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lutik1710 [3]
3 years ago
4

What is the answer to 6.4n-10=4.4n+6

Mathematics
2 answers:
bezimeni [28]3 years ago
4 0

6.4n - 10 = 4.4n + 6

Add 10 to both sides

6.4n = 4.4n + 16

Subtract 4.4n from both sides

2n = 16

Divide both sides by 2

n = 8

ycow [4]3 years ago
3 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:

x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X} (1)

Where:

y, z - Side lengths, in centimeters.

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If we know that y = 690\,cm, w = 440\,cm and X = 163^{\circ}, then the length of the side x is:

x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X}

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By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:

\frac{x}{\sin X}= \frac{w}{\sin W} (2)

\sin W = \left(\frac{w}{x} \right)\cdot \sin X

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If we know that X = 163^{\circ}, w = 440\,cm and x\approx 1118.199\,cm, then the angle W is:

W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]

W \approx 6.606^{\circ}

Hence, the angle W is approximately 7°.

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