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icang [17]
2 years ago
14

Solve the triangle.

Mathematics
1 answer:
vekshin12 years ago
8 0

9514 1404 393

Answer:

  • b = 757.7 m
  • A = 17.2°
  • C = 14.3°

Step-by-step explanation:

From the law of cosines, you can find the length of side b to be ...

  b = √(a² +c² -2ac·cos(B))

  b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36

  b ≈ 757.7

__

From the law of sines, you can find the measure of angle C to be ...

  C = arcsin(c/b·sin(B))

  C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)

  C ≈ 14.3°

  A = 180° -148.5° -14.3°

  A = 17.2°

_____

Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.

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svetlana [45]

Answer:

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Step-by-step explanation:

−(7p+6)−2(−1−2p) = -7p - 6 + 2 + 4p

                            = (-7p + 4p) + (2 - 6)

                            = -(7p - 4p) - (6 - 2)

                           = - 3p - 4

7 0
2 years ago
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Lady_Fox [76]
The answer to the question is B
6 0
2 years ago
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lesya692 [45]

3(14 - 5x) = 16 - 12x

Distribute 3 throught the parentheses

42 - 15x = 16-12x

Move the variable to the left-hand side and change its sign

42 - 15x + 12x = 16

Move the constant to the right-hand side and change its sign

- 15x+12x=16 - 42

Collect like terms

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Divide both sides of the equation by -3

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6 0
2 years ago
Read 2 more answers
Anyone know the answer to this?
kiruha [24]

Answer:

42

Step-by-step explanation:

Angle ABD = Angle CBD + Angle ABC

You know ABD is 70, CBD and ABC are in terms of x

70 = 5x + 13 + 3x + 33

70 - 13 - 33 = 8x

24 = 8x

3 = x

Replacing x in Angle ABC:

3 * 3 + 33 = 42

6 0
3 years ago
What is the solution to <br> 5x+9-3x=18+15<br><br> A.x=8<br> B.x=12<br> C.x=21<br> D.x=3
Vlad [161]
Your answer will be B) x=12

1)5x-3x
2) move 9 to the other side (change signs)
3)18+15-9
4) 2x= 24 (divide 2 from both sides
5)x=12

hope this helps
7 0
3 years ago
Read 2 more answers
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