By applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
<h3>What is the Pythagorean Theorem?</h3>If c is the hypotenuse of a right triangle, and the lengths of the two legs are a and b respectively, the Pythagorean Theorem states that, c = √(a² + b²).
The diagram showing the new highway is attached below.
The diagram represents a right triangle. SO, apply the Pythagorean Theorem to find how long it is to travel on the new highway from point A to B.
Thus:
AB is the hypotenuse of the right triangle.
AB = √(AC² + BC²)
Plug in the values
AB = √(12² + 5²)
AB = 13 miles.
Moving from A to B without the highway = AC + BC = 12 + 5 = 17 miles.
Miles saved travelling on the new highway = 17 - 13 = 4 miles.
Therefore, by applying the Pythagorean Theorem, the number of miles saved is: 4 miles.
Learn more about Pythagorean Theorem on:
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,
we have FO=4
so, we can plug it
now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem
now, we can solve for x
Since, it is equilateral triangle
so,
we know that
E is a mid-point
so,
now, we can plug values
................Answer
Answer:
or around 2%
Step-by-step explanation:
So we need to see how many tiles are left.
100 - 6 = 94
So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:
2 / 94 which is
And that is our answer! Hopefully this helps, have a nice day :D