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 2 years ago
Find the area of a regular pentagon with a side length of 10m. Round to nearest tenth. PLEASE HELP!
 2 years ago
Find the area of a regular pentagon with a side length of 10m. Round to nearest tenth. PLEASE HELP!

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elleboedefeld
 2 years ago
Best ResponseYou've already chosen the best response.0The study guide is due tomorrow and I have a lot of questions on it! :(

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1So, the area of a regular pentagon, given side length is \(\ \huge \frac{5s^2}{4tan(\frac{180}{5})} \). The side length is s, so replace s with 10. The 5 can be replaced with the number of sides of the shape. A pentagon has 5 sides, so I inserted a 5. Now, its a matter of solving the equation... Do you need help with that?

elleboedefeld
 2 years ago
Best ResponseYou've already chosen the best response.0Let me try solving it first.

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1Okay. I'll solve it, and post your answer when you get it to verify

alexwee123
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1334722501665:dw divide pentagon into 5 equalaterial triangles this way is easier for me

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1@elleboedefeld Did you get an answer?

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, so @elleboedefeld, I got \(\ \huge \approx 172.1m^2 \).

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1@elleboedefeld No you're not, it takes time to learn new things. Here's what I did:

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1\(\ \huge \frac{5 \bullet 10^2}{4tan(\frac{180}{5})} \) = \(\ \huge \frac{500}{4tan(\frac{180}{5})} \) = Type this into a calculator. I think this is where you might have made a mistake. Type this into your calculator like this: 500/4tan((180/5)). If you don't the calculator will misinterpret what you typed in. Then, after rounding to the nearest tenth, I got \(\ \huge \approx 172.1m^2 \). Do you understand?

elleboedefeld
 2 years ago
Best ResponseYou've already chosen the best response.0Yes! Thank you! :)

Study23
 2 years ago
Best ResponseYou've already chosen the best response.1@elleboedefeld No problem! Good Luck! :D
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