Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
Answer:
12^4 or 20736
Step by Step Instructions:
really all you have to do is subtract the exponents. 12^7-12^3=12^4, if you want to expand the numbers you can do it that way too. 12^7=35831808, 12^3=1728, 35831808/1728=20736 (which is the same as 12^4)
If the rectangle ABCD is similar to rectangle EFGH, side CD is proportional to the side
C. GH
The order of the letters in naming the rectangle gives us which sides are adjacent in rectangle and which sides correspond to the other rectangle.
The distance of the point <span>(8, 3.25) </span>to the x-axis (the horizontal line) is 3.25.
incorrect - A.) is 4.75 away from the x-axis
This one is correct - B.) is 3.25 away from the x-axis
incorrect - C.) is 7 away from the x-axis
incorrect - D.) Actually one of the above answers it correct
Hope this helps
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.

. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2