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3 years ago

Pointssssssssssssssssss

Mathematics

2 answers:

Andrews [41]3 years ago

7 0

Answer:

thank yu sir or maam :)))

Step-by-step explanation:

Masja [62]3 years ago

6 0

Answer:

mee

Step-by-step explanation:

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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, $-90^{\circ}$

7 0

3 years ago

The population of a local species of beetle can be found using an infinite geometric series where a1 = 880 and the common ratio

nasty-shy [4]

Data:

infinite geometric series

A1 = 880

r = 1 / 4

The sum of a geometric series in sigma notation is:

n 1 - r^n
∑ Ai = A ----------- ; where A = A1
i = 1 1-r

When | r | < 1 the infinite sum exists and is equal to:

∞ A
∑ Ai = ---------- ; where A = A1
i = 1 1 - r

So, in this case:

∞ 880
∑ Ai = -------------- = 4 * 880 / 3 = 3520 /3 = 1173 + 1/3
i = 1 1 - (1/4) 

Answer: 1173 and 1/3

6 0

3 years ago

What is the solution to the system of equations y=-3x-2

Elan Coil [88]

Answer:

Step-by-step explanation:

Yoo mama

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3 years ago

Read 2 more answers

What is the value of x?

OlgaM077 [116]

Answer:

x=35

Step-by-step explanation:

55+90=145

180-145=35

3 0

2 years ago

Find the value of x that makes quadrilateral FGHI a parallelogram.

kumpel [21]

Answer:

CANNN U PLS HELP ME ON MY TEST THING PLSS I ONLY HAVE 5 MIN

Step-by-step explanation:

Include a Claim, Evidence, Explanation, and Conclusion for full credit.

Cells were obtained from a patient with a viral infection. The DNA extracted from these cells consisted of two forms: double-stranded human DNA and single-stranded viral DNA. The base composition of these two forms of DNA are shown in the image.

Construct an argument based on evidence to determine which form was the viral DNA and which form was the human DNA.

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3 years ago