Answer:
B
Step-by-step explanation:
- 3/2 is - 1.5 , and B is - 1.5
Answer: (0,12)
Step-by-step explanation:
Tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3
<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
</span>
<span>Trapezoid area = (9 + 15) /2 * height
</span><span>Trapezoid area = 12 * 3
</span><span>Trapezoid area = 36
</span>
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:
4 + 1 + 20 + 100 = 1000
5 + 20 + 100 = 1000
25 + 100 = 1000
125 = 1000
The equation would be false because 125 does not equal 1000
Step-by-step explanation:
