Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×25²) machine. To get started, think about the hookup you could use to replace the (×25) machine.
Solution:
Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken.
We have to find a hook-up of two repeater machines that will do the same work as a (×25²) machine.
A repeater machine is a hypothetical machine which automatically enlarges items several times.
We know that, when two machines are hooked up their stretching power is multiplied.
Stretching power = 25²
= 25 × 25
= 5 × 5 × 5 × 5
= 5² × 5²
Therefore, two repeater machines that will do the same work as a (×25²) machine are (× 5²) and (× 5²).
✦ Try This: Neela needs to stretch some sticks to 81² times their original lengths, but her (×81) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×81²) machine.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 162
Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (×25²) machine. To get started, think about the hookup you could use to replace the (×25) machine.
Summary:
Neha needs to stretch some sticks to 25² times their original lengths, but her (×25) machine is broken. A hook-up of two repeater machines that will do the same work as a (×25²) machine are (× 5²) and (× 5²).
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