2. 1.6-g when g= 1.2
1 answer:
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Step-by-step explanation:
a) Give two pairs which are in the relation and two pairs that are not.
As stated before, a pair is equal mod m (written
) if
. Then:
- x=0 and y=4 is an example of a pair
- x=0 and y=1 is an example of a pair
b) Show the is an equivalence relation.
An equivalence relation is a binary relation that is reflexive, symmetric and transitive.
By definition is a binary relation. Observe that:
- Reflexive. We know that, for every m,
. Then, by definition,
.
- Symmetry. It is clear that, given x,y and m such that
, then
. Therefore
- Transitivity. Let x,y,z and m such that
and
. Then,
. Therefore:
.
In conclusion, defines an equivalence relation.
Answer: 5.83 units
Step-by-step explanation:
Sketching the data above,
Length of segment AD can be computed using Pythagoras rule ;
Where segment AD = hypotenuse
Segment AB = 3 = opposite
Sin Θ = opposite / hypotenuse
Sin 31° = 3 / hypotenuse
Hypotenuse × 0.5150380 = 3
Hypotenuse = 3 / 0.5150380
Hypotenuse = 5.8248120 units
Hypotenuse = 5.83 units
