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SOVA2 [1]
2 years ago
12

Is the following situation represented by a positive integer, a negative integer, or zero?

Mathematics
1 answer:
ohaa [14]2 years ago
4 0

Answer:

Positive

Step-by-step explanation:

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Solve the given triangles by finding the missing angle and other side lengths.
coldgirl [10]

Answer:

  1. a ≈ 27.65; B = 28°; c ≈ 19.17
  2. a ≈ 163.30; B = 120°; c ≈ 59.77
  3. A = 13°; b ≈ 0.3874; c ≈ 1.3737

Step-by-step explanation:

As long as you're seeking outside help, the use of a suitable tool is appropriate. Many graphing calculators, apps, and web sites are available for solving triangles.

__

Here, you're given two angles and a side. The third angle is the difference from 180° of the sum of the other two. For example, in the first problem, ...

  B = 180° -A -C = 28°

The missing sides are found using the law of sines. Since you are given a side, use that as the reference, and its opposite angle as the reference angle. Then you have ...

  side = sin(opposite angle)×<em>((reference side)/sin(reference angle))</em>

Note that the factor in italics remains the same for both remaining sides.

__

In the first problem, this becomes ...

  a = sin(112°)·14/sin(28°) ≈ 27.65

  c = sin(40°)·14/sin(28°) ≈ 19.17

__

The remaining problems are worked in similar fashion.

_____

<em>Comment on triangle solutions</em>

These are straightforward because you're given two angles. If you're given two sides and an angle, the solution method varies depending on which angle you're given (opposite the long side, the short side, or the unknown side). In the last case, the law of cosines is involved. In the second case, there are likely two solutions. Once you have two angles, you can proceed as above.

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2 years ago
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shari’s class is making team pennants for an upcoming field day.they cut the pennants out of a large sheet of paper in the patte
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In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,

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If we assume that length and width are equal, in order to maximize the space. 
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The value of L from the equation is 40 cm. 
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Answer:

Step-by-step explanation:

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3 years ago
What is the radius of a circle with an area of 400(pi) cm^2?
ivanzaharov [21]

Answer:  r≈11.28

Step-by-step explanation:

                         

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Both of these lines share the relationship together of being parallel. 
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