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Illusion [34]
3 years ago
15

The area of the green square is 9 ft? The area of the red square is 16 ft?

Mathematics
1 answer:
Drupady [299]3 years ago
5 0
The green square is 18 and the red is 32
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The value of x is either +7 or -8
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3 years ago
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.

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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.

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In the first problem, this becomes ...

  a = sin(112°)·14/sin(28°) ≈ 27.65

  c = sin(40°)·14/sin(28°) ≈ 19.17

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The remaining problems are worked in similar fashion.

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<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
What is the APY for 6.5% compounded daily
Jet001 [13]
APY = (1 + r/n)^n - 1

r = interest rate
n= number of times compounded

APY = (1 +0.065/365)^365 - 1

= 6.715%
4 0
3 years ago
If I am putting carpet in my basement, how many square feet of carpeting do I need if the room is 20ft.x10ft.?
kogti [31]

It would be: 20* 10 = 200 ft²

so, the carpet should have the area of about 200 ft²

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3 years ago
5) In a urea manufacturing plan, all employees work a basic week of 40 hours. Ay overtime worked during weekdays is paid for at
Mkey [24]

Answer: $‭1,135.15‬

Step-by-step explanation:

First calculate his basic pay;

= 40 * 14.60

= $584

Total for overtime worked during the week;

= 15 * 14.60 * 1.25

= $‭273.75‬

Total for overtime worked on Saturday;

= 6 * 14.60 * 1.5

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Total for overtime worked on Sunday;

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Sum all the figures;

= 584 + 273.75 + 131.40 + 146

= $‭1,135.15‬

3 0
2 years ago
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