Question

1. an 80 - inch tv has a height of 39.2 inches. what is the width of the television? round to the nearest tenth of an inch.

Explanation:

Step1: Apply Pythagorean theorem

Let width = $w$, height = 39.2, diagonal = 80.
$w^2 + 39.2^2 = 80^2$

Step2: Calculate $39.2^2$

$39.2^2 = 1536.64$

Step3: Calculate $80^2$

$80^2 = 6400$

Step4: Solve for $w^2$

$w^2 = 6400 - 1536.64 = 4863.36$

Step5: Find $w$

$w = \sqrt{4863.36} \approx 69.7$

Answer:

69.7