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3 years ago

Your company is hosting a benefit 5 kilometer race.

Mathematics

2 answers:

Lilit [14]3 years ago

7 0

5 Kilometers is 3.10686 Miles
3.1 Miles to the nearest tenth of a mile.

Mars2501 [29]3 years ago

5 0

In this question the main part is to convert the kilometer to miles and then writing the answer to the nearest tenth of a mile. the information given in the question is that the race is for a distance of 5 kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So the actual distance when converted to miles will be 3.11 miles. I hope this is the answer you were looking for. This is the simplest way for doing such problems and in future you can follow this method to find the answers without the need of any help.

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

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