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LUCKY_DIMON [66]

3 years ago

13

A local company makes cement posts in the shape of the following three-dimensional composite. The cone and cylinder both have th

e same radius, while the height of the cylinder is 3 times the height of the cone. Which equation can be used to find the total volume of the cement post?

1 answer:

Free_Kalibri [48]3 years ago

8 0

Answer:

Hi, the answer is B. V=10/3pir^2h.

Step-by-step explanation:

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What is the solution of the equation over the complex numbers

denis-greek [22]

<u>Answer:</u>

$2i\sqrt{3}$

$-2i\sqrt{3}$

<u>Step-by-step explanation:</u>

$x^2 + 12$

First set the equation to 0

$x^2 + 12$

$x^2 + 12 = 0$

Second, get the 12 on the right side of the equal sign by adding a -12 to each side

$x^2 + 12 = 0$

$x^2 + 12 + (-12) = 0 -12$

$x^2 = -12$

Square root both sides of the equal sign.

$x^2 = -12$

$\sqrt{x^2} = \sqrt{-12}$

Take the square root on left sides of the equal sign.

$\sqrt{x^2} = \sqrt{-12}$

$x = \sqrt{-12}$

Take the square root on the right side of the equal sign. Remember $\sqrt{-1} = i$

$x = \sqrt{-12}$

$x = \sqrt{4}*\sqrt{-1}\sqrt{3}}$

$x = 2i\sqrt{3}$

<u>AND</u>

$x = -2i\sqrt{3}$

8 0

3 years ago

WILL GIVE BRAINLIEST BE FAST!!

Papessa [141]

Black line (a) -
x = -2
Purple line (b) -
x = 3
Blue line (c) -
y = 6
Green line (d) -
y = -3
Red line (e) -
Not sure

6 0

2 years ago

(12x + y + z = 26

mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

$\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}26\\17\\23\end{array}\right]$ .

Step 3:

The linear system B is represented as

$\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}23\\17\\26\end{array}\right]$ .

Step 4:

The linear system C is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}4\\11\\12\end{array}\right]$ .

Step 5:

The linear system D is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}12\\11\\4\end{array}\right]$ .

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Annika borrowed a book

ZanzabumX [31]

Answer:

Annika was 14 days late with her book.

Step-by-step explanation:

The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.

4.00 - 1.00 = 3.00

3.00/0.30 = 10

Therefore, Annika was 4 +10 = 14 days late with her book.

6 0

3 years ago

2(x+2)-5=3(x+1)

Eva8 [605]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

$2(x + 2) - 5 = 3(x + 1) \\ 2x + 4 - 5 = 3x + 3 \\ 2x - 1 = 3x + 3 \\ - 1 - 3 = 3x - 2x \\ - 4 = x$

5 0

2 years ago

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