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kotegsom [21]
3 years ago
10

List the variables for 3/2x

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
X would be the only variable for the equation listed.
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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
2 years ago
Read 2 more answers
Benny recorded the eye color and hair-color people walking the shopping mall based on the results of his survey what is experime
____ [38]
Do you have an image of the survey
5 0
3 years ago
Read 2 more answers
Find the volume of the solid. Round your answer to the nearest tenth
insens350 [35]

Answer:

Solution given:

Volume of cone=⅓πr²h

Volume of cylinder=πr²h

1.

volume =πr²h=π*(10/2)²*6=<u>471.23mm³</u>

2.

Volume =πr²h=π*8*12.5=<u>314.16in³</u>

3.

volume =⅓πr²h=⅓*π*4²*3=<u>5</u><u>0</u><u>.</u><u>2</u><u>6</u><u>c</u><u>m</u><u>³</u>

4.

Volume =⅓πr²h=⅓*π*(8/2)²*12=<u>2</u><u>0</u><u>1</u><u>.</u><u>0</u><u>6</u><u>i</u><u>n</u><u>³</u>

5 0
3 years ago
Solve 6 &lt; x + 5 &lt; 11 ​
Vanyuwa [196]

Answer:

I think it should be 1  < x ≤ 6

Step-by-step explanation:

7 0
3 years ago
Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T
Alex777 [14]

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = \sqrt{168} ≈ 12.96 ( to the nearest hundredth )

7 0
3 years ago
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