Notes: `C = 43^@, a = 4/9, b = 7/9` Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

Monday, 20 March 2017

$\displaystyle{C}={{43}}^{\circ},{a}=\frac{{4}}{{9}},{b}=\frac{{7}}{{9}}$ Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

Using the law of cosines, in the given case, yields:

$\displaystyle{{c}}^{{2}}={{a}}^{{2}}+{{b}}^{{2}}-{2}{a}{b}\cdot{\cos{{C}}}$

$\displaystyle{{c}}^{{2}}={{\left(\frac{{4}}{{9}}\right)}}^{{2}}+{{\left(\frac{{7}}{{9}}\right)}}^{{2}}-{2}\cdot\frac{{28}}{{9}}\cdot{{\cos{{43}}}}^{{o}}$

$\displaystyle{{c}}^{{2}}=\frac{{65}}{{81}}-\frac{{56}}{{81}}\cdot\frac{{73}}{{10}}$

$\displaystyle{{c}}^{{2}}={\left(\frac{{1}}{{81}}\right)}\cdot\frac{{{650}-{4088}}}{{10}}$

$\displaystyle{{c}}^{{2}}=-\frac{{343.8}}{{81}}$

Since $\displaystyle{{c}}^{{2}}>{0}$ , the provided information cannot be used to solve the triangle.

Using the law of cosines, in the given case, yields:

$\displaystyle{{c}}^{{2}}={{a}}^{{2}}+{{b}}^{{2}}-{2}{a}{b}\cdot{\cos{{C}}}$

$\displaystyle{{c}}^{{2}}={{\left(\frac{{4}}{{9}}\right)}}^{{2}}+{{\left(\frac{{7}}{{9}}\right)}}^{{2}}-{2}\cdot\frac{{28}}{{9}}\cdot{{\cos{{43}}}}^{{o}}$

$\displaystyle{{c}}^{{2}}=\frac{{65}}{{81}}-\frac{{56}}{{81}}\cdot\frac{{73}}{{10}}$

$\displaystyle{{c}}^{{2}}={\left(\frac{{1}}{{81}}\right)}\cdot\frac{{{650}-{4088}}}{{10}}$

$\displaystyle{{c}}^{{2}}=-\frac{{343.8}}{{81}}$

Since $\displaystyle{{c}}^{{2}}>{0}$ , the provided information cannot be used to solve the triangle.

Notes

Monday, 20 March 2017

$\displaystyle{C}={{43}}^{\circ},{a}=\frac{{4}}{{9}},{b}=\frac{{7}}{{9}}$ Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

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Is there any personification in "The Tell-Tale Heart"?

Monday, 20 March 2017

Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

No comments:

Post a Comment

Is there any personification in &quot;The Tell-Tale Heart&quot;?

$\displaystyle{C}={{43}}^{\circ},{a}=\frac{{4}}{{9}},{b}=\frac{{7}}{{9}}$ Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

Is there any personification in "The Tell-Tale Heart"?