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2 years ago

Check all that apply. If sec=13/12, then:

Mathematics

2 answers:

Verizon [17]2 years ago

3 0

<u>Answer</u>
1) TanФ = 5/12
2) CosФ = 12/13

<u>Explanation</u>
SecФ = 1/CosФ

Cos = adjacent/hypotenuse
SecФ= 13/12
cosФ = 12/13

This means that the adjacent is 12 and hypotenuse is 13.
Opposite = √(13²-12²)
= √25
= 5

Tangent = opposite/adjacent
TanФ = 5/12

Sine = opposite/hypotenuse
SinФ = 5/13

Nadya [2.5K]2 years ago

3 0

Answer:

1) TanФ = 5/12

2) CosФ = 12/13

Step-by-step explanation:

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The pair of equations that has (0, 8) as its solution is: A. equation A and equation C.

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1 year ago

A fraction becomes 4÷5 if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and den

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Answer:

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Step-by-step explanation:

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Putting it in matrix form

$\begin{bmatrix}a_{1}&b_{1}\\a_{2}&b_{2}\end{bmatrix}{\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}{c_{1}}\\{c_{2}}\end{bmatrix}\\\Rightarrow\begin{bmatrix}5 & -4\\2 & -1\end{bmatrix}\begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}-1\\ 5\end{bmatrix}$

From Cramer's rule we have

$x=\dfrac{\begin{vmatrix}c_1 &b_1 \\ c_2 & b_2\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow x=\dfrac{\begin{vmatrix}-1 &-4 \\ 5 & -1\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1\end{vmatrix}}\\\Rightarrow x=\dfrac{1+20}{-5+8}\\\Rightarrow x=7$

$y=\dfrac{\begin{vmatrix}a_1 &c_1 \\ a_2 & c_1\end{vmatrix}}{\begin{vmatrix}a_1 &b_1 \\ a_2& b_2\end{vmatrix}}\\\Rightarrow y=\dfrac{\begin{vmatrix}5 &-1 \\ 2 & 5\end{vmatrix}}{\begin{vmatrix}5 &-4 \\ 2& -1 \end{vmatrix}}\\\Rightarrow y=\dfrac{25+2}{-5+8}\\\Rightarrow y=9$

Verifying the results

$\dfrac{7+1}{9+1}=\dfrac{8}{10}=\dfrac{4}{5}$

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Hence, the fraction is $\dfrac{7}{9}$ .

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