Answer:
7.9 centimeters
Step-by-step explanation:
14.8 - 2.4 = 12.4 so you now know the new circumference
12.4/pi = 3.95 which is the new radius
3.95 x 2 = 7.9 which is the new diameter
The diameter of the roll after you use the tape is 4 centimeters.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let d be the diameter of the tape.
The tape is in the form of circle.
The circumference of a roll of tape,C = 14.8
The circumference decreases 2.4 centimeters after you use some of the tape.
So the new circumference, [tex]14.8-2.4=12.4[/tex]
The formula of circumference of the circle is
[tex]C=\pi d[/tex]
We know the value of π is 3.14 and substitute the above values,
⇒ [tex]12.4=3.14d[/tex]
⇒ [tex]d=\frac{12.4}{3.14}[/tex]
⇒ [tex]d=3.94[/tex] ≈ [tex]4[/tex]
Hence we can conclude that the diameter of the roll after you use the tape is 4 centimeters.
Learn more about word problems here
brainly.com/question/20594903
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