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TRUE!!.

√4 is this rational or irrational number

It is RATIONAL number. Why? Because: sqrt(4)=2 and I can write 2 as RATIO(that is where the word "rational" comes from), of two other numbers, such as 6/3, 8/4, 20/10, 1/(1/2).........etc.

There are: 10 in between 100 and 200=100,110,120,130.........190, which are multiples of 10.

Therefore, there are: 100 - 10 =90, which are NOT multiples of 10: So that we have:

10 x 100 =100, between 100 and 1,000 which are multiples of 10, and we have:

1,000 - 100=900, between 100 and 1,000 which are NOT multiples of 10.

Your equation will have infinte number of solutions:

2x+5y+-10=2x + 4y =10, such as x=10, y= -2, or x=15, y=-4, or x=-10, y=6.......etc.

Hmm son I think you need a system of equations with x and y variables to solve that aka: ax+by=c and dx+ey=f with a,b,d,e the coefficients and c,f the constants. As for your question i think you want to state that 2x+5y=10 but without another branch its unsolvable, well as for real numbers goes you can always put the x form one side and solve for it aka:

2x+5y=10<=>2x=10-5y<=> x=[10-5y]/2

Well it seems like the answer is based on powers of 3 so 729^1/6 is 3

THAT is going to need some clarification!     G is 18 @ 61 degrees   and  V is 4  at 37 degrees?    If so:

Break each up into VERT aand HORIZ components and add them together....

Gv =18 sin 61 = 15.74

Vv=   4  sin 37 =  2.40

   Vert = 18.14

Gh= 18 cos61 =  8.73

Vh=  4  cos37 =  3.19

     Horiz = 11.92

Angle =  ARCTAN ( 18.14/11.92) = 56.69 degrees

MAGNITUDE = sqrt ( 18.14^2 + 11.92^2)       =  21.71       (via pythagorean theorem)

What kind of model?   What planet?   How many palnets?  How big do yo want it to be?   Maybe make 300 km = 1cm  then Earth model would be about 42 cm dia.....