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gogolik [260]
3 years ago
8

I need help asap:

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

79.4° to the nearest tenth of a degree

Step-by-step explanation:

You are trying to find the angle opposite the side of length 27.

Let the length of that  side be c and a and b be the lengths of the other two sides and let C be the measure of the angle you are looking for

Using the law of cosines

c = \sqrt{a^{2}  + b^{2}  - 2abcos C}

27 = \sqrt{19^{2}  + 23^{2} - 2(19)(23)cosC}

27^{2}  = 19^{2}  + 23^{2}  - 2(19)(23)cosC

729 = 361 + 529 - 874cosC

729 = 890 - 874cosC

-161 = -874cosC

-161/-874 = cosC

.1842105.... = cosC

C = arccos .1842105.... = 79.4° to the nearest tenth of a degree

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Answer:

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Step-by-step explanation:

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ApplyR_2\rightarrow R_2-R_1

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Apply R_3\rightarrow R_3+R_2

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Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

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<h3>How to determine the value of x?</h3>

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