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goldfiish [28.3K]
3 years ago
5

What is that answer

Mathematics
1 answer:
masya89 [10]3 years ago
5 0
Umm it's two obviously
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a box in the shapr of s rectangular prism has a length of 3 5/8 inches, a width of 2 1/2 inches and a height of 4 inches. what i
Sergeeva-Olga [200]

Answer:

V = 36 1/4 in.^3

Step-by-step explanation:

V = LWH

L = 3 5/8 in.

W = 2 1/2 in.

H = 4 in.

V = (3 5/8)(2 1/2)(4) in.^3

Change the mixed numerals to fractions.

<em>To change the mixed numeral a b/c to a fraction, do this: </em>

<em>a b/c = (ac + b)/c</em>

V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1

V = (24 + 5)/8 * (4 + 1)/2 * 4/1

V = 29/8 * 5/2 * 4/1 in.^3

V = 580/16 in.^3

V = 145/4 in.^3

V = 36 1/4 in.^3

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Answer:

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Step-by-step explanation:

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3 years ago
Mary states, If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. Decide if her statement i
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What degree of rotation is represented on this matrix
Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, -90^{\circ}

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}

Given the matrix: \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

Now, equate the given matrix with standard matrix we have;

\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix} =  \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

On comparing we get;

\cos \theta = 0       and -\sin \theta =1  

As,we know:

  • \cos \theta = \cos(-\theta)
  • \sin(-\theta) = -\sin \theta

\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})

we get;

\theta = -90^{\circ}

and

\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})

we get;

\theta = -90^{\circ}

Therefore, the degree of rotation is, -90^{\circ}

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3 years ago
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iren [92.7K]
(-2)+(-2)+(-2)+(-2)
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