Answer:
9 units
Step-by-step explanation:
Given



Required
Determine the length of the longest segment
To do this, we use:

So, we have:



Take positive square root

<em>Hence, the length of the longest segment is 9 units</em>
She swims 12 laps on Monday.
Step-by-step explanation:
Total laps = 51 laps
Laps on Saturday = 15 laps
Let,
x be the number of laps on Monday, Wednesday and Friday each.
According to given statement;
Monday+Wednesday+Friday+Saturday = 51

Dividing both sides by 3

She swims 12 laps on Monday.
Keywords: addition, division
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(10/3)^2 = 10^2/3^2 = 100/9= 11.1
<u>Answer-</u>
<em>The value of x can be anything </em><em>between 0 to 15</em>
<u>Solution-</u>
Perimeter of a geometrical figure is the sum of lengths of all its sides.
So, the value of the perimeter of the given pentagon would be,

As given in the question that, the perimeter is less than or equal to 51 meters.
So,


As the side length can not be negative, so x must be positive, i.e

Answer:
Explanation:
The car travel 10ft north then 15ft due west. In order to find the distance from starting point. We need to find the hypotenuse where the distance to north and west are the adjacent side.
We can use Pythagorean’s theorem according to that:
Let c be the distance from starting point.
And a and b be the distance travel to north and west.
a^2 + b^2 = c^2
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
Sqrt(325) = c
5sqrt(13) = c
Therefore, the distance from starting point is 5sqrt(13) ft