A new system of units is invented where the basic unit of length is the "dak." The "dak" is defined as equal to 3 inches, and there are 2.54 centimeters in an inch. How many "daks" are there in a centimeter.

Respuesta :

Answer:

1 cm = 0.131 daks

Explanation:

It is given that,

1 dak = 3 inches

and

1 inch = 2.54 cm

We need to find how many "daks" are there in a centimeter. We can do the conversions as follows :

[tex]1\ dak=1\ dak\times \dfrac{3\ inches}{1\ dak}\times \dfrac{2.54\ cm}{1\ inch}[/tex]

[tex]1\ dak=7.62\ cm[/tex]

[tex]1\ cm=\dfrac{1}{7.62}\ dak[/tex]

1 cm = 0.131 dak

So, there are 0.131 daks in 1 centimeter. Hence, this is the required solution.

The system of units is defined as the set of related units used for calculating quantities. In the new system of units, the basic unit of length is given as dak.

Given that:

1 dak = 3 inches

1 inch = 2.54 centimeters

1 dak = ? centimeters

Unitary method is a mathematical technique in which a problem is solved by finding the value of a single unit and then multiplying the required necessary value with the single unit value.

Now, we know that:

[tex]1 \; \rm dak &= 3 \rm inches\\\\1\;\rm dak&= 3 \times 2.54\\\\1 \; dak &= 7.62 \;centimeters\\\\[/tex]

Thus, in the new system of units, 1 dak will be equal to 7.62 centimeters.

To know more about the system of units, refer to the following link:

https://brainly.com/question/12116123