







Two linear equations with a fraction 
20190426 

From Asha: 2x=3y …1
x2+4/3(y+1) ...2
note: … is equation Answered by Harley Weston. 





Constructing a hexagonal pyramid 
20190425 

From REBECCA: I'm doing a project for my Honors Geometry class and I have to build a regular hexagonal pyramid. I was given the volume of .75 gallons, but I don't know how to figure everything else out. Please help?
Thanks,
Rebecca Answered by Harley Weston. 





Three friend's ages 
20190425 

From Lemicio: Janet is 10 years older than Karin, who is twice the age of Josef. If their combine age is 55, how old is each one now? Answered by Penny Nom. 





80% of an item is $200.00 80% of an item is $200.00 
20190425 

From kayla: if 80% of a item is $200.00 what is the original price Answered by Penny Nom. 





Is every rectangle a rhombus? 
20190425 

From Danny: Is a rectangle a rhombus??? True or False Answered by Penny Nom. 





The area of a triangle 
20190425 

From troy: The base and the height of a right triangle are represented by the expressions below.
The area of the triangle is 28 square units. Find the lengths of the base and the height
of the triangle
base= x+4
height=x6 Answered by Penny Nom. 





(3d) Whether line segment intersects triangle 
20190413 

From rj: Well hello,
Lets say I have a triangle,
Not any ordinary triangle, but a triangle that is represented in 3 dimensions. I also have a line segment.
Lets say that this triangle has points A(0,0,0), B(1,0,0), C(0,1,1)
And the line segment has points D(0,1/2,0), E(1,1/2,1)
In what way can I find if the line segment and triangle intersect? Their intersection point?
I don't prefer matrices, because they don't make any sense, but ... if that's the only way to solve this, then do what's necessary.
Thank you in advance. Answered by Penny Nom. 





An equilateral triangle 
20190410 

From ethan: In equilateral triangle RST, R has coordinates (0, 0) and T has coordinates of (2a, 0). Find the coordinates of S in terms of a. Answered by Penny Nom. 





More on dominoes 
20190409 

From B: A previous answer
(http://mathcentral.uregina.ca/QQ/database/QQ.09.00/mark2.html)
considered a method to make a line of all 28 dominoes.
Since there are an even number of each value, such a solution can be put into a circle.
Aside from the choice of starting tile, is the solution unique? Answered by Penny Nom. 





The area of a lot 
20190406 

From Robert: Can you help me determine the rough square footage of this lot please(attached)? I think it is nearly 7000 square feet. I am sure I need the degrees of of the corners but I don’t have that. An estimate would be all I need.
Thank you for you help.
Rob Answered by Harley Weston. 





The height of a building 
20190405 

From Hayley: A young man is 36 meters away from a building and looking at a bird sitting on top of the building. The man knows he is 85 meters away from the bird. How tall is the building? Answered by Penny Nom. 





4^x=2^x+6 
20190405 

From Olivia: How do you find the (b,n) if the solution of the equation 4^x=2^x+6 can be expressed at logb(n) where b and n are both prime numbers? Answered by Penny Nom. 





Salary Plus Commission 
20190405 

From Herschel: Fire Fighting Equipment pays salespeople as follows: $452 per week plus a commission of .9% on sales between $15,000 and $25000, with 1.1% paid on sales in excess of $25,000. Find the gross earnings for an salesperson whose Total Sales are $28,400. (No commission is paid on the first $15,000 of sales) Answered by Penny Nom. 





Percentage change in refractive error 
20190404 

From Ammara: Hi, I'm trying to figure out how a paper I'm looking at has found a percentage from the numbers below. its a paper comparing two lenses. it says that the new lenses 'slowed the progression of refractive error by approximately 50%'.
the refractive error with the old lenses was 2.26 after two years it was 3.28
the refractive error with the new lenses was 2.24 after two years the refractive error is  2.75
Thank you so much for your help it is most appreciated! Answered by Penny Nom. 





Internal acute angles 
20190402 

From karan: Prove that a convex polygon cannot have more than three acute internal
angles. Answered by Penny Nom. 

