Question

Twenty Points and Brainliest for the first answerer
Dayana is shopping online for a 42 in. television with a 16-to-9 aspect ratio. She found one with a 1 in. border around the screen. She wants to know the width and height of the television so she can determine if it will fit inside her entertainment center. The sides are in a ratio of 16 to 9, so the width is 16 times some number, or 16x, and the height is 9 times that number, or 9x. Because the diagonal is 42 in., you can use the Pythagorean theorem to write (16x)2+(9x)2=422 . Lengths must be positive, so the negative solution can be discarded. What is the positive value of x? Enter your answer in the box. Round to the nearest hundredth.

Answer 1

Answer:

x=27

Step-by-step explanation:

this problem is best modeled as screen width x to screen height y where x:y is always the same. This means that:

x1/y2=x2/y2. If we know that x1=16 and y1=9 and x2 =48, you can plug in the numbers:

16/9 = 48/y2 to find that y2=48*9/16=27 inches.