Sam, Rob and Jim all leave the "START" location at the same time. Sam follows Route A, Rob follows Route B, and Jim follows Route C so they each arrive at the same "END" location. Each grid square represents 100 m distance.

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Ответ:

wilneishawatkins

09.10.2022

Mathematics

a = 3

b = 12

c = 13

Step-by-step explanation:

$\frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}$

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