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andrew-mc [135]
3 years ago
7

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segm

ent?
The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is 1/3.
Mathematics
2 answers:
Reika [66]3 years ago
8 0

The length of the directed line segment is partitioned into the ratio of 1:3  is \boxed{{\mathbf{not\ same}}}  as the one third length of the directed line segment.

Further explanation:

Ratio is the quantitative relation between two different things.

Given:

It is given that a directed line segment is partitioned in the ratio of 1:3 .

Step by step explanation:

Step 1

The directed line segment is partitioned in the ratio of 1:3 .

First part is before the desired point and 3 parts are after the desired point.

It means that there are total 4 shares as it contains four pieces.

Step 2:

The one third length of the directed line segment means there are three shares of equal size.

Step 3:

Consider an example a cloth has length of 12cm.

Now divide the cloth into the ratio of 1:3 .

\begin{aligned}{\text{first part}}&=\frac{1}{4}\times12=3\hfill\\{\text{second part}}&=\frac{3}{4}\times12=9\hfill\\\end{aligned}

Therefore, the cloth is divided in the ratio of 1:3  as {\text{3cm, 9cm}}  

Now divide the cloth equally in three parts that is \frac{1}{3}  of the cloth.

  \frac{1}{3}\times12=4

Therefore, the cloth is divided into one third as 4{\text{cm, }}4{\text{cm}} .

Thus, it has been proved the given explanation.

Learn more:

  • Learn more about why is partitioning a directed line segment into a ratio of 1:2 not the same as finding the length of the directed line segment? <u>brainly.com/question/2389620</u>
  • Learn more about one solution contains 2 parts salt to 8 parts water, and another solution contains 3 parts salt to 5 parts water. how much of each should be mixed together in order to obtain 280 quarts of a solution that is 3 parts salt to 7 parts water? <u>brainly.com/question/3757441o </u>
  • Learn more about the whole value of   for which the solution of the equation <u>brainly.com/question/11744034 </u>

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: directed, line segment, length, one third, ratio, units, line, thing, quantitative relation, number, comparison, different things, ribbon, equally divided.

Helen [10]3 years ago
8 0

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

I like to call the numbers in the ratio 1 : 3 "ratio units".

That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).

_____

<em>Coment on the answer wording</em>

I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".

In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."

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hram777 [196]

Answer:

B: 22.5 degrees

Step-by-step explanation:

The interior angles of a pentagon add up to 540 degrees

(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)

So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60

Unless I read the problem wrong, 60 degrees is the answer which is not an option :P

Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees.

The total would be 24x = 540, and so x = 22.5

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3 years ago
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dedylja [7]
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3 years ago
At a grocery store the manager randomly selects 20 cartons of eggs, he finds 3 cartons with at least 1 broken egg. If the refrig
ivann1987 [24]

Answer:

You would expect 75 cartons with at least 1 broken egg.

There are likely to be 222 DVD players that are defective.

Step-by-step explanation:

Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players.  In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.

Egg Cartons: \frac{broken}{#cartons}=\frac{3}{20}=\frac{x}{500}

'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'.  In this case 500/20 = 25, so the factor is 25.  3 x 25 = 75, so you have 75 expected cartons with a broken egg.

DVD Players:  \frac{defective}{#players}=\frac{3}{50}=\frac{x}{3700}

'x' represents the number of DVD players out of 3700 that would be expected to be defective.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'.  In this case 3700/50 = 74, so the factor is 74.  3 x 74 = 222, so you have 22 likely defective DVD players.

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3 years ago
Hi ! How to solve this question?
tester [92]

You should actually have

-x^2-4x-10=-(x^2+4x+10)=-(x^2+4x+4+6)=-((x+2)^2+6)=-(x+2)^2-6

Now, remember that x^2 is always non-negative, so (x+2)^2\ge0 for any value of x. This means -(x+2)^2\le0 for any x, and so

-(x+2)^2-6\le0-6=-6

i.e. f(x) is at most -6, and hence negative for all x.

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3 years ago
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andreyandreev [35.5K]

Answer:

Step-by-step explanation:

formula for cylinder:V=πr2h

shape of the base: circle

formula for circle: A=πr2

radius: 6.5cm

height: 16cm

V=3.14x6.5^2x16

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2 years ago
Read 2 more answers
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