







The area of a lot 
20221231 

From Brian: To calculate lot size, do you use arc length or chord length?
Lot Survey shows:
Length 1 = 120.0'
Length 2 = 120.0'
Width 1 = 61.0'
Width 2 = ARC Length 125.58' / CHORD Length 124.10' / Radius = 236.0' Answered by Harley. 





A lock combination 
20220719 

From Kendal: If I tried I could probably (I think) figure the answer but it would take a minute and I hoped maybe as math people there may be a simple formula… I just watched a new movie Black Phone, the kid is given 5 numbers for a combination lock in order but with no indication where the stops are. The numbers (in order) are 23317, my question is how many possibilities with a standard combination lock are there…ie. 23317, 23317, 23317…. As you can imagine not a great movie…my curiosity may get the best of me depending on how your app works ;). Thanks for your time. Answered by Penny Nom. 





Strings of letters 
20220425 

From Javar: How many different combinations can I make with A 12 selection list but only
using A&B
Example:
A,B,A,B,A,B,A,B,A,B,A,B
A,B,B,A,A,B,B,A,A,B,B,A
B,B,A,A,B,A,B,A,B,A,A,B Answered by penny Nom. 





The length of a line at 45 degrees 
20220409 

From Aiden: Let's say one line is diagonal and one line is vertical.
If they eventually meet at a 45 Degree angle,
How long will the diagonal line be compared to the vertical line?
(For Example: If The Vertical Line is Exactly 1 Inch. Answered by penny Nom. 





sec(pi/12) 
20220323 

From Diana: Please help me find the exact value of the following trigonometric expression:
sec(pi/12). Thanks! Answered by Harley Weston. 





A word problem 
20220129 

From Ric: Box of oranges weighs 9 pounds. 2/3 of oranges eaten. Box and
remaining oranges weighs 4 pounds. What is weight of box when
empty? Answered by Penny Nom. 





The next rational number 
20220114 

From Sophia: what comes after 3 1/2? Answered by Penny Nom. 





A graph with 100 vertices and one edge 
20220111 

From Maftuna: A graph has 100 vertices and only one edge. How many connected components does it
have? Answered by Penny Nom. 





A Word Problem 
20211217 

From Bryson: Yolanda, Brian, and Charlie have a total of in their wallets. Brian has less than
Yolanda.
Charlie has times what Brian has. How much do they have in their wallets? Answered by Penny Nom. 





The height of a right triangle 
20211215 

From Slash: hi how can i find the height of a triangle from the hypotenuse and base. please
go into some details with some steps because it is hard to understand. thanks Answered by Penny Nom. 





Simplifying a complex expression 
20211215 

From Grace: Write in the form. a+bi,
67i+8i^2+4i35i^4 Answered by Penny Nom. 





Roll of film 
20211120 

From Brian: Trying to create a formula to calculate the build up on a roll of film is calculated. Except instead of of a roll, it's essentially a rectangle with two semicircles on each at the end.
Example: I start with a 6" diameter core on each side, and I start winding .005"
thick film on the core. The distance between the center of those cores, length of the inner rectangle is 7.125.
If I continue to do this for a total length of film of 3000 feet, what will the
roll length and width be.
So what I need is the formula to perform this type of calculation.
Can you help me? I want to be able to plug the formula in a spread sheet and to be able to input a core diameter, a film thickness and a total length and the length between the center of the two cores(which is the inner rectangle's length I'm assuming).
Thanks Answered by Harley Weston. 





The sides of a 5pointed star inscribed in a circle 
20210918 

From Scott: Is there a calculation for the length of each side of a fivepointed star?
I am not worried about area but if I have a circle with a 7.5 foot radius and
place a star inside it, how can I measure the lines creating the star? Answered by Harley Weston. 





The dimensions of a rectangle 
20210909 

From Ash: I need to know how to figure out the dimensions of a rectangle. I know that the
area is 30ft and the perimeter is 26ft. I'm 15 and I have no idea what I'm
supposed to do. Answered by Harley Weston. 





30 % off 
20210907 

From Corrine: When I am shopping for clothing that is for sale, the advertisement may say the item is 30% off. The original price was $70. How much would it now be? (how do I figure that out?) Thank you! Answered by Penny Nom. 

