In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find. We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV: XV^2=XW^2+WV^2-2(XW)(WV)cos W Replacing the known values: 116^2=96^2+89^2-2(96)(89)cos W Solving for W 13,456=9,216+7,921-17,088 cos W 13,456=17,137-17,088 cos W 13,456-17,137=17,137-17,088 cos W-17,137 -3,681=-17,088 cos W (-3,681)/(-17,088)=(-17,088 cos W)/(-17,088) 0.215414326=cos W cos W = 0.215414326
Solving for W: W= cos^(-1) 0.215414326 Using the calculator: W=77.56016397° Rounded to one decimal place: W=77.6°
A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
Disjunctions are of the basic form A v B. The "v" basically means "or".
Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".
4is the number of variable terms that are in the expression 3x3y + 5x2 _ 4y + z + 9. The four variable terms in the expression are "xy", "x^2", "y" and "z"
