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sattari [20]
3 years ago
15

Arrange 31/40, 78%, 0.7 in ascending order

Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

Answer:  0.7

Step-by-step explanation:

Since we have given that

\dfrac{31}{40}, 78%, 0.7

We need to write in ascending order:

So, firstly, we change it into decimal form:

\dfrac{31}{40}=0.775

and

78\%=\dfrac{78}{100}=0.78

and 0.7

So, now we can compare all the three numbers:

0.70<0.775<0.78

Hence, 0.7

Setler [38]3 years ago
5 0
It would be first 31/40,0.7,78%

It might be wrong

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Arrange the matrices in increasing order of their determinant values.
Anuta_ua [19.1K]

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]

The determinant of the matrix is:

|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)

|D | = \cos^2\theta + \sin^2\theta

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|D | = 1

(b)

\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]

The determinant of the matrix is:

|D| = 2 * 2 - 0 * 0

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(c)

\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]

The determinant of the matrix is:

|D| = 0 * 0 -(-i * i)

|D| = 0 +i^2

|D| = i^2

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i^2 = -1

So:

|D| = -1

<em>So, the order of the determinants is: c, a, b</em>

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