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ycow [4]
2 years ago
12

Solve for x. please explain in detail

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Use the cosine formula

Cos(angle) = adjacent/ hypotenuse


cos(30) = x/8

Cos(30) can be written as sqrt(3)/2

Now you have :

sqrt(3)/2 = x/8

Multiply both sides by 8:

X = sqrt(3)/2 x 8

Simplify:

X = 4sqrt(3)

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Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8
atroni [7]

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

6 0
2 years ago
I WILL MA FIRST ANSWER BRANILIST The map shows the location of the houses of Dan, Joe, Lee, and the coordinates of the community
emmasim [6.3K]
Look at the coordinates. They are both negative. (-5,-1)

Let me plot all the coordinates so you can see:

Joe= (-3,4)

Dan= (1,4)

Roy= (2,-3)

Lee= (-3,-4)

The only person with coordinates that are both negative is Lee.

"C" is the answer. Lee. 

I hope this helps!
~kaikers
3 0
3 years ago
Reflection: Across the line y = -1 ​
eduard

The A’ is your reflected shape. The red line is y=-1, or your line  right reflection.  To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

8 0
2 years ago
I need helps<br> can you simply this please :)
Gwar [14]

Answer:

64-18+2

Hope this helps...

6 0
2 years ago
Georgia want to end letter to 12 of her friend. Half of the letter will need 1 page each and the other half will need 2 page eac
kifflom [539]

The total no: of pages needed are 18 pages

<h3>What is the unitary method?</h3>

A fundamental idea behind the unitary method is using the value of one unit to determine the values of additional units. Study up on the unitary method. With an increase in units, the value of additional units rises.

<h3>What is unitary set?</h3>

The general unitary group, also known as the group of unitary similitudes, is simply the product of the unitary group and the group of all positive multiples of the identity matrix. It includes all matrices A such that AA is a nonzero multiple of the identity matrix.

According to the question:-

The no: of pages needed for 6 letters = 6

The no: of pages needed for the other 6 letters= 6*2

                                                                              =12

Total no: of pages are 18

Hence, the total no: of pages are 18

To know more about unitary method click the following link:-

brainly.com/question/24587372

#SPJ4

3 0
1 year ago
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