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Find x. Use a simplified radical or round to the nearest tenth.

Pleas helpppp


Find X Use A Simplified Radical Or Round To The Nearest Tenth Pleas Helpppp class=

Sagot :

Leora03idn

Answer:

[tex]x = 7 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]sinθ = \frac{opp}{hyp} [/tex]

[tex]sin45° = \frac{7}{x} [/tex]

[tex] \frac{ \sqrt{2} }{2} = \frac{7}{x} [/tex]

Cross multiply:

[tex]( \sqrt{2} )(x) = 7(2)[/tex]

[tex]x = \frac{14}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]

[tex]x = \frac{14 \sqrt{2} }{2} [/tex]

[tex]x = 7 \sqrt{2} [/tex]

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