Mathematics, 01.07.2020 15:01, sugeilochoa

The screen of an eReader has a length of 8 inches and a width of 6 inches. Can the page content from an atlas that measures 19 inches by 12 inches be replicated on the eReader?If not, propose a solution to move the atlas content into the eReader format.

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answered: mimithurmond03

No, the page content of the atlas cannot be replicated on the eReader.

Please check explanations below for solution to question (b)

Step-by-step explanation: The dimensions of the eReader screen is given as 8 inches by 6 inches. In order to move a rectangular shape such as the atlas onto it would require the same measurements or, a measurement that has the same ratio as both the length and width of the screen, but a reduced size.

This brings us to similar shapes. When two shapes (rectangles in this case) are similar, it simply means there is a common ratio between the corresponding sides, that is the length and the width. If rectangle 1 has its side measuring 8 inches, then rectangle 2 would have the corresponding side having a common ratio with that of rectangle 1. This means the corresponding side in rectangle 2 can either be an enlargement (which would mean 8 times a scale of enlargement) or a reduction (which means 8 divided by a scale of reduction).

In the question given, the eReader screen has dimensions of 8 inches by 6 inches. The atlas has dimensions given as 19 inches by 12 inches. By observation we can see that the width of the atlas is times 2 of the screen. The length of the atlas however is not times 2 of the screen. That is;

Ratio = Rectangle 1 : Rectangle 2

Ratio of Width = 6 : 12

Ratio of Width = 1 : 2

Likewise

Ratio of Length = 8 : 19

Ratio of Length ≠ 1: 2

This proves that the atlas cannot be scaled down to fit properly into the screen. A solution to make this possible would be to resize the length of the atlas to become times 2 of the eReader screen. This would result in the atlas having new dimensions given as

Length = 16 inches

Width = 12 inches

This would ensure that both rectangular shapes are similar and the atlas can now be scaled down by a factor of 2 to fit in properly into the eReader screen.

answered: Guest

$\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ a(2,1)\qquad c(4,7)\qquad \qquad 3: 2\qquad \textit{from a to c} \\\\\\ \cfrac{ab}{bc} = \cfrac{3}{2}\implies \cfrac{a}{c} = \cfrac{3}{2}\implies 2a=3c\implies 2(2,1)=3(4,7)\\\\ { b=\left(\cfrac{\textit{sum of$ and surely you know how much that is.

answered: Guest

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The screen of an eReader has a length of 8 inches and a width of 6 inches. Can the page content from...