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yaroslaw [1]
3 years ago
10

The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun

d to the nearest hundreth.
Mathematics
1 answer:
polet [3.4K]3 years ago
3 0

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

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we can write this as:

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Use the  identity formula:

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then, by using this formula in [1] we have;

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Therefore, the possible length and width of the building is;

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Help!! <br><br> I think I got these wrong, so please help!! Thank you!
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(x+3)(x+4)(x-4)

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Step-by-step explanation:

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According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

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To learn more on translations: brainly.com/question/17485121

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