2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
the second has 5 ways
Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways
b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
the first has 10 ways
the second has 10 ways
the third has 10 ways
Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000
Answer: 350km
Step-by-step explanation:
Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:
= 5 × 70km
= 350km
Therefore, the answer is 350km
Answer: Equation of the line from D to C is y=2x+6?
Step-by-step explanation: Lines A to B and D to C looks parallel meaning they have the same slope but different Y intercept?
Answer:
The length of the longest side is 68mm
Step-by-step explanation:
The perimeter of a triangle is equals to the sum of all its sides
P=a+b+c
The triangle is isosceles, so two of its sides are equal, have the same length.
So: a=b, then
P=2a+c=168mm
Moreover, we know that the base is 18mm more than each of the legs, this means: c=18mm+a, where we obtain that a=c-18mm.
So, the system of equations is solved, lets use the above result in Perimeter`s equation.
168mm=2*(c-18mm)+C
From here we have:
168mm=3c-36mm
We obtain the following result: c= 68mm, this the length of the longest side
