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kherson [118]
3 years ago
10

Find the area of the equilateral triangle below (remember, this is a regular polygon).

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Equilateral triangles have interior angles of measure 60º. AL bisects angle MAY, so triangle ALY has angles 30º, 60º, and 90º. This means AY and LY occur in a ratio of √3 to 1. AY is half of AN, so AY = 9 and LY = 9/√3 = 3√3.

We can split up triangle MAN into 6 triangles with the same area as ALY, whose area is

1/2 * AY * LY = 1/2 * 9 * 3√3 = (27√3)/2

so that MAN has area

6 * (27√3)/2 = 81√3, or about 140.296.

Alternatively, we can observe that ML has the same length as AL, which by the Pythagorean theorem has length

AL = √(AY^2 + LY^2) = 6√3

Then MAN has area

1/2 * AN * (ML + LY) = 1/2 * 18 * (6√3 + 3√3) = 81√3

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Answer:

Step-by-step explanation:

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1). Fill 3 gallons jug completely.

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We can add 2 gallons of water in the empty space of 5 gallons jug more.

3). Fill the 3 gallons jug with the water again.

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Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.

5). Empty the 5 gallons jug completely.

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8 0
3 years ago
What is the perimeter of the triangle in the diagram?<br><br><br> a + b + <br> a2 + b2<br> 2(a + b)
inn [45]
Where is the triangle?
7 0
4 years ago
Read 2 more answers
Below you will find Mitch West's monthly statement and his check register. Use them to complete parts a-e in his checking accoun
sukhopar [10]

A bank reconciliation is done to check whether the cash balance maintained in the ledger accounts matches with the balance of the bank statement.

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After reconciliation the ending balance of the given question must be

$ 2549.29.

Checking Account Summary

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b) Add Deposits Outstanding                         $ 300.00

<u>c) </u><u> Total of Checks Outstanding                      </u><u>($ 119.00)</u>

d) Revised Statement Balance                        $ 2549.29

e) Balance from checkbook                              $ 2549.29

The Deposit Outstanding can be found by matching the monthly statement and the check register.

The amount $300 deposit is shown in the check register but not in the monthly cash statement.

Therefore it is added to the ending balance of the statement to arrive at the balance of the check register.

The Checks Outstanding can be found from the Check register.

The checks of the Motor Vehicles and the Pasta Pete's are shown in the first column and subtracted in the last column, which means these are still outstanding.

The total of these checks outstanding is  ($86.5+ 32.5=) $119.00

brainly.com/question/15525383

5 0
3 years ago
Read 2 more answers
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8 0
4 years ago
PLEASE ASSIST!! EXTRA POINTS PLUS BRAINLIEST ANSWER I’LL TRADE YOU MY MOM SHE MAKES RLLY GOOD COOKIES! Find the slope of the giv
FinnZ [79.3K]

Keep your mom, you only have one. But anyway;

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585 = C^2

square root of 585 = approximately 24.2

8 0
3 years ago
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