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notsponge [240]
3 years ago
8

the scale on a map is 2 cm = 25 miles .Dave measured the distance to the next town at 5 cm.How many miles away is the next town?

Mathematics
2 answers:
klemol [59]3 years ago
8 0

Answer:

62.5

Step-by-step explanation:

(25/5) x5

NeTakaya3 years ago
6 0

Answer:

The next town is 62.5 miles away

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{ \leadsto{ \sf{ \green{ {x}^{4}  + 25 = 26 {x}^{2} }}}} \\  \\ { \leadsto{ \sf{ \green{ {x}^{4}  - 26 {x}^{2}  + 25 = 0}}}} \\  \\ { \sf{ \underline{ \blue{let  \:  \: {x}^{2} \:  be \: equal \: to \: a}}}}

{ \leadsto { \green{ \sf{ {a}^{2}  - 26a + 25 = 0}}}} \\  \\ { \leadsto{ \green{ \sf{ {a}^{2}  - (a + 25a) + 25 = 0}}}} \\  \\ { \leadsto{ \green{ \sf{ {a}^{2}  - a - 25a + 25 = 0}}}} \\  \\ { \leadsto{ \green{ \sf{a(a - 1) - 25(a - 1) = 0}}}}

{ \leadsto{ \sf{ \green{(a - 1)(a - 25) = 0}}}} \\  \\ { \sf{ substituting \: value \: of \: a}} \\  \\ { \rightarrow{ \sf{ \blue{( {x}^{2}  - 1)( {x}^{2}  - 25) = 0}}}} \\  \\ { \sf {{x}^{2}  = 1}}  \\ { \sf{ \underline{x = \: ±  \: 1}}} \\  \\  \\ { \sf {x}^{2}  = 25}  \\ { \sf{ \underline{x =  \: ± \: 5}}}

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3 years ago
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the
Brrunno [24]
We will use the Pythagorean theorem to determine the height:h^{2}=15^{2} - 3.5^{2} h^{2} =225 - 12.25=212.75 Finally: h= \sqrt{212.75}=14.5859
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3 years ago
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4 years ago
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Step-by-step explanation:

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Hello,

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