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3 years ago

Find the lateral area of the prism 3m 6m 3m 6m 15m

Mathematics

1 answer:

Debora [2.8K]3 years ago

7 0

3+6+3+6+15=33m

Hope this help you well

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[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

The perimeter of a rectangle is given by P equals 2 l plus 2 w. Find the width of a rectangle whose length is 35 and perimeter i

maks197457 [2]

2l + 2w = P
l = 35, P = 84, w=?

2*35 + 2*w = 84
70 + 2w = 84
2w = 84 - 70
2w = 14
w = 14/2
w = 7 in

5 0

3 years ago

What are the correct steps for solving the following equation: 5x - = 21

ololo11 [35]

Answer:

x = -21/5 = -4.200

Step-by-step explanation:

3 0

3 years ago

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Can anyone help me with my homework

aleksley [76]

Answer:

x = the number

Step-by-step explanation:

15.) 2x + 9 = 25

16.) 3x - 6 = 21

17.) 7x = 12 + 3x

18.) 4x = 18 + x

19.) 2x + 24 = 8x

20.) 30 - x = 4x

7 0

2 years ago

What is the approximate value of sin B?

Jlenok [28]

The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
$16/17.46$
Use your calculator
The answer is ≈ 0.9164

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3 years ago

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