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Sergio039 [100]

2 years ago

11

The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number.

The first student says 5. Victor is tenth in line. What number should Victor say?

1 answer:

AnnyKZ [126]2 years ago

8 0

(This is the order in terms with the rule) 5 ... 8 ... 11 ... 14 ... 17 ... 20 ... 23 ... 26 ... 29 ... 32 ... So victor should say the number 32

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so, we have two 54x18 rectangles, so their perimeter is simply all those units added together, 54+54+54+54+18+18+18+18 = 288.

we know the circle's diameter is 1.5 times the width, well, the width is 18, so the diameter of the circle must be 1.5*18 = 27.

$\bf \stackrel{\textit{circumference of a circle}}{C=d\pi }~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=27 \end{cases}\implies C=27\pi \implies C=\stackrel{\pi =3.14}{84.78} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the rectangles}}{288}~~~~+~~~~\stackrel{\textit{perimeter of the circle}}{84.78}~~~~=~~~~372.78$

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