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luda_lava [24]
3 years ago
8

Find x. give your answer in the simplest form

Mathematics
2 answers:
posledela3 years ago
6 0

Answer:

16

Step-by-step explanation:

sin = adjacent ÷ hypotenuse.

sin 45 = x ÷ 23

0.71 = x ÷ 23

0.71 × 23 = x

x = 16.26

~ 16.

defon3 years ago
5 0

Answer:

Step-by-step explanation:

using the Pythagorean theorem     a² + b² = c²

in this triangle a = x and b = x  so   x² + x²  = c²       c is the hypotenuse

         

                 x² + x²  = c²

                   2x² = c²             since c = 23 solve for x

                     x² =  c² / 2

                     x   =  ± √(c² / 2)

                     x   =  ± √(23² /2)

                          = ± √(529 /2)            

                          = ± √(264.5)            

                          =  16.26          x can't be negative

        That is correct but it doesn't answer the question

                 x = ??? / √xx

           sin 45  = √2 / 2  which equals    x / 23

                      √2 / 2  =    x / 23

                       x =  23 (√2 / 2)

                          =  23 (√2)  / 2             divide the √2 numerator and demenator

                          =  23 (√2)/√2 / (2 / √2)

                           = 23 / (2 / √2)

Sorry I have no idea what goes in the green box

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