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sammy [17]
2 years ago
5

A group of 3 explorers travelled through the new Guinea rain forests with 3 Marind-Anim guides. Their inflatable dinghy could on

ly take 2 people at a time and only one of the explorers and one guide could successfully operate it. Once the explorers realised that the Marind-Anim were renowned head hunters they were not willing to ever be outnumbered by them. In spite of these difficulties they worked out a way to negotiate each river. What is the smallest number of crossings needed to get the party safely across a river?
Mathematics
1 answer:
Lesechka [4]2 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

Let's assume A,B,C the 3 explorers and X,Y,Z the 3 guides.

Only A and X can operate the boat.

\begin{array}{|c|c|c|}border\ 1 &boat&border\ 2\\ABCXYZ&-&-\\BCYZ&AX&-\\BCYZ&A&X\\BCY&AZ&X\\BCY&A&XZ\\CY&AB&XZ\\CY&X&ABZ\\Y&CX&ABZ\\Y&X&ABCZ\\-&XY&ABCZ\\-&-&ABCXYZ\\\end{array}

I hope you will understand the travels

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Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.
Leokris [45]

Answer:
NK = 14.4

Step-by-step explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

<u>The scale factor is 2.4 since....</u>

3\times2.4=7.2


Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6
6\times2.4=14.4
=14.4

NK = 14.4

Hope this helps.

6 0
2 years ago
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2 years ago
A= x^2 -30x+225 The polynomial represents the area (in square feet) of the square playground. a. Write a polynomial that represe
Setler [38]

Answer:

a) The polynomial is equivalent to A = (x-15)^{2}, and the side length of the playground is x -15 feet.

b) The perimeter of the playground, measured in feet, is p = 4\cdot (x-15).

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If A = x^{2}-30\cdot x +225 is the area of the square, then must be a perfect square trinomial, that is:

(x-a)^{2} = x^{2}-2\cdot a\cdot x + a^{2} (1)

Then, we must observe the following properties:

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a = 15

a^{2} = 225 (3)

a = 15

Therefore, the polynomial is equivalent to A = (x-15)^{2}, and the side length of the playground is x -15 feet.

b) The perimeter of a square equals four times the side length. That is:

p = 4\cdot (x-15)

The perimeter of the playground, measured in feet, is p = 4\cdot (x-15).

7 0
2 years ago
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