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Fill in the missing dimensions. Round your answer to the nearest tenth
1. The scale factor for a model is 4 cm= ________ m
Model : 55.7 cm
actual: 265.4 m
2. The scale of a map is 1 ft = 15.9 mi
map: ________ ft
actual: 26.8 mi
3. The scale of a map is 9 m = 3 mi
map: 6.8 m
actual: ______ mi
4. The scale of a map is 2 km = 5 mi
map: 2.7 km
actual: ______ mi
5. The scale of a map is 1 ft = 13.7 mi
map: ________ ft
actual: 54.9 mi
6. The scale factor for a model is 4 cm= ________ m
Model : 55.7 cm
actual: 108.4 m
7. The scale of a map is 9 m = 2 mi
map: 6.8 m
actual: ______ mi
8. The scale of a map is 4 mm = 2 mi
map: 9.7 mm
actual: ______ mi
9. The scale factor for a model is 6 cm = ________ m
Model : 24.5 cm
actual: 146.8 m
10. The scale of a map is 1 m = 16.5 mi
map: ________ m
actual: 19.5 mi
11. The scale of a map is 6 ft = 6 mi
map: 4.9 ft
actual: ______ mi
12. The scale factor for a model is 10 cm = ________ m
Model : 60.5 cm
actual: 264.2 m
13. The scale of a map is 1 m = 17.6 mi
map: ________ m
actual: 65.2 mi
14. The scale of a map is 5 km = 4 mi
map: 8.5 km
actual: ______ mi
15. The scale factor for a model is 9 cm = ________ m
Model : 32.9 cm
actual: 204.3 m
16. The scale of a map is 1 m = 15.2 mi
map: ________ m
actual: 37.9 mi
17. The scale of a map is 3 ft = 9 mi
map: 9.2 ft
actual: ______ mi
18. The scale factor for a model is 5 cm = ________ m
Model: 64.9 cm
actual: 92.6 m
19. The scale of a map is 1 m = 10.2 mi
map: ________ m
actual: 42.8 mi
20. The scale of a map is 5 yd =7 mi
map: 8.6 yd
actual: ________ mi

Respuesta :

IsrarAwan
(1) Ans: 19.1 m

Solution:

[tex] \frac{model}{actual} = \frac{4}{x} \\ \frac{55.7}{265.4} = \frac{4}{x} \\ x = \frac{4*265.4}{55.7} \\ x = 19.1 m [/tex]

(2) Ans: 1.7 ft

Solution:

[tex] \frac{map}{actual} = \frac{1}{15.9} \\ \frac{x}{26.8} = \frac{1}{15.9} \\ x = \frac{1*26.8}{15.9} \\ x = 1.7 ft[/tex]

(3) Ans: 2.3 mi

Solution:

[tex]\frac{map}{actual} = \frac{9}{3} \\ \frac{6.8}{x} = \frac{9}{3} \\ x = \frac{6.8*3}{9} \\ x = 2.3 mi [/tex]

(4) Ans: 6.8 mi

Solution:

[tex]\frac{map}{actual} = \frac{2}{5} \\ \frac{2.7}{x} = \frac{2}{5} \\ x = \frac{2.7*5}{2} \\ x = 6.8 mi[/tex]

(5) Ans: 4.0 ft

Solution:

[tex] \frac{map}{actual} = \frac{1}{13.7} \\ \frac{x}{54.9} = \frac{1}{13.7} \\ x = \frac{1*54.9}{13.7} \\ x = 4.0 ft[/tex]

(6) Ans: 7.8 m

Solution:

[tex]\frac{model}{actual} = \frac{4}{x} \\ \frac{55.7}{108.4} = \frac{4}{x} \\ x = \frac{4*108.4}{55.7} \\ x = 7.8 m [/tex]

(7) Ans: 1.5 mi

Solution:

[tex]\frac{map}{actual} = \frac{9}{2} \\ \frac{6.8}{x} = \frac{9}{2} \\ x = \frac{6.8*2}{9} \\ x = 1.5 mi [/tex]

(8) Ans: 4.9 mi

Solution:

[tex]\frac{map}{actual} = \frac{4}{2} \\ \frac{9.7}{x} = \frac{4}{2} \\ x = \frac{9.7*2}{4} \\ x = 4.9 mi [/tex]

(9) Ans: 36.0 m

Solution:

[tex]\frac{model}{actual} = \frac{6}{x} \\ \frac{24.5}{146.8} = \frac{6}{x} \\ x = \frac{6*146.8}{24.5} \\ x = 36.0 m[/tex]

(10) Ans: 1.2 m

Solution:

[tex]\frac{map}{actual} = \frac{1}{16.5} \\ \frac{x}{19.5} = \frac{1}{16.5} \\ x = \frac{1*19.5}{16.5} \\ x = 1.2 m[/tex]

(11) Ans: 4.9 mi

Solution:

[tex]\frac{map}{actual} = \frac{6}{6} \\ \frac{4.9}{x} = \frac{6}{6} \\ x = \frac{6*4.9}{6} \\ x = 4.9 mi[/tex]

(12) Ans: 43.7 m

Solution:

[tex]\frac{model}{actual} = \frac{10}{x} \\ \frac{60.5}{264.2} = \frac{10}{x} \\ x = \frac{10*264.2}{60.5} \\ x = 43.7 m[/tex]

(13) Ans: 3.7 m

Solution:

[tex]\frac{map}{actual} = \frac{1}{17.6} \\ \frac{x}{65.2} = \frac{1}{17.6} \\ x = \frac{1*65.2}{17.6} \\ x = 3.7 m[/tex]

(14) Ans: 6.8 mi

Solution:

[tex]\frac{map}{actual} = \frac{5}{4} \\ \frac{8.5}{x} = \frac{5}{4} \\ x = \frac{8.5*4}{5} \\ x = 6.8 mi[/tex]

(15) Ans: 55.9 m

Solution:

[tex]\frac{model}{actual} = \frac{9}{x} \\ \frac{32.9}{204.3} = \frac{9}{x} \\ x = \frac{9*204.3}{32.9} \\ x = 55.9 m[/tex]

(16) Ans: 2.5m

Solution:

[tex]\frac{map}{actual} = \frac{1}{15.2} \\ \frac{x}{37.9} = \frac{1}{15.2} \\ x = \frac{1*37.9}{15.2} \\ x = 2.5 m[/tex]

(17) Ans: 27.6 mi

Solution:

[tex]\frac{map}{actual} = \frac{3}{9} \\ \frac{9.2}{x} = \frac{3}{9} \\ x = \frac{9.2*9}{3} \\ x = 27.6 mi[/tex]

(18) Ans: 7.1 m

Solution:

[tex]\frac{model}{actual} = \frac{5}{x} \\ \frac{64.9}{92.6} = \frac{5}{x} \\ x = \frac{5*92.6}{64.9} \\ x = 7.1 m[/tex]

(19) Ans: 4.2 m

Solution:

[tex]\frac{map}{actual} = \frac{1}{10.2} \\ \frac{x}{42.8} = \frac{1}{10.2} \\ x = \frac{1*42.8}{10.2} \\ x = 4.2 m[/tex]

(20) Ans: 12.0 mi

Solution:

[tex]\frac{map}{actual} = \frac{5}{7} \\ \frac{8.6}{x} = \frac{5}{7} \\ x = \frac{8.6*7}{5} \\ x = 12.0 mi[/tex]

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