Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
Answer:
It will take 146 days to earn an interest of $80.
Step-by-step explanation:
The simple interest formula is:

It is provided that:
I = $80
P = $4,000
r = 5% p.a.
Compute the time required as follows:



Thus, it will take 146 days to earn an interest of $80.
Answer:
P = 16
Step-by-step explanation:
Given
5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation
5(4) = 2P + 3(- 4), that is
20 = 2P - 12 ( add 12 to both sides )
32 = 2P ( divide both sides by 2 )
16 = P
The height of the trapezoid is 2 cm