The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
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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:
B
Step-by-step explanation:
True, because a parallelogram is a four-sided rectangular figure with opposite sides parallel. This is a way to describe a rectangle as well. The only difference is that rectangles must have 90 degree angles, but it is possible for a parallelogram to have 90 degree angles as well. This also means that all rectangles are technically parallelograms as well.
Answer:
The domain is all real numbers. The range is {y|y ≤ 16}.
Step-by-step explanation:
The vertex of a parabola is given by
.
As a = -1, b = -2, c= 15 here, then the vertex is at (1,16).
As a is negative, it opens downward, so the range is {y|y ≤ 16}.
Meanwhile, all parabolic functions have a domain of 
.
Answer:
87 = 1 x 87 or 3 x 29. Factors of 87: 1, 3, 29, 87. Prime factorization: 87 = 3 x 29
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