Answer:
26.5454545455
Step-by-step explanation:
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer:
First of all, the numbers are all positive numbers
They can all be divided by the number 3
They are all rational numbers, this means that they can be expressed as a ratio of two numbers
Answer:
2006 years old.
Step-by-step explanation:
If it had 50% of its carbon-14 it would be 5730 years old.
Since it has 65% left it is younger than 5730 years.
So it is (1 - 0.65) * 5730
= 2005.5 years old.
when the time is between 0 and 15 minutes, the distance depends on the time on a relation: d =(1/10)t
when the time is between 15 and 40 minutes, the distance is independent of the time, it is fixed d = 1.5 miles
when the time is between 40 and 50 minutes, the distance depends on the time on the relation: d = 1.5 + (1/10)(t - 40)
