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3 years ago

A plane headed due south is traveling with an airspeed of 160 miles per

Mathematics

1 answer:

lord [1]3 years ago

5 0

Answer:

60 °

Step-by-step explanation:

Applying the law of sine we have the following:

160 / Sin B = 80 / Sin 30 °

We solve for B and we have:

160 / Sin B = 80 / 0.5

160 / Sin B = 160

Without B = 160/160

B = Arc Sin (1)

B = 90 °

Now to calculate the other angle (true

course) would be:

A = 180 ° - (B + C)

A = 180 ° - (90 ° + 30 °)

A = 60 °

That is to say that true course is 60 °

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What is the expression in factored form? 6x^2+4x

storchak [24]

6x^{2}+4x

Factor: 2x out of 6x^{2}

2x (3x) + 4x

Factor: 2x out of 4x

2x (3x) + 2x (2)

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3 years ago

A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers

Schach [20]

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

$182000x=240*42000\\$

$182000x=10080000$

$\frac{182000x}{182000} =\frac{1008000}{182000}$

$x =55.38min$

Hope this helps you.

Let me know if you have any other questions :-)

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2 years ago