The greatest common factor is 50
The pythagorean theorem is used to calculate the lengths of a right triangle
The hypotenuse of the triangle is 6.5 cm
<h3>How to determine the hypotenuse of the triangle?</h3>
From the complete question, we have the following side lengths
- Opposite = 5.7 cm
- Adjacent = 3.2 cm
The hypotenuse of the triangle is then calculated as:
Hypotenuse^2 = Opposite^2 + Adjacent^2
This gives
Hypotenuse^2 = 3.2^2 + 5.7^2
Evaluate the sum
Hypotenuse^2 = 42.73
Take the square root of both sides
Hypotenuse = 6.5
Hence, the hypotenuse of the triangle is 6.5 cm
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Acetic acid and ether are pure substance because they can not be further broken down.
<h3>What is a homogeneous mixture?</h3>
A homogenous mixture consists only of single phase. A solution is comprised of a solute and a solvent while a colloid is a false solution.
The following is a classification of each of the items;
1- Acetic acid - pure substance
2- Ether - pure substance
3- Vinegar - homogeneous mixture
4- Gravy - colloid
5- Beef stew - colloid
6- Seltzer water - solution
7- Salad - colloid
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Mising parts;
Classify each of the following as a pure substance, homogeneous mixture, solution, or colloid.
1- Acetic acid
2- Ether
3- Vinegar
4- Gravy
5- Beef stew
6- Seltzer water
7- Salad
The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West
From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :
Using Pythagoras :
Displacement, d = √(50² + 20²)
d = √(2500 + 400)
d = √2900
d = 53.851
Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.
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