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Science Mom here with Math Dad. We're back for challenge problem number 24.

Yes we are. This one is a triangle counting problem

again. In this figure the challenge is to count all the triangles that are there.

I'm giving you only two minutes to accomplish this feat. Okay. If you're

watching the video at home please pause now. Try the problem out of yourself. See

if you can come up with the right number of triangles. Science Mom begin. All

right. So I'm going to try and come up with a more systematic way because last time I'm

missed a lot, so I'm gonna start with this line right here and say:

what triangles can I make using this line? So there's 1, 2, 3. Are there anymore? I want to

make sure that I got them all. Oh there are. There are smaller ones, so let me

use a slightly different... There's that one. 1, 2, 3, 4, 5, 6, and I don't think

there's a way I'm gonna get another one so there's 6 for this line right here.

And then I would bet there's gonna be six for this line as well, but I'm double

counting this one. Mm-hmm. So I'm gonna say 5 cuz I don't want to

double count, and then I'm gonna guess that there are also... oh no things are

getting different down here. It's all symmetric. It's all symmetric? I

think that counts as a hint. You're not supposed to give me hints... but thank you.

So 5 all the way around, but when I get around to here it's gonna be

4 because... Good. 12 seconds. Yep okay five, ten, fifteen, twenty, twenty-five.

Are there some that don't touch the outer edge? Yes there are. There is this

one here in the middle. It doesn't share an outer edge. Is that the only

one? Look there's this one and.... There are five of that flavor. There's five of that flavor?

No way. I'm out of colors

There's 1, 2, 3, 4.... I don't see the fifth one.

Well, let me make it a little easier for you.

This angle... so I'm looking at this inner Pentagon. Yeah, yeah.

So that's inside one triangle. That's inside one triangle, one triangle, one

triangle, one triangle. Yeah, so you missed those five, but also what about

these five little ones here? Oh I totally missed those. Okay, so I missed that.

So there were thirty five. In this case because of all the symmetry of the shape

I think it's probably easiest just to count them in groups of five. Identify

a given triangle. Do all five possible rotations of it. Move on to another

triangle that you haven't yet counted. Do all five possible rotations of it.

So you've got seven different triangles that have a five-fold symmetry. Exactly

right. We've got seven triangles we can rotate each of those. Yeah. That's

impressive to me. I'm always way, way higher than you think. I would not guess

thirty-five triangles. Yeah it's surprising. In two minutes that's a

pretty tall challenge to meet. Yeah. But you didn't gloat about the previous

problem being too easy if I recall correctly. Serves me right.

Indeed.

For more infomation >> Math Dad vs Science Mom 24: How many triangles? - Duration: 4:45.

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CCTV statistics show just how much we are being watched in Wales - Duration: 4:05.

 Cardiff is the fourth most watched city in the whole of the UK, new statistics reveal

 In this day and age, we are used to seeing CCTV cameras on every street, around every corner we turn, whether behind the wheel or on foot

 But how watched are we? How many cameras are there in our capital city, and in the whole of Wales?  A company called Get Licensed, who provide training on all things CCTV, has obtained information that reveals the number of cameras on our streets, and the cost that goes with operating them

 They contacted councils from all over the UK to ask them how many CCTV cameras they operated

 Cardiff, despite being the tenth largest city in the UK by population, has the fourth highest number of CCTV cameras with more than a thousand in the Cardiff Council area

 This is more than 15 times the number of cameras in the city and county of Swansea

 There are 1,022 cameras in Cardiff in total, the only Welsh area that makes the top 20 list of the UK's most watched areas

 The next Welsh area in terms of number of CCTV cameras is Rhondda Cynon Taff, with 300

 Surprisingly, Fife in Scotland is the most watched area in the whole of the UK with 1,158 cameras, followed by Southampton with 1,150 and Leeds with 1,066

Here's a full breakdown of the number of cameras in your area:   - Blaenau Gwent County Borough - 63   - Bridgend County Borough Council & Vale of Glamorgan - 204   - Cardiff Council - 1022   - City & County of Swansea - 64   - Conwy County Borough Council - 102   - Denbighshire Council - 94   - Flintshire County Council - 78   - Gwynedd Council - 73   - Merthyr Tydfil Council - 90   - Monmouthshire Council - 38   - Neath Port Talbot Council - 49   - Newport Council - 39   - Rhondda Cynon Taf County Borough Council - 300   - Torfaen County Borough - 48   - Wrexham County Borough Council – 135  Other councils either did not provide the information requested or their CCTV is outsourced to another company

 Cardiff Council pays staff £658,638 a year to operate the cameras, and spends a further £248,629 on CCTV maintenance costs

 The number of cameras in the capital make up almost a third of the total amount in the whole of Wales

 Throughout the country, there are 3,421 CCTV cameras.  The cost of operating all these cameras in terms of staff is just short of £2million a year, with additional maintenance costs of more than £850,000

 In the whole of the UK, there are 46,950 cameras, costing local authorities more than £31million a year in staff operation costs and more than 10million in maintenance costs, meaning that the tax payer pays around £42million each year to monitor our streets

For more infomation >> CCTV statistics show just how much we are being watched in Wales - Duration: 4:05.

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You Won't Believe How Many Trump Supporters Mueller May Indict - Duration: 12:18.

You Won't Believe How Many Trump Supporters Mueller May Indict

Robert Mueller had overstayed his welcome.

Even those who initially supported his investigation have turned on him.

And now he just admitted when his investigation will end.

It's no surprise to anybody paying attention that Robert Mueller's investigation into

Russia collusion during the 2016 election isn't going well.

So far he's overblown a meeting held in Trump tower that turned out to be a waste

of time.

He has indicted a number of Trump officials on non-Russia or Trump campaign offenses.

And now he seems to be out of cards to pull.

It is becoming increasingly obvious that the entire investigation is a witch hunt meant

to harm President Trump and Republicans.

Now the New York Post is reporting that Robert Mueller is looking to end his investigation

by this fall.

He is supposedly planning to indict 13 people association with Donald Trump's campaign

who had suspicious contacts with Russians.

Those mentioned include Attorney General Jeff Sessions, former national security adviser

Michael Flynn, Donald Trump Jr., and a number of others.

The timing of the indictment is important in this case.

If it is released just before the election, it opens up the possibility that the entire

investigation is nothing more than a ploy to hurt Republicans.

Trump's lawyer Rudy Giuliani has stated that if the investigation affects the outcome

of the election, Mueller could find himself being investigated for election interference.

Democrats have already created precedent with that claim because of former FBI Director

James Comey.

Democrats have used the harsh words that Comey used against Hillary Clinton and her use of

a private email server as an excuse for their loss against Donald Trump.

If Mueller releases his report on Russia collusion close enough to the election that there is

no time to review it, it will mean bad news for him.

Giuliani has told him to complete his investigation by September to avoid being investigated.

If he doesn't, it could end badly.

Russian influence in the 2016 elections will be extremely relevant during the upcoming

midterm elections.

Democrats have been threatening to impeach Trump over rumors of Russia collusion since

the day he was elected.

If they gain control of the House and Senate they very well could do that.

There has been no president in history that has been as much trouble for the left as Donald

Trump has.

His election killed the Clinton dynasty and created turmoil among the left.

He brought the injustices that have occurred at the hand of government institutions front

and center, questioning the FBI, Obama Administration, and countless other government agents.

Robert Mueller is their best chance to put a stop to all of the progress President Trump

has made.

But Trump supporters will continue to stand with him.

There has been no President besides George W. Bush, post 9/11, who has higher approval

in his own party.

His approval rating is climbing.

It will be an uphill battle to defeat Republicans aligned with Trump in 2018.

Do you think Republicans will do well in the upcoming midterm elections?

Let us know your thoughts in the comments section below.

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