17 + 2 = 19 km is 1/2 of the total length, that is,

19 = (1/2)h

(1/2)h = 19 multiply both sides by 2

h = 2*19

h = 38 km

The total length in kilometers is 38 km

3 0

3 years ago

Help pls!! Based on this information, which statement must be true?

choli [55]

Answer:

I am not sure...it's either option 3 or 4....

go with option 4

7 0

3 years ago

Which of the following is the correct expanded form for the series below?

Daniel [21]

Answer: Option A is correct that is $1 +1+\frac{1}{2} +\frac{1}{6}$

Explanation:

we will substitute the values of n in given expression

$\sum_{n=1}^{4}\frac{n}{n!}$

when substituting n=1 we get in $\sum_{n=1}^{4}\frac{n}{n!}$ = $\frac{1}{1!}$

when n=2 we get $\frac{2}{2!}$

when n =3 we get $\frac{3}{3!}=\frac{3}{6}=\frac{1}{2}$ ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get $\frac{4}{4!}=\frac{4}{24}=\frac{1}{6}$ ;4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1

3 0

3 years ago