The size of a tv is identified by the length of its diagonal. a new tv is being advertised as a 70 in. tv. the tv screen is in the shape of a rectangle with a 59.5 in. width.
what is the height of the tv screen, rounded to the nearest tenth of an inch?

Using the Pythagorean theorem:

a^2 + b^2 = c^2  ( a and b are the sides and c is the diagonal)

59.5^2 + b^2 = 70^2

Simplify:

3540.25 + b^2 = 4900

Subtract 3540.25 from both sides:

b^2 = 1359.75

Take the square root of both sides:

b = 36.874

Rounded to the nearest tenth = 36.9 inches.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.