Answer:
yes you can go 24.3miles with 15.3 gallons of gas
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:
Step-by-step explanation:
p = 106
L = 8 + 4W
p = 2L + 2W
p = 2(8 + 4W) + 2W
p = 16 + 8W + 2 W
p = 16 + 10W
106 = 16 + 10W
106 - 16 = 10W
90 = 10W
90/10 = W
9 = W
<h2>W = 9</h2><h2 />
L = 8 + 4W
L = 8 + 4(9)
L = 8 + 36
<h2>L = 44</h2>
44 + 44 + 9 + 9 = 106
44 * 9 = Area = 396
Answer:
The third option (9+
--
)
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×
)-(3×)-()².
Solving these gives 9+--7. This is the same as 9+--.
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
