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statuscvo [17]
3 years ago
7

In the unit circle, the value of sine is the y-coordinate of the unit radius. What is the value of cosine?

Mathematics
2 answers:
Agata [3.3K]3 years ago
7 0
Cos is the x-coordinate of the unit circle
erik [133]3 years ago
6 0

Answer:

<h2>a.  x-coordinate</h2>

Step-by-step explanation:

In the unit circle, the value of cosine is the x-coordinate of the unit radius.

In general, you must associate vertical axis with sine and horizontal axis with cosine. The reason of this is beacuse of trigonometric reasons, when we analyse the radius of the unit circle, we form a right triangle, where the opposite leg to the direction of the radius is Y and the adjacent leg is X. Now, remember that the sine function is opposite leg over hipothenuse, and cosine function is adjacent leg over hypothenuse, where the hypothenuse is the radius.

Therefore, the right answer is a. x-coordinate.

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What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Using Substitution solve: y=x+5<br> 4x+y=20
Vladimir [108]

Answer:

3

Step-by-step explanation:

So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3

4 0
3 years ago
I need help with this math problem!!
Vesnalui [34]
In order to find which one is or isn't, you need to solve for the value of 'x'. 
2x + 15 = 35 
2x = 20
x = 10 

Substitute x =10, into equation. If each side are not the same (i.e. 0=2), then that's the equation that is not equivalent,

Answer is B
Double check this. Chur! :)

Hope this makes sense.


4 0
3 years ago
Round each number to the nearest ten. What is the best estimate for the answer to 343.42 – 39.87?
Dafna11 [192]
The original answer for that question would be 303.55. The best estimate when you round to the nearest tenth the approximate answer would be 303.6 because the 5 in the hundredths place rounds the 5 in the tenths place to a 6. So the approximate answer would be 303.6....hope this helps. 
3 0
3 years ago
Read 2 more answers
A father is 60 years old just son is half his age how old was the boy when his father was four times his age
gayaneshka [121]

So, what you would have to do is figure out how old he is not which is 30 yrs old because it is half of 60.

So, after this you would have to find a number that would go into 60 four times which is 15.

So, your answer would be 15.


HOPES THIS HELPS!!!!

6 0
3 years ago
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