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Cloud [144]
3 years ago
10

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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100 POINTS HELP ASAP NOW!!!!!!<br> Find the value of x in each case.
Zepler [3.9K]

9514 1404 393

Answer:

  x = 22.5°

Step-by-step explanation:

The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:

  2x +(180 -4x) = 6x

  180 = 8x . . . . . . . add 2x and simplify

  22.5 = x . . . . . . . divide by 8

The value of x is 22.5°.

5 0
3 years ago
First you to find the worksheet and download it<br> plase I need help
Goshia [24]

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = 3^{x + 2}

The asymptote is given as x → -∞, f(x) = 3^{x + 2} → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = 3^{0 + 2} = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = 5^{1  - x}

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = 5^{1  - 0} = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = 2^{x + 3} - 1

The asymptote is 2^{x + 3}  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  2^{0 + 3} - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, 2^{x + 3} - 1 = 0

2^{x + 3} = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2

The asymptote is \left (\dfrac{1}{2} \right)^{x - 2} → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6

The y-intercept is (0, 6)

7 0
2 years ago
How do you write 94,300 in scientific notation
Andrew [12]

Answer:

9.44 x 10^4 in scientific notation

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
35. What percentage is 12 minutes of 4 hours?
Elodia [21]

Answer:

5\%

Step-by-step explanation:

4h = 4  \times 60 \: minutes \\  = 240 \: min \\  \\  \frac{12}{240}  \times 100\% \\  = 5\%

hope this helps you.

Can I have the brainliest please?

have a nice day!

6 0
3 years ago
Read 2 more answers
How to do this question
RoseWind [281]
Idek hun I don’t see anything
3 0
3 years ago
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