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gulaghasi [49]
3 years ago
12

The triangle described is of the form SSA. Determine if there is no triangle possible, one triangle possible, or two triangles p

ossible. If only one triangle is possible, solve the triangle. If either two triangles may be formed or no triangle may be formed, say so. The triangle is defined by: b=20, c=21, y=20
No triangle can be formed from this information.





Two triangles may be formed.

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer: The way to work this problem is to sketch the SSA-described triangle.

Horizontally, mark a ray stemming from point C, going to the right.

From point C, at an angle of elevation of 20 degrees, draw a segment a = 6.3, ending at point B.

Now, from point B, draw a segment perpendicular to the horizontal ray and label it h, for altitude.

Calculate h = 6.3 sin 20o = 2.1547.

Now imagine that, dangling from point B, you have a segment of length c = 9.3; in fact, put a compass with steel point at B and radius 9.3, and draw a big arc.  you'll see that it can intersect the horizontal ray only once; in its swing toward point C, due to c > a, there will be no second intersection of the ray (the arc 'overshoots' the ray).

Thus you see that only one solution exists, and the Law of Sines can be used to solve the triangle:

sin 20 / 9.3 = sin A / 6.3 and this leads to A = 13.4 degrees...and B = 180 - 20 - 13.4 = 146o.

I'll let you solve for b (side AC).

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Answer:

c) 68%

Step-by-step explanation:

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3 years ago
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Stacy and Neil painted 280 ft of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gal
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Step-by-step explanation:

4/5 gallons for 280 ft² (the ² is missing in the question ...).

3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

280 × 15/4 = 70 × 15 = 1050 ft²

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On a blueprint, the bedroom wall is 6 in long. the scale factor is 1 to 24. what is the length of the actual wall?
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A

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The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan
kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points (x_1, y_1) and (x_2,y_2) is,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Length of PQ = \sqrt{(1-1)^2+(2-6)^2}

PQ = 4

Length of PR = \sqrt{(1+4)^2+(2-2)^2}

PR = 5

Length of QR = \sqrt{(1+4)^2+(6-2)^2}

QR = \sqrt{25+16}

     = \sqrt{41}

     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

                                                                       = 4 + 6.4 + 5

                                                                       = 15.4 yards

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3 years ago
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