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german
3 years ago
11

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

Mathematics
2 answers:
never [62]3 years ago
5 0
<span>A. Two angles and a side
</span>In trigonometry, the law of sines<span>, </span>sine law<span>, </span>sine<span> formula, or </span>sine<span> rule is an equation relating the lengths of the sides of any shaped triangle to the </span>sines<span> of its angles.</span>
larisa86 [58]3 years ago
3 0

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC,  the law of sine is given by

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

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Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

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2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

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  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

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As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

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2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

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1 quarts = 1/1.05 liter

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Answer:

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Step-by-step explanation:

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