For the following question, what is the value of x to the nearest tenth?

6.6

Step-by-step explanation:

Sqrt( 3.6² + 5.5² )

6.573431372

x = 6.6

Step-by-step explanation:

x is known as the radius

11 is the distance of the perpendicular line

if you notice x can be placed anywhere from the centre to touch the circumference.

hence a triangle can be made:

and we can make use of x , 3.6 and (11/2)

we use 11/2 as we dont want to use the wrong line but only half as the 3.6 touch es the line at that point. hence the distance is ( 11/2 = 5.5)

make use of the Pythagoras theorem  

c^2 = b^2 + c^2

c will be replaced by x

b and c will be replaced by 3.6 and 5.5

x^2 = 3.6^2 + 5.5^2

x^2 = 43.21

x = 6.6

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.