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Sati [7]
2 years ago
6

A map has a scale of 1 cm: 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.

Mathematics
2 answers:
MaRussiya [10]2 years ago
6 0

Answer:

i believe the answer is 40km.

lbvjy [14]2 years ago
4 0

Answer:

We are given that 1 cm on the map represents 5 km on earth's surface.

Then, if the cities are 8 cm apart on the map, they will be 8*5 = 40 km apart on Earth.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

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The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

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∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

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