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joja [24]
3 years ago
12

A pyramid has a base area of 44 cm² and a height of 12.6 cm.

Mathematics
2 answers:
BabaBlast [244]3 years ago
8 0

Answer: Volume=184.8 cm³

Step-by-step explanation:  Volume of pyramid = \frac{Bh}{3}

where B=area of base=44 cm²

and h=height of pyramid=12.6 cm

         volume=44×12.6/3

                      =184.8 cm³

lozanna [386]3 years ago
4 0

Answer:

=184.8 cm³

Step-by-step explanation:

i took the quiz

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Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 3y 6212 3x + (x, y. z)
Gekata [30.6K]

Answer:

The solution of the system of linear equations is x=3, y=4, z=1

Step-by-step explanation:

We have the system of linear equations:

2x+3y-6z=12\\x-2y+3z=-2\\3x+y=13

Gauss-Jordan elimination method is the process of performing row operations to transform any matrix into reduced row-echelon form.

The first step is to transform the system of linear equations into the matrix form. A system of linear equations can be represented in matrix form (Ax=b) using a coefficient matrix (A), a variable matrix (x), and a constant matrix(b).

From the system of linear equations that we have, the coefficient matrix is

\left[\begin{array}{ccc}2&3&-6\\1&-2&3\\3&1&0\end{array}\right]

the variable matrix is

\left[\begin{array}{c}x&y&z\end{array}\right]

and the constant matrix is

\left[\begin{array}{c}12&-2&13\end{array}\right]

We also need the augmented matrix, this matrix is the result of joining the columns of the coefficient matrix and the constant matrix divided by a vertical bar, so

\left[\begin{array}{ccc|c}2&3&-6&12\\1&-2&3&-2\\3&1&0&13\end{array}\right]

To transform the augmented matrix to reduced row-echelon form we need to follow these row operations:

  • multiply the 1st row by 1/2

\left[\begin{array}{ccc|c}1&3/2&-3&6\\1&-2&3&-2\\3&1&0&13\end{array}\right]

  • add -1 times the 1st row to the 2nd row

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&-7/2&6&-8\\3&1&0&13\end{array}\right]

  • add -3 times the 1st row to the 3rd row

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&-7/2&6&-8\\0&-7/2&9&-5\end{array}\right]

  • multiply the 2nd row by -2/7

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&1&-12/7&16/7\\0&-7/2&9&-5\end{array}\right]

  • add 7/2 times the 2nd row to the 3rd row

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&1&-12/7&16/7\\0&0&3&3\end{array}\right]

  • multiply the 3rd row by 1/3

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&1&-12/7&16/7\\0&0&1&1\end{array}\right]

  • add 12/7 times the 3rd row to the 2nd row

\left[\begin{array}{ccc|c}1&3/2&-3&6\\0&1&0&4\\0&0&1&1\end{array}\right]

  • add 3 times the 3rd row to the 1st row

\left[\begin{array}{ccc|c}1&3/2&0&9\\0&1&0&4\\0&0&1&1\end{array}\right]

  • add -3/2 times the 2nd row to the 1st row

\left[\begin{array}{ccc|c}1&0&0&3\\0&1&0&4\\0&0&1&1\end{array}\right]

From the reduced row echelon form we have that

x=3\\y=4\\z=1

Since every column in the coefficient part of the matrix has a leading entry that means our system has a unique solution.

7 0
3 years ago
3/2 of a number is less than the number.<br>True or false<br>Justify your answer. ​
emmasim [6.3K]

Answer:

False

Step-by-step explanation:

You are 1 unit more than the whole.

5 0
3 years ago
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What’s the angle measure
Mariulka [41]
I think it is 13 by looking at the angle and numbers.
3 0
3 years ago
the gross earnings • group health insurance (assuming 15% of gross earnings) pension deduction (assuming 6.5% of gross earnings)
sveta [45]

Step-by-step explanation:

<u>Calculate the gross earnings:</u>

  • 40*7.75 = 310.00

<u>Health insurance deduction:</u>

  • 310.00*15/100 = 46.50

<u>Pension deduction:</u>

  • 310.00*6.5/100 = 20.15

<u>Total deductions:</u>

  • 55.00 + 15.50 + 21.25 + 46.50 + 20.15 = 158.40

<u>Net pay:</u>

  • 310.00 - 158.40 = 151.60
3 0
2 years ago
What number is q in the problem -8-q-10q=-9q+6
uranmaximum [27]
For this question you can say:
-8 -11q = -9q +6 
so now you can add +9q on both sides and +8 on both sides of the equation:
-11q + 9q = 8 + 6 
-2q = 14 
q = 14/-2 
q = -7 :)))
I hope this is helpful
have a nice day
8 0
3 years ago
Read 2 more answers
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