Answer:
- see the attached for the sums
- the magic number (sums of rows, columns, diagonals) is -6
Step-by-step explanation:
The directions tell you what to do and give an example. That work is to be repeated 15 more times. The work is tedious, at best. I found it slightly less tedious to enter the 64 numbers into a spreadsheet and let it do the sums. See the attached for the result.
At the bottom of the array are the sums of columns. At the right are the sums of rows. The upper right and lower left numbers are the sums of the corresponding diagonals.
The "pattern" is that the sums are all -6, which is what you expect from a magic square.
The trigonometric function is given as
Apply the half angle identity to find the value of tan 75 ,
Here,
![\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}](https://tex.z-dn.net/?f=%5Ctan%20%2875%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B1-%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%7D%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B2-%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%7D%5E%7B%7D)
![\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}](https://tex.z-dn.net/?f=%5Ctan%2075%5E%7B%5Ccirc%7D%3D%5Cfrac%7B1%7D%7B2-%5Csqrt%5B%5D%7B3%7D%7D)
Now rationalize the function.
![\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}](https://tex.z-dn.net/?f=%5Ctan%2075%5E%7B%5Ccirc%7D%3D%5Cfrac%7B1%7D%7B2-%5Csqrt%5B%5D%7B3%7D%7D%5Ctimes%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%3D%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B4-3%7D%3D%5Cfrac%7B2%2B%5Csqrt%5B%5D%7B3%7D%7D%7B1%7D)
Again simplify the trigonometric function,
Hence the answer is 3.732.
Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
What you need to do is take $2874 and divide the 5% and then times the 9 by what you get
Answer:
-1
you use the given functions to set up and simplify f(2)
