Answer:
15.59 inches
Step-by-step explanation:
We can use the Pythagorean theorem to find the width of the laptop screen.
Let [tex]w[/tex] be the width of the screen. According to the Pythagorean theorem, in a right-angled triangle:
[tex] \text{hypotenuse}^2 = \text{height}^2 + \text{width}^2 [/tex]
In this case, the hypotenuse is the diagonal of the screen, which is 18 inches, and the height is 9 inches.
[tex] 18^2 = 9^2 + w^2 [/tex]
Solving for [tex]w[/tex]:
[tex] 324 = 81 + w^2 [/tex]
[tex] w^2 = 243 [/tex]
[tex] w = \sqrt{243} [/tex]
Now, we know that [tex]w[/tex] is the width of the screen, so we take the positive square root:
[tex] w = \sqrt{243} [/tex]
[tex] \approx 15.58845727 [/tex]
[tex] \approx 15.59 \text{ inches (rounded to the nearest hundredth)}[/tex]
Therefore, the width of the screen is approximately 15.59 inches.
