S = 180° ( n - 2 )
The equation for n is:
n = s / 180° + 2
s = 1,260°
n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.
<span>(serial number, model number)
That's a function mapping each serial number to its model number.
(part number, serial number)
That's not a function; the same part number is in computers with different serial numbers
</span><span> (model number, part number)
</span><span>
That one's a bit confusing. Normally a given model would have more than one part number inside so this isn't a function. But here the description says there's only one part number for each model, so that would be a function.
(model number, serial number)
Not a function, more than one serial number for a given model number.
</span>
Step-by-step explanation:
a) 7!
If there are no restrictions, answer is 7! as it is the permutation of all animals.
b) 4! x 3!
As cats are 6 and Dogs are 5, thus 1st and last must be cats in order to have alternate arrangements. Therefore the only choices are the order of the cats among themselves and the order of the dogs among themselves. There
are 4! permutations of the cats and 3! permutations of the dogs,
so there are a total of 4! x 3! possible arrangements of the suites.
c) 3! x 5!
There are 3! possible arrangements of the dogs among themselves. Now, if we consider the dogs as one ”object” together, then we can think of arranging the 4 cats together with this 1 additional object. There are 5! such arrangements possible, so there are a total of 3! · 5! possible arrangements of the suites.
d) 2 x 4! x 3!
As required that all the cats must be together and all the dogs must be together, either the cats are all before the dogs or the dogs are all before the cats. There are two possible arrangements thus two times of both possibilities is the answer i.e. 2 x 4! x 3!
120 minutes
Step by step:
divide 20 by 2.5 to find how many minutes it takes to drive 1 mile, then multiply that by 15 miles
Answer:
speed=225.75 miles per hour
Step-by-step explanation:
given:
s=301/2
t=2/3
we have,
v=s/t
v=(301/2)/(2/3)
=(301/2)×3/2
=903/4
v=225.75
therefore, speed of car will be 225.75 miles per hour
