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Rus_ich [418]
3 years ago
12

The base of a regular hexagonal pyramid has an apothem length of 3√ in. What is the exact area of the base of the pyramid?

Mathematics
1 answer:
12345 [234]3 years ago
3 0
1. To solve this problem you must apply the formula for calculate the area of a regular hexagon given the apothem, which is shown below:

 A=(Perimeter x Apothem)/2

 2. You have the apothem, so you can calculate the perimeter. First, you have to know the lenghts of the sides:

 Tan(30°)=x/√3
 x=1

 Side=2x
 Side=2

 Perimeter=2x6
 Perimeter=12

 3. Then, you have that the area of the base is:

 A=(Perimeter x Apothem)/2
 A=12x√3/2
 A=6√3
 A=10.39
 B=10.39 cm²

 The answer is: B=10.39 cm²
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3 years ago
Question 1
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C

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8 0
3 years ago
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WINSTONCH [101]
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6 0
3 years ago
What is sin A=0.3784 rounded to the nearest whole degree
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Answer:

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Step-by-step explanation:

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