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OpenStudy (anonymous):
OpenStudy (anonymous):
the ratios of a 30 - 60 - 90 right triangle are
\[1:\sqrt{3}:2\] for
short leg : long leg : hypotenuse
OpenStudy (anonymous):
here your hypotenuse is 20 so short leg is 10 and the long leg is \(\frac{10}{\sqrt{3}}\)
OpenStudy (anonymous):
the side opposite the 30 degree angle is the short leg (since it is opposite the smallest angle) and the side opposite the 60 degree angle is the long leg, so your answer is
\[\frac{10}{\sqrt{3}}\]
OpenStudy (anonymous):
oh never mind i got it the first one is 17.3 and then other one is 36.9
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OpenStudy (anonymous):
can you help me with this one
OpenStudy (anonymous):
by answer was wrong anyway , it is \(10\sqrt{3}\)
OpenStudy (anonymous):
lol its ok
OpenStudy (anonymous):
square both sides, and get
\[2x+3=6x-1\]
OpenStudy (anonymous):
solve get
\[3=4x-1\]\[4=4x\]
\[x=1\]
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OpenStudy (anonymous):
ok what about the next one
OpenStudy (anonymous):
second one, square both sides, get
\[\frac{b^4}{25}=16\]
\[b^4=16\times 25\]
\[b=\sqrt[4]{16\times 25}=\sqrt{4\times 5}=2\sqrt{5}\]