The length of any two sides of a triangle must be larger than the remaining side, otherwise you won't have a connecting triangle.
So if AB is the largest side, then AC needs to be greater than 2. And if AC is the largest side, AC must be less than 8. Which means the answer is B.
Answer:
500
Step-by-step explanation:
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.
They are running at 10 miles per hour.
Follow this as an example
An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a diameter of
10 m
and a depth of
1.4 m
. Suppose water is pumped into the pool at a rate of
11 m3
per hour. How many hours will it take to fill the empty pool?
Use the value
3.14
for
π
, and round your answer to the nearest hour. Do not round any intermediate computations.
The formula for the volume of a cylinder is ∏r2h. The problem gives d=10m, so r=5m.
The pool holds (3.14)*52*1.4 m3 = 109.9 m3 of water.
At a rate of 11 m3 per hour:
( 109.9 m3 ) / (11 m3/hr) = 9.990909 hr.
rounding to the nearest hour, this is 10 hours