= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))
answer is the first choice
Given:
The matrix equation is:
To find:
The value of matrix C.
Solution:
Let 
. Then the given equation can be rewritten as
On substituting the values of the matrices, we get
Therefore, the correct option is C.
First, we get the area of each tile: (100 cm = 1m)
.20 m* .15 m = 0.03m^2
Then, we solve for the total area of the wall:
5m*3m= 15m^2
Then we divide
15/0.03 = 500 tiles
Answer:
F = 3x +(2.7×10^7)/x
Step-by-step explanation:
The formulas for area and perimeter of a rectangle can be used to find the desired function.
<h3>Area</h3>
The area of the rectangle will be the product of its dimensions:
A = LW
Using the given values, we have ...
13.5×10^6 = xy
Solving for y gives ...
y = (13.5×10^6)/x
<h3>Perimeter</h3>
The perimeter of the rectangle is the sum of the side lengths:
P = 2(L+W) = 2(x+y)
<h3>Fence length</h3>
The total amount of fence required is the perimeter plus one more section that is x feet long.
F = 2(x +y) +x = 3x +2y
Substituting for y, we have a function of x:
F = 3x +(2.7×10^7)/x
__
<em>Additional comment</em>
The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.
