Mathematics, 30.06.2019 17:30, cooltez100
Find the width and height of a 100in television that has an aspect ratio of 4: 3. a. width- 20in height- 60in b. width- 60in height- 80in c. width- 80in height- 60 d. width- 60in height- 20in
Answers: 1
![\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{100}\\ a=\stackrel{adjacent}{4x}\\ b=\stackrel{opposite}{3x}\\ \end{cases}\implies 100^2=(4x)^2+(3x)^2 \\\\\\ 10000=(4^2x^2)+(3^2x^2)\implies 10000=16x^2+9x^2\implies 10000=25x^2 \\\\\\ \cfrac{10000}{25}=x^2\implies 400=x^2\implies \sqrt{400}=x\implies 20=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{w=4x}{80}\qquad \stackrel{h=3x}{60}~\hfill](/tpl/images/0035/6616/93cc2.png)
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Find the width and height of a 100in television that has an aspect ratio of 4: 3. a. width- 20in hei...
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