All categories

3 years ago

How many cubes are needed to pack the solid box?

Mathematics

2 answers:

Stolb23 [73]3 years ago

6 0

D.16. There is 8 on each side. Add them together and get 16

shepuryov [24]3 years ago

4 0

Answer:

D. 16

Step-by-step explanation:

If we look down the right side, we see 8 cubes.

There are 8 cubes on the left side

8+8 = 16

You might be interested in

The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge

Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

$\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}$

$\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0$

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply $R_1\rightarrow R_1-4R_2$ and $R_3\rightarrow R_3-2R_2$

$\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]$

Apply $R_2\rightarrow R_2-R_1$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0

3 years ago

What is the volume of the cylinder

bekas [8.4K]

Answer:

Step-by-step explanation:

The formula for a cylinder is V = (pi) (r^2) (h) so 12*12 is 144. 144*pi*17 is 2448 pi units cubed.

5 0

3 years ago

-4x+3x=2 how do I solve for x?

Snezhnost [94]

Answer: Combine like terms!

Step-by-step explanation:

-4x + 3x = 2

-1x = 2

-1x/-1 = 2/-1

x = -2

7 0

3 years ago

Which choice is the correct statement about " ehensive^ prime insurance?

kifflom [539]

Where are the choices- lololol

3 0

3 years ago

Find the area of the trapezoid 14.5 8 19.5

Svetlanka [38]

Step-by-step explanation:

Which one is the height?¿

The formula is

b1+b2 divided by 2 times the height

That's the best I can do for you atm atleast.

8 0

3 years ago