<h3>
Answer: 5</h3>
Explanation:
This is something you could do by trial and error.
The visible numbers are 1,2,3,4,6 which multiply to 144.
Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.
Every other number 1,2,3,4,6 is a factor of 144.
1*144 = 144
2*72 = 144
3*48 = 144
4*36 = 144
6*24 = 144
You just need a calculator.
The answer is 3.1821
Source: A caluculator
Answer:
The width and length of rectangle is 12.728 m
Step-by-step explanation:
Let the length of the rectangle = L
let the width of the rectangle = W
The subjective function is given by;
F(p) = 2(L + W)
F = 2L + 2W
Area of the rectangle is given by;
A = LW
LW = 162 ft²
L = 162 / W
Substitute in the value of L into subjective function;

Take the second derivative of the function, to check if it will given a minimum perimeter

Determine the critical points of the first derivative;
df/dw = 0

L = 162 / 12.728
L = 12.728 m
Therefore, the width and length of rectangle is 12.728 m
Answer:


Step-by-step explanation:
We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).
Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.
The value of x can be calculated using:

Using this function in a calculator (you may find it as:
), we have that:

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

So the values of x are:

