Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)
Proof:
We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:
N + 2N > 3N
3N > 3N
3 > 3
which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.
Answer:
C. 
Step-by-step explanation:
c
Answer:
Step-by-step explanation:
Step-by-step explanation:
By taking ( x = 18°)
<u>L.H.S</u>
cos(3x)=sin(2x)
cos(3x) = cos( 3X18°)= cos (54°)
= cos[ 90° - (2x18°)] ∵[ 90°- (2x18°) = 54°]
= ∴ sin ( 2x18°)
As (x = 18°)
= sin (2x) = R.H.S
6% is less than 1, so it can't be any whole number.
Answer:
<h2>It is Theoretical probability.</h2>
Step-by-step explanation:
Theoretical probability determines the likelihood of some incidents to happen.
Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.
Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is
.
Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.