Answer:
2
Step-by-step explanation:
Simplify using PEMDAS
(first divide 25/5 then add the rest up)
Answer:
x = 13 feet
Step-by-step explanation:
Answer:
They'll be on page 72
Step-by-step explanation:
Kaylee:
Current page = 24
Page per day = 16
Page, K, Kaylee is on at end of t days
K = current page + (page per day * Number of days)
K = 24 + 16t
Josiah:
Current page = 50
Page per day = 14
Page, J, Josiah is in at the end of t days
J = current page + (page per day * Number of days)
J = 50 + 14t
To be on the same page ;
K = J
24 + 16t = 50 + 14t
24 - 50 = 14t - 16t
- 26 = - 2t
t = 13
After 13 days, they'll be on same page :
K = 24 + 16(13)
K = 24 + 48
K =72
They'll be on page 72
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.