Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.3 inches.If an image is 18 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary. A. 1.3 millimeters B. 79.7 millimeters C. 406.5 millimeters D. 1,464 millimeters
Question
Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.3 inches.If an image is 18 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary. A. 1.3 millimeters B. 79.7 millimeters C. 406.5 millimeters D. 1,464 millimeters
Solution
First, we need to find the ratio of the diagonal of the tablet to the diagonal of the computer monitor. This is because the website is proportional on both devices.
The ratio is 9.3 inches (tablet) / 21 inches (computer) = 0.44285714285714284.
Next, we need to convert the width of the image on the computer from centimeters to millimeters because the answer needs to be in millimeters.
18 centimeters = 180 millimeters.
Now, we can find the width of the image on the tablet by multiplying the width of the image on the computer by the ratio we found earlier.
180 millimeters * 0.44285714285714284 = 79.71428571428571 millimeters.
Rounding to the nearest tenth of a millimeter, the width of the image on the tablet should be 79.7 millimeters.
So, the correct answer is B. 79.7 millimeters.
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