Look at the figure:

1 answer:

7 0

PLZ HELP IVE BEEN WAITING FOR 1HR : A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

The prism is filled with cubes that have edge lengths of 1/4 in.

How many cubes are needed to fill the rectangular prism?

You might be interested in

Which expression is a cube root of -1+i sqrt3

Marina CMI [18]

If $z=-1+i \sqrt{3}$ , then

$Rez=-1$
$Imz= \sqrt{3}$ and
$|z|= \sqrt{Re^2z+Im^2z}= \sqrt{1^2+ (\sqrt{3})^2 }= \sqrt{4}=2$ .
Then $cos\theta = \frac{Rez}{|z|} = \frac{-1}{2}$ $sin\theta = \frac{Imz}{|z|}= \frac{ \sqrt{3} }{2}$ .

Since $\theta \in (-\pi,\pi]$ , you can conclude that $\theta= \frac{2\pi}{3}$ .
The triginometric form of z is $z=|z|(cos\theta+isin\theta)=2(cos \frac{2\pi}{3} +isin \frac{2\pi}{3} )$ .
Use formula $\sqrt[3]{z} =\{ \sqrt[3]{|z|} (cos \frac{\theta+2\pi 
k}{n}+isin \frac{\theta+2\pi k}{n} ), k=0,1,2\}$ to find cube root.
For k=0, $z_1= \sqrt[3]{2} (cos \frac{ 
\frac{2\pi}{3} }{3} +isin\frac{ \frac{2\pi}{3} }{3})= \sqrt[3]{2} (cos 
40^0+isin 40^0)$ ,
For k=1, $z_1= \sqrt[3]{2} (cos
 \frac{ \frac{2\pi}{3}+2\pi }{3} +isin\frac{ \frac{2\pi}{3}+2\pi }{3})= 
\sqrt[3]{2} (cos 160^0+isin 160^0)$ ,
For k=2, $z_1= \sqrt[3]{2} (cos \frac{ \frac{2\pi}{3}+4\pi }{3} +isin\frac{ 
\frac{2\pi}{3}+4\pi }{3})= \sqrt[3]{2} (cos 280^0+isin 280^0)$ .
Answer: The correct choice is C.

4 0

4 years ago

Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the o

pav-90 [236]

Answer:

(-2,-3)

Step-by-step explanation:

look at the pic for a little bit of an understanding.

i hope this helps

have a nice day/night

mark brainliest, please :)