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andrew-mc [135]
3 years ago
12

Ignore my errors please. how would i solve these problems... please explain step by step

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
1.

Make the fractions improper.

72/12 x 19/6 = 19.


2. 

Area = L x W

L = 3 1/6 x
W = 6 7/12

= 19.

#1 = 19 feet
#2 = <span>9 3/4 feet</span>





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1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?
Aleksandr-060686 [28]

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_________________________________

According to the theorem of sinuses :

\frac{AB}{ \sin(C) } =  \frac{BC}{ \sin(A) } \\

\frac{AB}{ \sin(60) } =  \frac{12}{ \sin(45) } \\

\frac{AB}{ \frac{ \sqrt{3} }{2} } =  \frac{12}{ \frac{ \sqrt{2} }{2} } \\

Multiply \:  both \:  sides \:  by \:   \frac{ \sqrt{3} }{2}

AB =  \frac{24}{ \sqrt{2} } \times  \frac{ \sqrt{3} }{2} \\

AB =  \frac{12 \sqrt{3} }{ \sqrt{2} } \\

AB =  \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\

AB =  \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3}  }{ \sqrt{2} }  \\

AB =  \frac{ \sqrt{2} \times  \sqrt{2} \times 6 \sqrt{3}   }{ \sqrt{2} } \\

AB =  \frac{ \sqrt{2} \times  6 \sqrt{3}   }{1} \\

AB =  \sqrt{2} \times 6 \sqrt{3}

AB = 6 \sqrt{2 \times 3}

AB = 6 \sqrt{6}

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
4 years ago
Heyo random person scrolling.Please help me?
Ierofanga [76]

Let's do

\\ \sf\longmapsto 2sin^260cos60tan^245

\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2

\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1

\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}

\\ \sf\longmapsto \dfrac{3}{4}

<u>Trigono</u><u>metric</u><u> </u><u>values</u>

\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}

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