PLEASE HELP WITH THIS QUESTION! WILL MARK BRAINLIEST

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

7 0

Answer:

we know that[scale factor ]=[real]/[drawing][real]=[drawing]*[scale factor ]step 1find the real valuesif the base of Riley's drawing is 10 centimeters [real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cmthe base of the triangular clock face is 30 cmthe height of Riley's drawing is 15 centimeters [real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cmthe height of the triangular clock face is 30 cmthe area of the triangular clock face is-----> 45*30/2-------> 675 cm²the answer is the option C. 675 square centimeters

Step-by-step explanation:

sweet [91]3 years ago

4 0

We know that
[scale factor ]=[real]/[drawing]
[real]=[drawing]*[scale factor ]

step 1
find the real values

if the base of Riley's drawing is 10 centimeters
[real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cm
the base of the triangular clock face is 30 cm

the height of Riley's drawing is 15 centimeters
[real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cm
the height of the triangular clock face is 30 cm

the area of the triangular clock face is-----> 45*30/2-------> 675 cm²

the answer is the option C. 675 square centimeters

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If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of

gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

$Scale=\frac{distance on the map}{distance in reality}$

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

$\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}$