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2 years ago

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Matt is making a scale model of a building the model is 3.4 feet tall the actual building is 41.848 ft tall.How many times as gr

eat is the actual building as the model

1 answer:

ikadub [295]2 years ago

3 0

41.848/3.4=12.308

The actual building is 12.306 times larger than the model.

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Complete the following ratio table so that each pair represents the same rate.

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2 years ago

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A rental car company charges a base fee of $36.94 plus $0.60 per mile driven. If x represents the number of miles driven, which

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3 years ago

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3 years ago

Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet

Irina18 [472]

The distance from Ship B to the signal fire at point C is $405.4 \mathrm{ft}$

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

$\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}$

Now, we shall solve the problem using the law of sines,

$\frac{\sin A}{a}=\frac{\sin C}{c}$

Substituting the values, we have,

$\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}$

$\frac{0.9903}{a}=\frac{0.3420}{140}$

Simplifying, we get,

$a=\frac{0.9903 \times 140}{0.3420}$

$a=405.4$

Thus, the distance from Ship B to the signal fire at point C is $405.4 \mathrm{ft}$

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3 years ago

Ilia_Sergeevich [38]

Answer:

uhm i dont know..what math is this??

Step-by-step explanation:

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2 years ago