Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
Answer: 33 televisions in 1 hour
Step-by-step explanation:
99/3=33
Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.
The slope-intercept form of ax-by=c is ;
y = (a/b)x - (c/b).
There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.
- The slope-intercept form usually takes the form ; y = mx + c.
Therefore, the equation ax-by=c can be rewritten thus;
- ax - c = by
- By divIDing both sides of the equation by b, we have ;
- (a/b)x - (c/b) = y
Consequently, the slope-intercept form of ax-by=c is ;
- y = (a/b)x - (c/b).
- where , (a/b) is the slope(m)
- and (-c/b) is the intercept(c).
Read more:
brainly.com/question/12184348
Answer:
I know right?
Step-by-step explanation:
