At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
First, we must find the height of olivia.
1m = 100cm (given, metric system)
178/2 = 89cm (olivia is 89cm tall)
Ava is 23cm taller than Olivia, so 89 + 23 would be our next step.
89 + 23 = 112cm tall
Olivia: 89cm
Ava: 112cm
1m = 100cm (given, metric system)
178/2 = 89cm (olivia is 89cm tall)
Ava is 23cm taller than Olivia, so 89 + 23 would be our next step.
89 + 23 = 112cm tall
Olivia: 89cm
Ava: 112cm
Thus, the height of ava and olivia is [tex]\boxed{112\text{ cm}\text{ and }89\text{ cm}}[/tex] respectively.
Further explanation:
It is given that height of ava is [tex]23\text{ centimeter}[/tex] more than the height than the height of olivia and the height of olivia is half of the height of lucas.
Consider the height of ava, olivia and lucas as [tex]x,y[/tex] and [tex]z[/tex].
The height of the lucas is given as [tex]1.78\text{ meter}[/tex].
This implies that the value of [tex]z[/tex] is as follows:
[tex]\boxed{z=1.78}[/tex]
Since, the height of lucas is given in meter so, it is necessary to convert the unit into centimeter.
The height of lucas is converted into centimeter unit as follows:
[tex]\begin{aligned}1\text{ meter}&\rightarrow 100\text{ centimeter}\\1.78\text{ meter}&\rightarrow 1.78\times100=178\text{ centimeter}\end{aligned}[/tex]
Since, the height of olivia is half of the height of lucas so, the equation formed is as follows:
[tex]\boxed{y=\dfrac{z}{2}}[/tex]
Substitute [tex]178[/tex] for the [tex]z[/tex] in the above equation.
[tex]\begin{aligned}y&=\dfrac{178}{2}\\&=89\end{aligned}[/tex]
Therefore, the value of [tex]y[/tex] is [tex]89[/tex].
This implies that the height of olivia is [tex]89\text{ centimeter}[/tex].
It is given that height of ava is [tex]23\text{ centimeter}[/tex] more than the height than the height of olivia so, the equation formed is as follows:
[tex]\boxed{x=23+y}[/tex]
Substitute [tex]89[/tex] for [tex]y[/tex] in the above equation.
[tex]\begin{aligned}x&=23+89\\&=112\end{aligned}[/tex]
This implies that the height of ava is [tex]112\text{ centimeters}[/tex].
Thus, the height of ava and olivia is [tex]\boxed{112\text{ cm}\text{ and }89\text{ cm}}[/tex] respectively.
Learn more:
1. Learn more about problem on coordinate of the graph https://brainly.com/question/1286775
2. Learn more about problem on equations https://brainly.com/question/1473992
3. Learn more about problem on triangles https://brainly.com/question/7437053
Answer details:
Grade: Middle school
Subject: Mathematics
Topic: Problems on Ages
Keywords: Age, height, ava, olivia, lucas, tall, meter, centimeter, unit, conversion, 1.78, value, half of height, taller than olivia, ava is 23 cm.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.