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Sin(25)=9/c ---> Sin(25)*c=9 ---> c= 9/sin(25) -----> c= 21.30 

2 /(2/3) = (2/1) / (2/3) =  2/1 x 3/2 = 6/2 = 3

sqrt(100) / sqrt(25)  =  10/5 =2

4/6

F=ma

vf=vo + at     rearranging:  (vf-vo)/t = a    Substitute into the next equation

xf=xo+vot+1/2at^2

4.2 = 0 + 6.33(t) + 1/2 (2.38-6.33)/t  * t^2

4.2 = 6.33t + (-1.975)t

t=.964409 sec

(vf- vo)/t = a

(2.38-6.33 )/  t = a = -4.09577 m/s^2

F=ma = 1210 kg  (-4.09577 m/sec^2) =  - 4955.88 J   (negative because it is opposite to the motion of the coaster)

THAT is the form of an equation for a LINE  where m = slope and 'b' is the y-axis intercept. (where 'x' = 0)

Probably not at all as 1 BILLION people would likey be scattered all over the globe and their jumping forces would cancel out.

Easiest if eveything is in the same units....    1 ft = 12 inches

40ft(12inches/ft) x 1ft(12inches/ft) x 3ft(12 inches/ft) = 207360 cu inches

Each brick is 8x4x2=64 cu inches

Some bricks may need to be cut, (and assuming no mortar space)   207360 cu inches / (64 in^3/brick) = 3240 bricks

=a ^(5*3) = a^(15)

= (-3/8)^2 * (t^(2*2))

9/64 t^4

1.19

f(x) = x^2 -3x

g(x) = x-3

f(x) > g(x)

So we have that    f(x) > g(x)    means that

x^2 - 3x  >  x - 3       subtract x from both sides.....add 3 to both sides

x^2 - 3x - x + 3 >  0       factor

x (x -3)  - 1(x - 3) > 0   .......  (x - 3)  is the common factor

(x -1) (x -3) > 0    .......Set to 0

(x -1) ( x - 3)  = 0  

Setting each factor to 0  gives us the solutions of  x  = 1  and  x = 3

This tells us that the solutions will come from these possible intervals :

(-inf, 1) , (1, 3)   or (3, inf)   ........   test a point in the inequality (x -1) (x -3) > 0 in each interval

If x = 2, the inequality will be untrue

If x = 4 it will be true    and it will be true if x = 0

So.....the correct solutions are  :  (-inf, 1) U (3, inf)    or    x < 1  U   x > 3

Let x  = number of rows.....then (x + 8)   = the seats on each row

And we have that

x (x + 8)  = 1833

x^2 + 8x  - 1833 = 0          factor

(x - 39) (x + 47)  =  0

Setting the frist factor to 0 is the only one that makes sense   .....so......x - 39  = 0  →   x  = 39  = the number of rows

And the number of seats in each row  is 8 more than this  = 47

 √178 -√8 + √22  =

√ [ 89 *2]  - 2√2  +  √ [2 * 11]  =

√89 * √2  - 2√2  + √2 * √11  =

√2  [  √89  - 2  + √11 ] 

There is no "simplification"  of this, really

Ok , so for this it's best to treat the > as if it was an = ' 

so it will be -35+3x = 5(x-5) 

So first you will need to isolate the variable "X"  

-35+3x=5x-25

add the 25 to both sides 

so , -10+3x=5x 

subtract the 3x 

-10=2 x , then divide the 2x 

x=-5 

now since its negative the >switches to < 

x<-5

Let a be the number...and we have

(a + 2)^2  = 36      take both roots

a + 2  = ± √36

a + 2 =  ± 6

So either

a + 2  = 6   →   a  = 4      .....or.....

a + 2  = -6   →   a  = - 8        and that's our answer

the answer is 2.3333333333333

LOL 

You do not mike my answer.   That is amusing. (I am not upset, it really is amusing).

Your answer is the same as mine but I do not think much of your setting out :)

Do you understand now ?

n - 3

a^2 + b^2 = c^2