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This question...is hard!!! 

i believe this question has already been answered here:

https://web2.0calc.com/questions/help_82190 :)

Your, welcome!!! 😌

Nice, couldn't have it said it better myself!

👌👌👌

Oh. I get your reasoning but like-

The top of the line with a question mark should be half of the line with 8 centimetres which means it's 4?

That's what I see-

So could you please explain what I did wrong?

Use geometric Probability.

5+3+7+2 = 17 total books. 

7 were picture books. 

7/17 is the probability that the next book erturned to the library is a picture book. 

I hope this helped. :)))

=^._.^=

Thanks!!

Good job, macar0ni  !!!

Exactly correct   !!!!

Hexagon has 720 degrees, 180*(6-2). 

720 - 119 - 129 - 104 - 139 - 95 = 134

I hope this helped. :))

=^._.^=

A 2% decrease  means   that   every successive year, the number of  employees is 98%  = .98 of the  previous year

So

690  (.98)^13   ≈  531 employees after 13 years

you can set up some equations for this one:

adult tickets = a

child tickets = c

a+c = 12

10a+5c = 100

a = 12 - c

10(12 - c) + 5c = 100

120 - 10c + 5c = 100

120 - 5c = 100

-5c = -20

c = 4

a = 12 - 4

a = 8

so, Quentin bought 4 child tickets and 8 adult tickets. 

hopefully you can follow what i did with the equations above! please correct me if i am wrong:)

Very nice, OBJD    !!!

Let A  be  the top left  vertex of the  figure

B =the bottom left vertex of the  figure

C = the  bottom right  vertex

D = top right  vertex

E  = the intersection of the diagonals

FE  = the  height we are looking for

Note  that triangle ABE  is similar to  triangle  CDE

So   the  altitude of  ABE  to the altitude of   CDE  =12 : 8 

Therefore   BF  = (12)/ (12 + 8) BC  =  (12/20) BC

So  FC  =  (8/20) BC

And  triangle ABC  is similar to triangle  EFC

So

AB / BC   =  EF /FC

12 / BC  = EF / FC

12/ BC  =  EF /  [( 8/20) BC]

12 =  EF / (8/20)

12  (8/20)   = EF

96/20  = EF   =  24/5  =  4.8    =  ?

Based on the diagram, we can tell that angle A is the same as Angled EDF as they are parallel angles.

So that means that:

72+2x+2x= 180.

180 - 72 = 4x

108 = 4x

x = 27 degrees.

Hope that helps!!! :)

🙃🙃👌

The altitude, 1/2 base length  and the  side form  a 30-60-90  right triangle

The  altitude  is  opposite  a 60° angle

The side is  opposite a  90° angle

Using the relationships in this triangle :

The  side =   2 /sqrt (3)  * 27  =    54/sqrt (3)   =  54sqrt (3) / 3  =  18sqrt (3)

By long division, the remainder is 99x + 98.

THANK YOU SO MUCHHHHH :>

The Answer must be 4, as the top of the line with the question mark is half of the side with length 8.

1/2 x 8 =4

Hope that helps!!! :)

🙃🙃👌

https://mi01000971.schoolwires.net/cms/lib/MI01000971/Centricity/Domain/2361/7.4%20Review%20WS%20KEY.pdf

Go to the 2nd Page

Using the Law of Cosines

AB  =  sqrt (1^2 + 1^2  - 2 cos ( 72) ) =   sqrt  ( (1/2) (5  -sqrt (5) )

AC   =  sqrt  [   AB^2  + AB^2  - 2 (AB^2) cos ( 108)  ]  =  sqrt  [ (1/2) (5 + sqrt (5)) ]

AB * AC   =    sqrt   [  (1/2) (5 -sqrt (5))  (1/2) (5 + sqrt (5)) ]  =   (1/2)  sqrt  [ 25 - 5 ]  =  (1/2) sqrt (20) =

(1/2) 2 sqrt (5)   =     sqrt (5)

Your Welcome, happy to help!

The Meter Stick is 1 metre long or 10 decimeter. 

3/10 of a metre

The Closest multiple of 3 near 10 is 9.

That means 1 decimetre would be leftover.

Therefore, 1/10 is the remainder and we can have 3 such sticks

(Also, if I prefer Australian or British spelling so deal with my spelling 😌😎)

Hope that helps :) !!!

🙃🙃👌

1 m / (3/10 m/stick) =    10/3 sticks   = 3 sticks of length 3/10 m      with 1/3 m stick ' left over '