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ValentinkaMS [17]
3 years ago
13

City L has a temperature of −3 °F. City M has a temperature of −7 °F. Use the number line shown to answer the questions: Number

line from negative 8 to positive 8 in increments of 1 is shown. Part A: Write an inequality to compare the temperatures of the two cities. (3 points) Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) Part C: Use the number line to explain which city is warmer. (3 points)
Mathematics
1 answer:
Alik [6]3 years ago
4 0
-3 > -7
u have to remember, with negatives, the larger number is smaller in value.

when u plot these numbers on the number line, the number that is farthest to the left is less then...the number that is farthest to the right is greater then. 

-3 is warmer because it is closer to zero then -7.

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\bold{\huge{\blue{\underline{ Solution}}}}

\bold{\underline{ We \: have \:given \: that, }}

  • <u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
  • <u>The </u><u>height </u><u>of </u><u>the </u><u>tower </u><u>is </u><u>6</u><u>0</u><u> </u><u>m </u>
  • <u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

\bold{\underline{ Now}}

  • <u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

\bold{\underline{ So, }}

\sf{ CE = 25m }

<u>Therefore</u><u>, </u>

\sf{ AB = AD - CE }

\sf{ AB = 60 - 25  }

\sf{ AB = 35 m }

<u>Now</u><u>, </u><u> </u><u>In </u><u>Right </u><u>angled </u><u>ABC</u>

\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}

\bold{tan Φ =}{\bold{\frac{ 35}{35}}}

\bold{ tan Φ = 1 }

\bold{ tan Φ = 45 °}

\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}

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