Let
x-----------> the side length of a pyramid square base
h-----------> the height of the sculpture in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- this equation can be used to find the length of the sculpture’s base

using a graph tool-----------> to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
the length of the sculpture’s base is 9 cm
the height of the sculpture is 6 cm

8 0

3 years ago

Find two numbers if their sum is 6.1 and their difference is 1.6

Nimfa-mama [501]

A+b=6.1 ---(1)
a-b=1.6 ---(2)

(1)+(2); 2a=7.7
then a=3.85
so b=a-1.6 = 3.85-1.6 = 2.25

so that the two numbers are 2.25 and 3.85

5 0

3 years ago

Do you think a polynomial can be a factor of another polynomial?

Vladimir [108]

Answer:

Yes

Step-by-step explanation:

Example

x+2 is a factor of 2x+4.

2(x+2) = 2x+4.

6 0

3 years ago