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Arithmetic Sequences 8553 Views


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Description:

Sequences are nice. Without them, there would be no rhyme or reason to anything—no way to ever know what’s coming next. And it would make trying to DVR The Voice a total pain in the rear end.

Language:
English Language

Transcript

00:04

Arithmetic Math Problems, a la Shmoop. Phil and Jill have successfully robbed a bank.

00:11

They can’t get into too much trouble for it, as they are in the bank robbers’ union.

00:18

But they’d rather not deal with the authorities if they can help it.

00:22

Phil rides his getaway bike due north pedaling at 20 miles per hour.

00:25

Jill rides her getaway bike due east pedaling at 22 miles per hour.

00:31

How far apart are they after fifteen minutes? Round the answer to the nearest tenth.

00:40

Here are your choices? Not that Phil or Jill really give a hoot what

00:46

shape they’re forming… …but the local sheriff is intrigued when

00:51

he realizes that… …because Phil and Jill are traveling due

00:55

north and due east, creating a 90 degree angle… … the two fugitives have created a perfectly

01:02

right triangle. Fortunately for Phil and Jill, the cops in

01:07

this town are easily distracted by arithmetic problems.

01:10

The cops decide to let n represent the distance between the two felons…

01:18

…and then use the Pythagorean theorem to work out the distance.

01:21

When we draw it out, it should look something like this….

01:27

0.25 hours times 20 miles per hour squared plus 0.25 hours times 22 miles per hour squared

01:34

equals n squared. This reduces to 5 squared plus 5.5 squared

01:37

equals n squared… …then to 55.25 equals n squared.

01:41

So n equals the square root of 55.25… which is 7.4

01:47

Looks like “C” is our answer. However, by the time the police have arrived

01:51

at this solution… …Phil and Jill are long gone with the loot.

01:57

Maybe now those two can afford a decent getaway vehicle.

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