Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

if a scale map is 1 cm: 15 Km. find the actual distance corresponding to the scale map. 13) 2.5 cm 14) 0.2 cm 15) 15 cm 16) 4.6 cm

Sagot :

browntown5
All you gotta do is multiply the cm by 15,
For 13) you'd do [tex]2.5*15[/tex]
14) [tex]0.2*15[/tex] 
15) [tex]15*15[/tex]
then for 16) [tex]4.6*15[/tex]
calculista

Let

x-------> distance in the map in cm

y-------> actual distance in Km

we know that

[tex]Scale\ Map=\frac{x}{y} \\ \\ Scale\ Map=\frac{1}{15}\frac{cm}{Km}[/tex]

so

[tex]\frac{x}{y}=\frac{1}{15}[/tex]

[tex]y=15x[/tex] --------> equation [tex]1[/tex]

Part 13) find the actual distance corresponding to the scale map [tex]2.5\ cm[/tex]

In this problem we have

[tex]x=2.5\ cm[/tex]

Substitute the value of x in the equation  [tex]1[/tex] to find the actual distance

[tex]y=15*2.5=37.5\ Km[/tex]

therefore

the answer part 13) is

the actual distance is [tex]37.5\ Km[/tex]

Part 14) find the actual distance corresponding to the scale map [tex]0.2\ cm[/tex]

In this problem we have

[tex]x=0.2\ cm[/tex]

Substitute the value of x in the equation  [tex]1[/tex] to find the actual distance

[tex]y=15*0.2=3\ Km[/tex]

therefore

the answer part 14) is

the actual distance is [tex]3\ Km[/tex]

Part 15) find the actual distance corresponding to the scale map [tex]15\ cm[/tex]

In this problem we have

[tex]x=15\ cm[/tex]

Substitute the value of x in the equation  [tex]1[/tex] to find the actual distance

[tex]y=15*15=225\ Km[/tex]

therefore

the answer part 15) is

the actual distance is [tex]225\ Km[/tex]

Part 16) find the actual distance corresponding to the scale map [tex]4.6\ cm[/tex]

In this problem we have

[tex]x=4.6\ cm[/tex]

Substitute the value of x in the equation  [tex]1[/tex] to find the actual distance

[tex]y=15*4.6=69\ Km[/tex]

therefore

the answer part 16

the actual distance is [tex]69\ Km[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.