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Levart [38]
2 years ago
5

Find the value of x. * 50 PTS! 5 25 5√2 50

Mathematics
2 answers:
mote1985 [20]2 years ago
8 0

Answer:

Answer: x is 5 units

Step-by-step explanation:

» From trigonometric ratios,

{ \tt{ \red{ \sin( \theta) =  \frac{opposite}{hypotenuse}  }}} \\

  • theta is 45°
  • opposite is x
  • hypotenuse is √50

{ \tt{ \sin(45 \degree) =  \frac{x}{ \sqrt{50} }  }} \\  \\ { \tt{x =  \sqrt{50}  \times  \frac{1}{ \sqrt{2} } }} \\  \\ { \tt{x =  \sqrt{ \frac{50}{2} } }} \\  \\ { \tt{x =  \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}

Or, from pythogras theorem

{ \tt{ {a}^{2}  +  {b}^{2}  =  {c}^{2} }}

  • a is x, and b is x
  • c is √50

{ \tt{ {x}^{2}  +  {x}^{2} =  {( \sqrt{50}) }^{2}  }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2}  = 25}} \\ { \tt{x =  \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}

Aneli [31]2 years ago
5 0

Answer:

  • Option A

Step-by-step explanation:

We can solve this with the help of Pythagoras theorem.

  • => (√50)² = x² + x²
  • => √50 x √50 = x² + x²
  • => 50 = 2x²
  • => 25 = x²
  • => x = 5

Hence, the value of x is 5 units.

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