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Hitman42 [59]
3 years ago
12

In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest 10th of an inch.

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

  g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

  f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

  g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

  g ≈ 34.7 in

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Answer:

x = 1, y = -2, z = 3.

Step-by-step explanation:

x + 2y + 2z = 3      A

2x -2y - z = 3         B

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If we add equations A and B we eliminate y:

3x + z = 6       E

Multiply E by 2 :

6x + 2z = 12    F

Adding C and F we get:

7x = 7

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Plug this into equaton C:

1 - 2z = -5

-2z =  -5 - 1 = -6

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Now plugging x = 1 and z = 3 in equation A:

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2y = 3 - 1 - 6 = -4

y = -2.

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3 years ago
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h + 2h + h + 100 = 4h +100

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