Answer:
3000 cm³
Step-by-step explanation:
Volume = Difference of Volumes of the two pyramids
Volume, V1, of the larger pyramid with tip at L:
Base area = area of EFGH = 10²
Height = ML = 15
V2 = ⅓×(10²)×15 = 4000
Volume, V2, of the smaller pyramid with tip at L:
Base area = area of = 10²
Height = OL = OM+ML = 15+15 = 30
V1 = ⅓×(10²)×30 = 1000
Volume = V1 - V2
= 4000-1000 = 3000 cm³
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain
Using the quadratic formula 
where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:
We have two options: 
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length 
Answer:
A one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
Distribute
4x - 20 = 3x+7
Subtract 3x from each side
4x-3x-20 = 3x+7-3x
x -20 = 7
Add 20 to each side
x -20+20 = 7+20
x = 27
There is one solution
Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
