Answer:
The length of AB is 4.33012701892
Step-by-step explanation:
1. You find 10*sin(60 degrees), because sin(60 degrees) = x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.
2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.
Answer:
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
d. Yes
Step-by-step explanation:
This is a statement of logical connectives.
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
d. Yes, (c) follows from (a) and (b)
Reasoning:
(c) is equivalent to ∀x ¬ P(x) ∨ Q(x)
Proof:
Follow the tautology (X→Υ) Ξ(¬x∨Υ)
This gives X: R(x) ∧ ¬ P(X)
Answer:
C.
Step-by-step explanation:
If it is linear, or has a slope, or is in a straight line, then the line will be proportional.
I think it is B. Hope this helps!