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Ksivusya [100]
3 years ago
11

Add.

Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

17. +5-2-1=+2

18. -7-6-2=15

19. +11-9-4=-2

20.+4-8+6=+2

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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.

8 0
3 years ago
Read 2 more answers
Can someone please help? the other box options are the same as the first:)
Nina [5.8K]

Answer:

0.5 in the first box and 1 or -1 in the second

4 0
3 years ago
Solve<br> y=-x2-2x-2<br> y=x-4
Free_Kalibri [48]

Step-by-step explanation:

y−x2+2x=−4y-x2+2x=-4 , y+x=2

5 0
3 years ago
What is the solution to the system of equations?
s344n2d4d5 [400]

Answer:

(3,2)

Step-by-step explanation:

Here's your given:

y = 4x - 10

y = 2

Because they both equal y, that means they equal each other:

2 = 4x - 10

Add 10 on both sides:

12 = 4x

Then, divide 4 on both sides:

3 = x

This represents the x coordinate.

Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:

y = 2

This represents the y coordinate.

Put the two values together to get: (3,2)

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3 years ago
Which of the following threats to biodiversity is a result of plants and animals introduced to an ecosystem where they are not n
Dahasolnce [82]

Invasive Species since they were brought into a habitat that they were not originally in.

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