The values are and
Explanation:
The expression is
Simplifying, we get,
Since, both sides of the expression are equal, we can equate the corresponding values of A, B, C and D.
Thus, we get,
⇒ and
Also, equating, , we get,
and
Thus, the values are and
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.
3/2 = 6
6/4= 6/40= 6 .999= ~ 7
Answer:
See attached
I got an answer of 125.2411251548
or to the nearest tenth 125.2
Step-by-step explanation:
Answer:
The line equation in slope-intercept form is:
Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points
As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4
Therefore, the line equation in slope-intercept form is:
Hence, option D is true.