Answer:
Step-by-step explanation:
We were given the complex numbers;
and
We want to find the product;
We substitute the complex numbers into the expression and simplify:
This is rewritten as:
Note that
We substitute to obtain:
Let us expand to get:
This simplifies to:
This gives:
Answer:
The height of the tower = 24 units.
Explanation:
In the question above, we are given the following variables.
The total number of blocks used = 312 blocks
The bottom layer( base of the tower) = 13 blocks
We are to find how tall the tower is = height of the tower = unknown.
The total number of blocks used = Volume of the tower = 312 cubic units(blocks)
Area of the base = number of the blocks used in the bottoms layer = 13 square units( block).
Because blocks are used, we assume that this is a Rectangular based prism
The Volume of a Rectangular based prism = Area of the base × h
312 = 13 × h
h = 312 cubic units ÷ 13 square units.
h = 24 units.
There fore, the height of the tower = 24 units
A line of symmetry<span> for a graph. The two sides of a graph on either side of the </span>axis of symmetry<span> look like mirror images of each other. Example: This is a graph of the parabola y = x</span>2<span> – 4x + 2 together with its </span>axis of symmetry<span> x = 2. The</span>axis of symmetry<span> is the red vertical line.
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Well since 20-15 equals 5...
The equation is now 138-5, which is 133.
Let x% be the salt concentration of first solution.
Then in 8ml, amount of salt = 
Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.
amount of salt in 11ml of 47% salt solution is = 
So, total amount of salt in new mixture = 
But given that this new solution is a 43% salt solution.
Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is 
Hence 
8x+517 = 817
8x=817-517 = 300
x= 300/8 = 37.5
Hence the salt concentration in the first solution is 37.5%
