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100 POINTS AND BRAINLIST

100 POINTS AND BRAINLIST class=

Sagot :

Fieryanswererftidn

Answer:

A = 44°

a = 28.0

c = 40.3

explanation:

A = 180° - 90° - 46°

A = 44°

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(46)= \dfrac{29}{a}[/tex]

[tex]\sf a= \dfrac{29}{tan(46)}[/tex]

[tex]\sf a= 28.0[/tex]

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\sf sin(46)= \dfrac{29}{hypotensue}[/tex]

[tex]\sf hypotensue= \dfrac{29}{sin(46)}[/tex]

[tex]\sf hypotensue= 40.3[/tex]

[tex]\\ \rm\hookrightarrow sin46=\dfrac{29}{c}[/tex]

[tex]\\ \rm\hookrightarrow 0.72=29/c[/tex]

[tex]\\ \rm\hookrightarrow c=29/7.2[/tex]

[tex]\\ \rm\hookrightarrow c\approx 4[/tex]

And

[tex]\\ \rm\hookrightarrow cos46=\dfrac{a}{c}=\dfrac{a}{4}[/tex]

[tex]\\ \rm\hookrightarrow a=4(0.7)=2.8[/tex]

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