9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
The sides must be long enough to make a triangle. (If the sides are not long enough, they won't meet, so cannot form a triangle.)
_____
If your version of the triangle inequality includes the "or equal to" case, then the segments must be long enough to meet, even though the result may look like a line segment.
Answer:
Justification defenses include Necessity,Defense of others, Defense of property, Law Enforcement Defense, Consent. Excuse defenses include Duress, Entrapment, Ignorance of the Law, Diminished Capacity Defense, Provocation, Insanity Defense, and Infancy Defense.
Step-by-step explanation:
Answer:
the answer is B. 99x + 84 ≥ 1,150
Step-by-step explanation:
the total price of the shirts was 84 dollars
the price of the watches was 99 each which is 99x
and it has to be less than 1150 or equal to that amount otherwise she would go over her savings
In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.
