the number of pieces

Then let's convert that to a mixed number like so:

Or you could note that 61/19 leads to 3 remainder 4.

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-----------------------------

Here's another way to look at it.

Grab a footlong ruler and split it into 4 equal smaller lengths. I'll refer to these smaller pieces as "quarters" from now on.

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The same idea would apply to

The overall entire board is 61 quarters long, and each piece is 19 quarters long. So that means 61/19 = 3 & 4/19 represents the number of pieces we can cut.

Step-by-step explanation:

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% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
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\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
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sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
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\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
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a=adjacent\\
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\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
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