000_7th Math 2020-2021 Spring Benchmark COLOR THEME

e Q ZOOM

35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale

in which 1 centimeter represents 20 kilometers. What is the actual distance

between these two cities in kilometers?

The distance between two cities is 70 km.

Step-by-step explanation:

Given that,

The distance between two cities on a map is 3.5 centimeters.

It is also mentioned that the map uses a scale  in which 1 centimeter represents 20 kilometers.

We need to find the actual distance  between these two cities in kilometers.

1 cm = 20 km

3.5 cm = (3.5 × 20) km

= 70 km

Hence, the distance between two cities is 70 km.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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