Answer:
See the argument below
Step-by-step explanation:
I will give the argument in symbolic form, using rules of inference.
First, let's conclude c.
(1)⇒a by simplification of conjunction
a⇒¬(¬a) by double negation
¬(¬a)∧(2)⇒¬(¬c) by Modus tollens
¬(¬c)⇒c by double negation
Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.
An alternative approach to De Morgan's law is the following:
By contradiction proof, assume h is true.
h⇒d∨h by addition
(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.
Answer:
80°
Step-by-step explanation:
The sum of the two angles (red and blue) is 145°, so you have ...
(4x +5)° +(6x -10)° = 145°
10x = 150 . . . . . . . . divide by °, add 5, simplify
x = 15 . . . . . . . . . . . divide by 10
Then the measure of the angle of interest is ...
m∠XMN = (6x -10)° = (6·15 -10)° = 80°
Answer:
530 grams
Step-by-step explanation:
970 grams = 0.970 kg
1 kg = 1000 grams
Thus: 500+30 = 530 grams
Answer:
Rate of change = 4,06 f/min
Step-by-step explanation:
The ascendent length 28 9/10 = 289/ 10
The time for that ascendent maneuver is total time 17 1/8 minutes - spended time in the elevation 10 minutes, then
17 1/8 = 137/8
137/8 - 10 = ( 137 - 80 ) /8 = 57/8 minutes
The rate of change in the diver´s elevation is
289 / 10 / 57/8
Rate of change = 289*8/ 57*10
Rate of change = 2312 / 570 ft/min
Rate of change = 4,06 f/min
