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Elena L [17]
3 years ago
9

A 57-inch television screen has an aspect ratio of 4:3. Find the scale factor (x), find the length and width, and calculate the

Area.
please show work if you can

Mathematics
1 answer:
natulia [17]3 years ago
3 0

tv-sets are rated by the screen size and the screen size comes from the length of its diagonal.

so a 57" TV has a 57" diagonal.

Check the picture below.

\bf \stackrel{length}{4\left( \cfrac{57}{5} \right)}\implies \cfrac{228}{5}\implies 45\frac{3}{5}~\hfill \stackrel{width}{3\left( \cfrac{57}{5} \right)}\implies \cfrac{171}{5}\implies 34\frac{1}{5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{Area}{\cfrac{228}{5}\cdot \cfrac{171}{5}}\implies \cfrac{38988}{25}\implies 1559\frac{13}{25}

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3 years ago
A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

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The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

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There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

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Hope this helps!

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