A map has a scale of 2cm to 5km. How long is a path that measure 0.8 on the map?

Mathematics

2 answers:

balandron [24]4 years ago

5 0

Answer:

2 km

Step-by-step explanation:

To use the scale, we write a ratio of $\frac{map}{real world}$ and simplify.

We know $\frac{map}{real world}=\frac{2cm}{5 kilometers}$ .

We also know the path is $\frac{0.8cm}{x kilometers}$ .

To find the unknown value, we set the ratios equal and solve by ross multiplying.

$\frac{0.8cm}{x kilometers}=\frac{2cm}{5 kilometers}$ .

We cross multiply by multiplying numerator and denominator of opposite fractions.

0.8(5)=x(2)

4=2x

2=x

allochka39001 [22]4 years ago

4 0

Your answer would be 2km.

We can write the scale as a ratio of 2cm:5km. Then we need to find out how much we multiply 2 by to get 0.8cm, by dividing 0.8 by 2. This gives us 0.4.

Then, we can multiply 0.4 by 5 on the other side of the ratio, to get the ratio as 0.8:2, so 2km is your answer.

I hope this helps!

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kodGreya [7K]

Step-by-step explanation:

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3 years ago

PRE CALCULUS

Mumz [18]

Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.