Answer:
Step-by-step explanation:
Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if are the zeros of the cubic polynomial , then ,
Here in place of the Greek letters , substitute 2,i and -i , we get ,
Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,
Simplify using i = √-1 ,
Multiply by distribution ,
Simplify by opening the brackets ,
Rearrange ,
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.