Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
<u>BUT</u>, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
There will 80 characters per each line hold. Hope it help!
EXPLANATION
The nth term of the sequence is given by
![U_n=a+(n-1)d](https://tex.z-dn.net/?f=U_n%3Da%2B%28n-1%29d%20)
Where
is the first term and
is the constant difference.
We were given that,
S we just need the common difference to write the nth term.
We can get that from another information given to us.
We were also given that the 4th term is 6. This gives the equation.
We substitute
to obtain
Or
This implies,
![d=-2-2](https://tex.z-dn.net/?f=d%3D-2-2)
We substitute these values into the general formula to obtain,
![U_n=6+(n-1)\times-4](https://tex.z-dn.net/?f=U_n%3D6%2B%28n-1%29%5Ctimes-4)
This gives us,
![U_n=6+-4n+4](https://tex.z-dn.net/?f=U_n%3D6%2B-4n%2B4)
![U_n=10-4n](https://tex.z-dn.net/?f=U_n%3D10-4n)
Hence the nth term of the sequence is,
![10-4n](https://tex.z-dn.net/?f=10-4n)
Answer:
3825
Step-by-step explanation:
Given that we have to pick digits from the list 1, 2, 3, 4, 5, 6, 7, 8, 9 just once and build 4 digit numbers.
Find the two numbers which have the sums as the smallest
Since when the two numbers formed are the smallest the sum will be the smallest, we can pick digits in such a ways that the numbers have value the smallest. If the 1000th digit is small we would get smaller number. So let us take for first digit 1000th place 1 and second number 1000th place as 2.
Similarly for 100th now available are 3,4...8, 9 so let us take 100th digit as 3 and 5 respectively and so on.
So the numbers would be
1357 and 2468
Sum would be ![1357+2468 = 3825](https://tex.z-dn.net/?f=1357%2B2468%20%3D%203825)