Answer:
option 4
Step-by-step explanation:
|a| represents Absolute value, it is the distance from zero that a number is on the number line. And we know distance cannot be negative.
So,
Answer:
Option D, the volume is 15.625 cubes
Step-by-step explanation:
For a cube of side length L, the volume is:
V = L^3
for the smaller cubes, we know that each one has a side length of 1 in, then the volume of each small cube is:
v = (1in)^3 = 1 in^3
Then:
1 in^3 is equivalent to one small cube
Here we know that the side length of our cube is (2 + 1/2) in
Then the volume of this cube will be:
V = [ (2 + 1/2) in]^3
To simplify the calculation, we can write:
2 + 1/2 = 4/2 + 1/2 = 5/2
Then:
V = ( 5/2 in)^3 = (5^3)/(2^3) in^3 = 125/8 in^3 = 15.626 in^3
This means that 15.625 small cubes will fill the prism.
So the correct option is D.
Answer:
Step-by-step explanation:
1. h>13
2. n_> 12
Answer:
Step-by-step explanation:
Distribute negative sign.
Combine like terms.
So first thing you need to understand is that ABC and AFE are congruent triangles. This means we can find the other angles, based on ABC:
Angle FAE = 26.56505118 degrees
Angle AEF = 63.43494882 degrees
Angles ECD and DEC are both 45 degrees
Now, we can find the angles in ACE:
AEC = 71.56505118 degrees
ECA = 71.56505118 degrees
CAE = 36.86989764 degrees
