Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Answer:
x=8
Step-by-step explanation:
When trying to figure this out, you may see that x might be 8. Since the angels are all 120 degrees and equal up to 360 degrees (full size,) x will equal 8.
Answer:
216mx meters
Step-by-step explanation:
m is in minutes so convert it in hours = 60m hrs
Speed is in metres per second, convert it in kilometers per hour= 18x/5
Now we’ve time and speed, put it in the formula
Distance = speed x time
= 18x/5 x 60m
= 216mx meters
Hope it helps
Assuming that the numbers haven't been rounded off, then yes, they are the same.