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marta [7]
3 years ago
7

what is the approximate area of a regular pentagon with a side lenghtt of 6 feet and a distance from the center to a vertex of 6

feet
Chemistry
1 answer:
Degger [83]3 years ago
6 0
A regular pentagon may be divided into 5 congruent triangles.


If the side of the pentagon is 6 feet, each base of the triangles will be 6 feet.


If the distance from the center to a vertex is 6 feet, all the sides of the triangles will 6 feet.


So there are 5 congruent, equilateral triangles each with side equal to 6 feet.


The area one of those triangles is calculateb by:


base * height / 2


height ^2 = (side length) ^2 - (side length /2)^2 = 6^2 - 3^2 = 36 - 9 = 27


=> height = √(27) ≈ 5.2 feet


And, using area = base * height / 2 ,


area of a triangle = 6 feet * 5.2 feet / 2 = 15.6 feet^2


And the area of the entire pentagon equals 5 triangles ≈ 5 * 15.6 feet^2 = 78 feet^2


Answer: 78 feet^2
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Answer:

The correct answer is <em>C)  Two atoms of silver are needed to complete the reaction.</em>

Explanation:

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Then, taking into account the Law of Conservation of Matter, as an atom cannot be created or destroyed in a chemical reaction, the number of atoms that are present in the reagents has to be equal to the number of atoms present in the products.

For this, the chemical equation must be balanced. For that, you must first look at the subscripts next to each atom to find the number of atoms in each compound in the equation. If the same atom appears in more than one molecule, you must add its quantities. On the other hand, the coefficients located in front of each molecule indicate the amount of each molecule for the reaction. This coefficient can be modified to balance the equation, just as you should never alter the subscripts. By multiplying the coefficient mentioned by the subscript, you get the amount of each element present in the reaction.

In this case:

Left side: 2 silver  (Ag), 2 hydrogen (H) and 1 sulfur (S)

Right side: 2 silver  (Ag), 2 hydrogen (H) and 1 sulfur (S)

In this case the equation is balanced because you have the same amount of all the elements on each side of the reaction. And <u><em>the 2 in front of 2Ag indicates that,since silver is a reagent, two atoms of silver are needed to complete the reaction. (option C).</em></u>

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3 years ago
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A/1 * B/C =D, You find yourself with 17 guilders (a gold coin) but you are planning on taking a trip to a country where the loca
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Exchange rate is 2 guilders for every 3 florins

The conversion factor will be

2 guilders / 3 florins = 3 florins / 2 guilders = 1

so if we wish to convert 17 guilders to florins we will use following conversion factor

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The following data were obtained from the question:

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Next, we shall determine the mass of the salt in grams (g). This can be obtained as follow:

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