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UNO [17]
3 years ago
10

A sheet custom size copy paper measures 8.5 in. by 10 in. if a ream (500 sheets) of this paper has a volume of 170 in to the thi

rd power, how thick is the ream​
Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

170 = 10(8.5)h

170 = 85h /:85

2 = H

The ream is 2 inches thick.

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6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP
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The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

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<P = 048°

<Q = 360^{o} - 324^{o}

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Sum of angles in a triangle = 180^{o}

<P + <Q + <S = 180^{o}

048° + 036^{o} + <S = 180^{o}

84^{o} + <S = 180^{o}

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<S = 96^{o}

Applying the Sine rule,

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\frac{y}{Sin P} = \frac{z}{Sin S}

\frac{y}{Sin 48^{o} } = \frac{17}{Sin 96^{o} }

\frac{y}{0.74314} = \frac{17}{0.99452}

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\frac{x}{Sin 36^{o} } = \frac{17}{Sin 96^{o} }

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the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

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