ABC is a right-angled triangle. Given that cos x = 3/4 and that the length of the side adjacent to the angle x is 9 cm,
work out the length of the hypotenuse.

Step-by-step explanation:

        cosФ = adjacent / hypotenuse

        cosФ =  3/4   =    adj / hyp              adjacent side = 9 cm

                     3 / 4  =   9 / hyp                solve for hyp

                     4 / 3  =   hyp / 9               i just inverted both sides they are still =

                                                              a simple example     1/2 = 1/2      2 = 2

                     9 (4/3) = 9 (hyp/9)           multiply both sides by 9

                         12    =  hyp                   doing the math

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.