Mr. Perkins saw an advertisement of a T. V.in the newspaper where it is mentioned that the T. V. is 16 inches high and 14 inches wide. Calculate the diagonal length of its screen for Mr. Prekins. You must show work to receive credit. Round your answer to the nearest tenth if possible PLEASE HELP!!!

21.26 or 21.3 inches.

Step-by-step explanation:

Think of this as a right triangle.

The height is 16 inches.

The width is 14 inches.

So, the diagonal is...

We need to use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

Height^2 + Width^2 = Diagonal^2

16^2 + 14^2 = c^2

256 + 196 = c^2

c^2 = 452

So, c = Square root of c^2 = Square root of 452.

So, Square root of 452 = 21.26

So, the diagonal = 21.26 or 21.3 inches.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: