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2 years ago

If John takes 2 hours to travel 20km,how many kilometers does he travel in 6 hours?

Mathematics

2 answers:

Scilla [17]2 years ago

4 0

Answer:

60km

Step-by-step explanation:

There are two ways to look at this

1. Finding the unit rate

We can find how many km he travels in 1 hour by diving both the hours and km by 2. 1 hour = 10km so 6 hours is 60km since we multiply by 6.

2. Multiply by 3

We can multiply both the km and hours by 3, since 2x3=6 hours

20km * 3 hours = 60km

Morgarella [4.7K]2 years ago

4 0

Hours. Km
2hrs 20km
6hrs. ?km

6x20 = 2?
120 =2?
120/2=?

= 60km

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3 years ago

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

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Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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