Answer:
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:
1/(1/8)= 8 cubes
Answer:
15
Step-by-step explanation:
<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by

Substituting the coordinates of the point C in the above formula, we get;

Therefore, the coordinates of the point C' is (-1,2)
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form
, you need to find the Discriminant with this formula:

For the equation
you can identify that:

Then, substituting these values into the formula, you get that the Discriminant is:


Since
, then
has two distinct real solutions.