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3 years ago

Could someone please explain how to solve for the area?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

8 0

9514 1404 393

Answer:

6.9 m²

Step-by-step explanation:

All of the sides are the same length. The altitude meets the base at its midpoint, so the altitude (h) of the triangle can be found using the Pythagorean theorem.

h² + 2² = 4²

h² = 12

h = 2√3

Then the area is ...

A = 1/2bh

A = (1/2)(4 m)(2√3 m) = 4√3 m² ≈ 6.9 m²

___

If you work through the above area formula in generic terms, you find the area of an equilateral triangle to be ...

A = (s²/4)√3 . . . . . where s is the side length

Another approach is to treat the figure as a 3-gon and use the n-gon area formula that uses the perimeter. That formula is derived here brainly.com/question/22386162

It is ...

A = P²/(4n·tan(180°/n))

For a triangle with side length s, this is ...

A = (3s)²/(4·3·tan(60°) = (s²/4)√3 . . . . same as above

Ipatiy [6.2K]3 years ago

6 0

Answer:

area of equilateral TRAINGLE =√3/4 A²=√3/4×4²=6.9mi² is your answer

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There are 24 gallons of water that need to be split up into 3 buckets. How many gallons must each bucket hold? Y=number of gallons that each bucket holds.

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3 years ago

The cost of 2 plates of spaghetti & 1 plate of salad is $27.50. The cost for 4 plates of spaghetti & 3 salads is $59.50.

k0ka [10]

2a+1b=27.50

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3 years ago

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Shtirlitz [24]

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2 years ago

12. Ronnie Cox just inherited $27,000. How much of this money should he set aside today to have $17,000 to pay cash for a Ventur

AlekseyPX

Answer:

Amount to be kept separately for having $17,000 at year end = $16,715.83

Step-by-step explanation:

As it is provided, that annual return = 1.7% compounded annually.

We need to calculate the amount to be invested today, to get a total of $17,000 at year end.

Since the interest is compounded annually, it is a simple interest if the term is of 1 year.

Therefore,

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3 years ago

In a music stadium, there are 18 seats in the first row and 21 seats in the second row. The number of seats in a row continues t

sineoko [7]

Answer:

(a) an = 18 +3(n -1)

(b) row 35

Step-by-step explanation:

(a) The general term (an) of an arithmetic sequence can be expressed in terms of the first term (a1) and the common difference (d) as ...

an = a1 +d(n -1)

The given sequence has a1 = 18 and d = 3, so the explicit formula is ...

an = 18 + 3(n -1)

(b) We want to find n such that an = 120.

120 = 18 + 3(n -1)

40 = 6 + n - 1 . . . . . . . divide by 3

35 = n . . . . . . . . . . . . . subtract 5

Row 35 has 120 seats.

3 0

3 years ago