The length of the base of the isosceles triangle is: 27 units long.
<h3>What is an isosceles Triangle?</h3>
A triangle with two equal legs and a base is called an isosceles triangle.
Thus:
Let x represent the length of each of the equal legs of the isosceles triangle.
Therefore:
The length of the base = 1 1/2(x) = 1.5x units
Perimeter = 63
Therefore:
x + x + 1.5x = 63
3.5x = 63
x = 63/3.5
x = 18
The length of the base = 1.5x units
Plug in the value of x
The length of the base = 1.5(18) = 27 units
Therefore, the length of the base of the isosceles triangle is: 27 units long.
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The amount of grams of hydrogen that are in the water sample is;
3.985 g
<h3>Avogadro's number</h3>
We are given that;
Number of moles of oxygen in a sample of water = 12 × 10²³
- Now, the chemical formula of a molecule of water is H₂O. This means that for every 1 atom or molecule of oxygen, there must be 2 hydrogen atoms or molecules present.
Since Number of moles of oxygen in the sample is 12 × 10²³, then number of moles of hydrogen will be twice that = 2 × 12 × 10²³ = 24 × 10²³ moles
Now, molar mass of hydrogen is 1 g/mol and we know that;
Molar mass = Avogadro's number(6.023 × 10²³) moles
Thus;
6.023 × 10²³ moles = 1 g/mol
Thus; 24 × 10²³ moles of hydrogen = ( 24 × 10²³ × 1)/(6.023 × 10²³)
⇒ 3.985 g
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Explanation:
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There are different reasons for ranking. The Rank order of the vendors that best meet Amazon’s goals are;
Vendor E - 1st
Vendor R - 2nd
Vendor K - 3rd
Vendor F - 4th
<h3>Why Vendor E ranking first?</h3>
Vendor E is first because it has low cost issues, low quantity, high shipped on time and low cost to amazon. This is said to fit about 100% of parameters.
Vendor K is known to have low cost issues, moderate quantity shipped, high quantity shipped and high cost to amazon.
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