The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
<h3>
How to calculate the area of a regular hexagon</h3>
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
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Answer: The finial answer is 15.8
This problem is just one about triangles! All of the faces of the cube are perpendicular to their adjacent faces, so the diagonal of one of the face will be a right angle with the edge of the cube. Thus, you can create a right triangle. Finally, use the Pythagorean Theorem to solve for x, the length of the side of the cube.
Step-by-step explanation:
The slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
<h3>How to illustrate the information?</h3>
From the information given, we are told to use the slope formula along with the coordinates of points A, B, C, and D to find the slope.
The slope of AB based on the information will be:
= (-1 -3)/(-1 --3)
= -4/2
= 2
The slope of DC will be:
= 2-6/(1 --1)
= -4/2
= -2
Therefore, the slope of AB and the slope of DC based on the information about the coordinate will be -2 and -2 respectively.
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5 x 7 because if 5 is the width is 25 then 18 minus that is 7 and 7x5 = 35
(trying to isolate/get x by itself in the equation)
5(x + 6) = 50 Distributive property [distribute 5 into (x + 6)]
5x + 30 = 50 Subtraction [subtract 30 on both sides of the equation]
5x = 20 Division [divide 5 on both sides]
x = 4
Subtraction then division, the 2nd option
