Answer:
a^2-1
Step-by-step explanation:
(a+1)(a-1)
=a^2-1
We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)
24/x = 8/5
24*5 = x*8
120 = 8x
8x = 120
8x/8 = 120/8
x = 15
The tree is 15 feet tall
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:
Where:
r: is the radius
h: is the height = 50 cm
The volume of metal () can be found by subtracting the internal volume () from the external volume ():
The external radius is given by the sum of the internal radius with the tickness:
Hence, the volume is:
Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!