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ivann1987 [24]
4 years ago
14

Diana usually drives at average rate of 30 mph.

Mathematics
1 answer:
spin [16.1K]4 years ago
5 0

Answer:

24 minutes

Step-by-step explanation:

12/30=.4

.4 x 60=24

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Answer:

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Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

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

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

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One can shorten the equation so it only holds the parts that will play a role in solving this equation,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

Now take the cross product in this equation to simplify it further,

\frac{sin(x)}{10}=\frac{sin(116)}{17}

17(sin(x))=10(sin(116))

Inverse operations, solve this equation for (x),

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sin(x)=\frac{10(sin(116))}{17}

x=sin^-^1(\frac{10(sin(116))}{17})

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