Mathematics, 29.11.2019 13:31 Tywan566

Explain why partitioning a directed line segment into a ratio of 1: 2 is not the same as finding half the length of the directed line segment.

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The half -length of the directed line segment is $\boxed{{\mathbf{not same}}}$ as the length of the directed line segment is divided into the ratio of 1:2 .

Further explanation:

Ratio is the quantitative relation or comparison between two different objects or things.

Given:

It is given that a directed line segment is divided in the ratio of 1:2 .

Step by step explanation:

Step 1

The directed line segment is divided in the ratio of 1:2 .

It means that there are total 3 parts as it includes three pieces.

One part is before the required point and 2 parts are after the required point.

Step 2:

The half-length of the directed line segment means there is only two parts of equal size.

Step 3:

Consider an example a ribbon has length of 6cm.

Now divide the ribbon into the ratio of 1:2 .

$\begin{aligned}{\text{first part}}&=\frac{1}{3}\times6=2\hfill\\{\text{second part}}&=\frac{2}{3}\times6=4\hfill\\\end{aligned}$

Therefore, the ribbon is partitioned in the ratio of 1:2 as ${\text{2cm, 4cm}}$

Now divide the ribbon equally that is half of the ribbon.

$\frac{1}{2}\times 6=3$

Therefore, the ribbon is partitioned into half as ${\text{3cm, 3cm}}$ .

Thus, it has been proved the given explanation.

Learn more:

Learn more about the cost of coffee cans Learn more about the whole value of for which the solution of the equation Learn more about one solution contains 2 parts salt to 8 parts water, and another 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?

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

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

Answer from: Quest

answer: 14

step-by-step explanation:

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Answer from: Quest

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

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