Mark:
bit
W8 = chubby
TTH:
bit
W8 = a bit over weight
"You admit to knowing this"
I admit to nothing; it was a typo!
TREES:
"I came up with 3 ft for the circumference if I rounded?"
That was better than anyone else came up with.
A pine tree grows:
a. 1/4 inch thick ring per year for first 60 years,
b.1/3 inch thick ring per year in the next 80 years,
c.1/2 inch thick ring per year in the next 200 years,
1. How many inches in diameter would a 50 years old tree grow to?
Within 60 years, it grows 1/4 inch per year, rate =1/4 inch/year, time = 50 years
Radius of the tree ( thickness) = rate * time= 1/4 * 50=12.5 inches
D = 2 R= 2*12.5= 25 inches
2. Circumference of a 123 year old tree?
First 60 years, Radius= 1/4 * 60 = 15 inches
within next 80 years: rate= 1/3 inch/year, time = 123-60=63 years
radius= rate * time= 1/3* 63= 21 inches
so total radius = 15 + 21 = 36 inches
circumference = 2 Pi R= 2*pi*36=72 Pi inches
3. What would be the radius of a tree with 310 rings?
310 rings means 310 years; so for the first 60 years radius = 1/4 * 60=15 inches;
for the next 80 years radius = 1/3 * 80 = 80/3 inches
for the next 200 years, rate= 1/2 inch/year, time = 310 -60-80=170 years
radius= rate *time= 1/2 * 170= 85 inches
so total radius = 15+80/3 + 85
A rectangular board of 8 columns has squares numbered beginning in the upper left corner and moving left to right so row one is numbered 1 through 8, row two is 9 through 16, and so on.
Mark takes a pencil from his fancy pencil case and shades square 1, then skips one square and shades square 3, skips two squares and shads square 6, skips 3 squares and shades square 10, and continues in this way until there is at least one shaded square in each column.
What is the number of the shaded square that first achieves this result
c
111120 km