A bottle of energy drink contains 9/10 liter. Coach Donavan buys 15 bottles. How many liters of energy drink did he buy?

1 answer:

7 0

To find out how many liters of energy drink Coach Donavan bought you need to multiply how much liters are in one bottle by how many bottles he bought.

9/10 x 15

9/10 x 15 is 13.5 or 13 and 1/2

So Coach Donavan bought 13 and a half liters of energy drink.

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The area of a circle is 28.26 square centimeters. What is its diameter (use 3.14 for ð)?

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then we root both sides to get r on it's own
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Which statement is NOT a step used when constructing an inscribed hexagon?

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Swing two arcs above and below the radius.

Step-by-step explanation:

We want to determine which statement is NOT a step used when constructing an inscribed hexagon?

1. Swing two arcs above and below the radius. False

2. Draw a radius of the circle using a straightedge. True

3. Place the compass on the point where the circle and radius intersect. True

4. Swing an arc the length of the radius from the point on the circle. True

The first choice is the correct answer.

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Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )