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2 years ago

What is the volume.....please show work...need answer asap....thank you

Mathematics

1 answer:

koban [17]2 years ago

7 0

To find the volume, we should find the area of the triangle, the multiply by the depth of the object.

Area of Triangle = 1/2 * base * height = 5.7cm * 7.6cm / 2 = 21.66cm^2

Multiplying this by the depth of the object and we find:
21.66cm^2 * 4.8cm = 103.968cm^3
which we can round (if needed) to 103.97cm^3

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

The entry fee for a charity event is $15 per pair of people. The fee can be

Genrish500 [490]

Answer:

660

Step-by-step explanation:

First, to find out how much money they have collected so far, you need to add 7100 + 1300 which is 8400. 8400= $8.40. So now you know that they have collected 8.40, you need to subtract 1500-840 which = 660

Hope this helps!

6 0

2 years ago

Read 2 more answers

What property or properties are not used when solving the following equation -3(4x-8)=-36

BigorU [14]

Either B or D I’m not really sure but I know it’s one of this answers

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2 years ago

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I need help big time. What are the step by step math problem to (-3+2)^2 to get the answer?

Alexxx [7]