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Scorpion4ik [409]
2 years ago
13

What is the sum of 1 2/16 + .6 + (-½)

Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Answer:

  1 9/40

Step-by-step explanation:

Any calculator can tell you the sum is ...

  1 + 2/16 + 0.6 - 1/2 = 1.225

The decimal fraction can be reduced, if you like:

  225/1000 = (25)(9)/(25(40)) = 9/40

As a mixed number, the sum is 1 9/40.

__

Alternate solution

  1 2/16 + 0.6 -1/2 = 1 1/8 + (6/10 -5/10) = 1 1/8 + 1/10

  = 1 + (1/8 +1/10) = 1 +(5/40 +4/40) = 1 9/40

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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:

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we get;

\theta = -90^{\circ}

and

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we get;

\theta = -90^{\circ}

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7 0
3 years ago
How to convert 18 gallons/1 hour to cups and minutes
Ne4ueva [31]
So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other. 

(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups

(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)

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compare the triangles ΔABC and ΔBCD

∡ABC = ∡BCD (given)

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Is "2.323223222…" a rational number.
gayaneshka [121]

Answer:

No,

Step-by-step explanation:

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