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Emine5607 u r a sad, strange little man. 

(Facepalm) 🤦🏻‍♂️

Draw  QM intersecting  RT  at M  and parallel to T

Then.....triangle RQM  is right  with  angle RQM  = 10°

Then  we have that

sin (RQM)  =  RM / QR   

sin (10°)  = RM / QR   

QR sin (10°)  =  RM

Then....the height of Q above the ground is given by :

RT  -  RM  =

RT - QRsin (10° )

The aspect ratio of a computer monitor is given as width : height.   So....

width : height  =  16 :9

We are given that the width is 20 inches

Let the height be  h  inches.

20 inches : h inches  =  16 : 9

20 : h  =  16 : 9

                              This means the same as..

20 / h  =  16 / 9

                              Multiply both sides of the equation by  h .

20  =  h * 16/9

                              Multiply both sides of the equation by  9/16 .

20 * 9/16  =  h

11.25  =  h

Now we can use the Pythagorean Theorem to find the length of the diagonal.

(width)² + (height)²  =  (length of diagonal)²

20² + 11.25²  =  (length of diagonal)²

400 + 126.5625  =  (length of diagonal)²

526.5625  =  (length of diagonal)²

√526.5625  =  length of diagonal

length of diagonal   ≈   23  inches

This is not a dating website. Just stop asking people for c**p. You probly dont even want a girlfriend. 

Thanks so much!

The radius of circle 1 is  8x

The radius of circle 2 is  2x

The radius of circle 1 is  4  times the radius of circle 2, so

Circle 1 is a dilation of circle 2 with a scale factor of 4.

Just put this into the calculator  ≈  2.7945   (rounded )

Since you have 3 pieces out of 15, then the probability is:

3 / 15 = 1 / 5

Since this is an isosceles trapezoid.....the non-parallel sides are equal

The length of one of the sides, S, is the hypotenuse of a right triangle and is given by

sin (60) = 2sqrt(3)  / S

sqrt (3) / 2  =  2sqrt (3) / S

1/2  = 2/S      rearrange  as

S  =  2 / (1/2)   = 4

Call the other leg of this triangle, L

And the length of L  can be found as follows :

tan (60) = 2sqrt (3) / L

sqrt (3)  = 2sqrt (3)  /L

1  = 2 / L

L  = 2

And due to symmetry...the length of the longer base is  5  + 2L  =  9

So.....the perimeter  is    5  + 2(4) +  9    =     22  in

Here's a pic, ACG :

hilarious

what she told you

Ouch that hurt

You can write your expression as:

(sqrt(10)+sqrt(2))^2. Expand:

(sqrt(10) + sqrt(2))^2 = 2 + 2 sqrt(5) + 2 sqrt(5) + 10 = 12 + 4 sqrt(5):
4 sqrt(5) + 12

Factor 4 out of 12 + 4 sqrt(5) giving 4 (sqrt(5) + 3):

4 (sqrt(5) + 3)

Cause I dont want to talk to you

Uhm...No thank you!

Imagine that there's only  1  question. How many paths are there?

Path 1:  yes

Path 2:  no

So 1 question makes  2  paths.

If there are  2  questions, how many paths are there?

Path 1:  yes, yes

Path 2:  yes, no

Path 3:  no, yes

Path 4:  no, no

So  2  questions make  4  paths.

If there are  3  questions, how many paths are there? I'll get it started...

yes, yes, yes

yes, yes, no

yes, no, yes,

yes, no, no

no, yes, yes

. . .

That is not the complete list. Does that help any?

Remember we are given that there are 8 paths; we want to know the minimum number of questions that make 8 paths.

Thank you!

Probability  of   two kings  =  C(4,2) / C(52, 2)

Probability  of at least one ace =   1  - P (no aces)  =   1 - C(48, 2)  / C(52, 2)

So......total probability  is

[ C(4,2)/C(52, 2) ]   +  [ 1  - C(48,2)   / C(52,2)]  =    2 / 13