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24 votes
24 votes
Find x. give your answer in the simplest form

Find x. give your answer in the simplest form-example-1
User Modmoto
by
2.3k points

2 Answers

9 votes
9 votes

Answer:

16

Explanation:

sin = adjacent ÷ hypotenuse.

sin 45 = x ÷ 23

0.71 = x ÷ 23

0.71 × 23 = x

x = 16.26

~ 16.

User Teno
by
3.3k points
17 votes
17 votes

Answer:

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

User Fredbaba
by
3.2k points