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:
10.5
Step-by-step explanation:
You can use ratios to solve this problem.
The original dimensions of the photo is
5 in. by 7 in.
This can be written as:
5:7
And the next is 7.5:?
Then you can use ratios to solve this.
5:7=
7.5:?
5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5
The width is 10.5 inches.
Answer:
Step-by-step explanation: First Whats 9+10 Its 21 soooo yea 2nd u get smart 3rd Be a GIGA CHAD
Answer:
1 / 9
Step-by-step explanation:
P(Green) = 5 / 10
P(Blue) = 3 / 10
P(Red) = 2 / 10
These are independent events as one cannot occur at the same time as the other so can multiply their probabilities together
First choice green: 5 / 10
The denominator will decrease because we arent replacing the marbles after we take one out of the bag
Second choice red: 2 / 9
So
5 / 10 x 2 / 9
10 / 90 = 1 / 9
The odds against picking an i are 5:3, since there are 5 letters that are not i and 3 letters that are.
