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mariarad [96]
3 years ago
6

Enter the cost in the box tickets

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

box box box box box vox

Step-by-step explanation:

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To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2°
sweet-ann [11.9K]

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

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

BC (or <em>a</em>) is opposite to ∠A and AB (or <em>c</em>) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

m\angle A + m\angle B + m\angle C = 180^\circ

Substitute:

\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ

Solve for ∠A:

m\angle A = 49.5^\circ

Substitute BC for <em>a</em>, AB for <em>c</em>, 49.5° for <em>A</em> and 18.3° for <em>C</em> into the Law of Sines. Thus:

\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}

Since BC = 415 m:

\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}

Solve for AB. Cross-multiply:

\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ

And divide:

\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}

Use a calculator. Hence:

AB = 171.3648...\approx 171.36\text{ m}

AB or the distance across the river is about 171.36 meters.

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Mr. Stevens is 63 years older than his grandson, Tom. In 3 years Mr. Stevens will be four times as old as Tom. How old is Tom?
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Step-by-step explanation:

Please see attached picture for full solution.

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Step-by-step explanation:

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