Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = 
d
Plug in 11 as C, and solve for d:
C = d
11 = d
11 = d
So, the diameter is 11 feet
= x·[2(x²- 4x + 4) + 3(x² + 6x + 9) - x² + 5x]
= x(2x² - 8x + 8 + 3x² + 18x + 27 - x² + 5x)
= x(4x² + 15x + 35)
The answer for number 16 is 20
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.")
