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.")
Probability =
(number of ways to succeed) / (total possible outcomes) .
There are 6 total possible outcomes of rolling one honest die.
Only one of them is a ' 4 '.
-- So the probability of rolling a '4' on the first roll is 1/6 .
-- The probability of rolling a '4' on the second roll is 1/6 .
-- The probability of BOTH events is
(1/6) x (1/6) = 1/36 = (2 and 7/9) percent .
6.25 is the answer to the problem
Answer:
17
Step-by-step explanation:
35 - 18 equals that
