ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Playlist Sequences and Series 8 videos

0
Arithmetic Sequences
8553 Views

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 tryin...

1
Infinite Geometric Series
2815 Views

Help Pepe on his quest to once again become the "Pizza King." Or put that healthy metabolism to use and steal his title. Ten slices in less than a...

2
AP Calculus 1.1 Sequences and Series
237 Views

AP Calculus 1.1 Sequences and Series. Find the Maclaurin series for the equation.

See All

Arithmetic Sequences 8553 Views


Share It!


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.

Related Videos

Tangent Half-Angle Formula
1362 Views

Mosquitos need their caffeine, just like the rest of us. Wouldn't think zipping around and stinging people all day long sap your energy?

Multiplying Matrices
1142 Views

Go forth and multiply... matrices.

Matrix Operations
762 Views

Your one video for all things matrix operations.

Inverse Matrices
691 Views

Neo, we're not in the Matrix anymore.