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aalyn [17]
3 years ago
11

A rectangle measures 2 4/ 5 inches by 1 1/ 5 inches. What is its area?

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0

[ Answer ]

\boxed{3\frac{9}{25} }

[ Explanation ]

Area Of Rectangle: Length * Width

2 4/5 * 1 1/5

=======================

Convert Fractions Into Mixed Numbers:

2 4/5 = 14/5

1 1/5 = 6/5

Multiply Across:

14 * 6

5 * 5

= 84/ 25

Simplify:

3 9/25

\boxed{[ \ Eclipsed \ ]}

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Step-by-step explanation:

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You're trying to find constants a_0,a_1,a_2 such that \hat y=a_0+a_1\hat x+a_2{\hat x}^2. Equivalently, you're looking for the least-square solution to the following matrix equation.


\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}

To solve \mathbf{Ax}=\mathbf b, multiply both sides by the transpose of \mathbf A, which introduces an invertible square matrix on the LHS.

\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b

Computing this, you'd find that

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Solve for X: 3х + 4 = 9x + 3 ​
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Answer:

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Step-by-step explanation:

The steps are in the picture below

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Answer:

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Step-by-step explanation:

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