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irakobra [83]
3 years ago
8

On a hiking map, the distance from mountain peak A to mountain peak B is 12.3 inches. The actual distance is is about 1,000 mile

s. What is the distance on the same map from river A to river B if the actual distance is about 100 miles?
Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer:

1.23 inch

Step-by-step explanation:

12.3 in : 1000 mi = X in : 100 mi

x = (12.3 x 100) / 1000 = 1.23 in

aleksandr82 [10.1K]3 years ago
3 0

Answer:

1.23 inch

Step-by-step explanation:

12.3 in : 1000 mi = X in : 100 mi

x = (12.3 x 100) / 1000 = 1.23 in

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Find the coordinates of the point three tenths<br><br> of the way from A(-4, -8) to B(11, 7)
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let's first off take a peek at those values.

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\bf ~~~~~~~~~~~~\textit{internal division of a line segment}&#10;\\\\\\&#10;A(-4,-8)\qquad B(11,7)\qquad&#10;\qquad \stackrel{\textit{ratio from A to B}}{3:7}&#10;\\\\\\&#10;\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]&#10;~\dotfill\\\\&#10;C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]&#10;~\dotfill


\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill

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Answer:

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Step-by-step explanation:

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