Step-by-step explanation:
We know that
Volume of square pyramid = a² × h/3
=> (12)² × 8/3
=> 144 × 8/3
=> 48 × 8
=> 384 in³
Now,
We need to find ratio for finding the times of the volume
=> 3456/384
=> 9
Hence,
Volume of pyramid B is 9 times greater than the volume of pyramid A
Answer:
The graph is shifted 7 units and 5 units. Left and Up.
Answer:
34.16 cm
Step-by-step explanation:
side of square base = x
height = h
area, A = 3500 cm^2
Area = x² + 4xh = 3500
4 xh = 3500 - x²
h = (3500 - x²)/4x
Volume = Area of base x height
V = x² h
V = x² (3500 - x²)/4x
V = (3500 x - x³) / 4
Differentiate volume with respect to x
dV/dx = (3500 - 3x²) / 4
It is equal to zero for maxima and minima
3500 - 3x² = 0
x = 34.16 cm
Now differentiate again
d²V/dx² = 6x / 4
It is negative so the volume is maximum.
Thus, for x = 34.16 cm, the volume is maximum.
Given:
The equation is
To find:
The x-intercept and y-intercept of the given equation.
Solution:
We have,
For x-intercept, y=0.
So, the x-intercept is at point (-1.375,0).
For y-intercept, x=0.
So, the y-intercept is at point (0,2.2).
