Connect with a community of experts and enthusiasts on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.
Sagot :
- Ava's height is 89 cm
- Olivia's height is 112 cm
Further explanation
Given:
- Ava is 23 cm taller than Olivia
- Olivia is half the height of Lucas
- Lucas is 1.78 m tall
Question:
How tall are Ava and Olivia?
Express their heights in centimeters.
Problem solving:
From the information above, only Lucas's tall has known at 1.78 m.
Because Olivia is half the height of Lucas, then we must multiply Lucas's height with ¹/₂ to get Olivia's tall.
[tex]\boxed{ \ Olivia's \ height = \frac{1}{2} \times 1.78 \ m \ }[/tex]
Or, we can halve Lucas's height as follows:
[tex]\boxed{ \ Olivia's \ height = 1.78 \ m \div 2 \ }[/tex]
Thus, Olivia's height is [tex]\boxed{ \ 0.89 \ meters \rightarrow 89 \ cm \ }[/tex]
Next, we find out Ava's height.
Because Ava's is 23 cm taller than Olivia’s, then we must add Olivia’s height with 23 cm to get Ava's height.
Ava's height = 89 cm + 23 cm
Thus, Ava's height is [tex]\boxed{ \ 112 \ cm \rightarrow 1.12 \ meters \ }[/tex]
We have to express their height in centimeters. Recall that 1 m = 100 cm.
Conclusion
- Ava's height is 0.89 m or 89 cm
- Olivia's height is 1.12 m or 112 cm
- Lucas's height is 1.78 m or 178 cm
Learn more
- About the addition of walking trail distances. https://brainly.com/question/13174273
- How much netting did Mrs.Nguyen use per goal? brainly.com/question/13174287
- Which expression represents the amount of change Huang should receive? brainly.com/question/13087541#
Keywords: Ava is 23 cm taller than Olivia, half the height of Lucas, 1.78 m tall, multiply, express their heights in centimeters.
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.
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.
