Mathematics: 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

Fill in the missing dimensions. round your answer

Ответ:

bsmith892341

13.03.2022

(1) Ans: 19.1 m

Solution:

$\frac{model}{actual} = \frac{4}{x} \\ \frac{55.7}{265.4} = \frac{4}{x} \\ x = \frac{4*265.4}{55.7} \\ x = 19.1 m$

(2) Ans: 1.7 ft

Solution:

$\frac{map}{actual} = \frac{1}{15.9} \\ \frac{x}{26.8} = \frac{1}{15.9} \\ x = \frac{1*26.8}{15.9} \\ x = 1.7 ft$

(3) Ans: 2.3 mi

Solution:

$\frac{map}{actual} = \frac{9}{3} \\ \frac{6.8}{x} = \frac{9}{3} \\ x = \frac{6.8*3}{9} \\ x = 2.3 mi
$

(4) Ans: 6.8 mi

Solution:

$\frac{map}{actual} = \frac{2}{5} \\ \frac{2.7}{x} = \frac{2}{5} \\ x = \frac{2.7*5}{2} \\ x = 6.8 mi$

(5) Ans: 4.0 ft

Solution:

$\frac{map}{actual} = \frac{1}{13.7} \\ \frac{x}{54.9} = \frac{1}{13.7} \\ x = \frac{1*54.9}{13.7} \\ x = 4.0 ft$

(6) Ans: 7.8 m

Solution:

$\frac{model}{actual} = \frac{4}{x} \\ \frac{55.7}{108.4} = \frac{4}{x} \\ x = \frac{4*108.4}{55.7} \\ x = 7.8 m$

(7) Ans: 1.5 mi

Solution:

$\frac{map}{actual} = \frac{9}{2} \\ \frac{6.8}{x} = \frac{9}{2} \\ x = \frac{6.8*2}{9} \\ x = 1.5 mi$

(8) Ans: 4.9 mi

Solution:

$\frac{map}{actual} = \frac{4}{2} \\ \frac{9.7}{x} = \frac{4}{2} \\ x = \frac{9.7*2}{4} \\ x = 4.9 mi$

(9) Ans: 36.0 m

Solution:

$\frac{model}{actual} = \frac{6}{x} \\ \frac{24.5}{146.8} = \frac{6}{x} \\ x = \frac{6*146.8}{24.5} \\ x = 36.0 m$

(10) Ans: 1.2 m

Solution:

$\frac{map}{actual} = \frac{1}{16.5} \\
\frac{x}{19.5} = \frac{1}{16.5} \\ 
x = \frac{1*19.5}{16.5} \\ 
x = 1.2 m$

(11) Ans: 4.9 mi

Solution:

$\frac{map}{actual} = \frac{6}{6} \\ 
\frac{4.9}{x} = \frac{6}{6} \\ 
x = \frac{6*4.9}{6} \\ 
x = 4.9 mi$

(12) Ans: 43.7 m

Solution:

$\frac{model}{actual} = \frac{10}{x} \\ 
\frac{60.5}{264.2} = \frac{10}{x} \\ 
x = \frac{10*264.2}{60.5} \\ 
x = 43.7 m$

(13) Ans: 3.7 m

Solution:

$\frac{map}{actual} = \frac{1}{17.6} \\ 
\frac{x}{65.2} = \frac{1}{17.6} \\ 
x = \frac{1*65.2}{17.6} \\ 
x = 3.7 m$

(14) Ans: 6.8 mi

Solution:

$\frac{map}{actual} = \frac{5}{4} \\ 
\frac{8.5}{x} = \frac{5}{4} \\ 
x = \frac{8.5*4}{5} \\ 
x = 6.8 mi$

(15) Ans: 55.9 m

Solution:

$\frac{model}{actual} = \frac{9}{x} \\ 
\frac{32.9}{204.3} = \frac{9}{x} \\ 
x = \frac{9*204.3}{32.9} \\ 
x = 55.9 m$

(16) Ans: 2.5m

Solution:

$\frac{map}{actual} = \frac{1}{15.2} \\ 
\frac{x}{37.9} = \frac{1}{15.2} \\ 
x = \frac{1*37.9}{15.2} \\ 
x = 2.5 m$

(17) Ans: 27.6 mi

Solution:

$\frac{map}{actual} = \frac{3}{9} \\ 
\frac{9.2}{x} = \frac{3}{9} \\ 
x = \frac{9.2*9}{3} \\ 
x = 27.6 mi$

(18) Ans: 7.1 m

Solution:

$\frac{model}{actual} = \frac{5}{x} \\ 
\frac{64.9}{92.6} = \frac{5}{x} \\ 
x = \frac{5*92.6}{64.9} \\ 
x = 7.1 m$

(19) Ans: 4.2 m

Solution:

$\frac{map}{actual} = \frac{1}{10.2} \\ 
\frac{x}{42.8} = \frac{1}{10.2} \\ 
x = \frac{1*42.8}{10.2} \\ 
x = 4.2 m$

(20) Ans: 12.0 mi

Solution:

$\frac{map}{actual} = \frac{5}{7} \\ 
\frac{8.6}{x} = \frac{5}{7} \\ 
x = \frac{8.6*7}{5} \\ 
x = 12.0 mi$

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