The size of a television is usually indicated by the length of the screens diagonal if a person buys a 20 inch television set that is 12 inches tall how wide is the television

diagonal = sqrt(a^2 +b^2)

20 = sqrt(12^2 +b^2)

20= sqrt(144+b^2)

20^2 = 144 + b^2

400 = 144 + b^2

256 = b^2

b = sqrt(256) = 16

 it is 16 inches wide

In 150000 ways a shirt be created, if one option is selected for each of given category.

Solution:

Given that  

A local T-shirt company has  20 slogans for the front of the shirt,  50 colors of shirts,  15 logos for the back of the shirt , 10 shirt size

Need to determine in how many ways can a shirt be created , if one option is selected from each category.

Number of ways in which t – shirt from 20 slogans can be created = 20

Number of ways 1 colour t-shirt  from 20 slogans can be created = 20 x 1

So number of ways 50 colour t shirts from 20 slogas can be created = 20 x 50

Extending the same idea of multiplication for each option we can say that Number of ways in which T shirts from 20 slogans , 50 colors , 15 logos  , 10 shirt sie can be created =

Hence in 150000 ways a shirt be created, if one option is selected for each of given category.