CPhill

We can use the sine function...so we have

sin(75.5) = opp / 10      rearrange this

opp = height of vertical leg = (10)*sin(75.5)  ...   and you can evaluate this one .......!!!

Because they are the same as the "counting" numbers, and it is "natural" to use positive integers to count with....

Only if I get the credit card(s), first....

We can find the answer by employing the"shell" method.....

3 x .85 = about 2.55 eggs

Well....I can't speak for the other SOBs on the site....but...if you don't mind spelling my name correctly on that check you're mailing to me.....I'd be happy....

[P.S.  ....I also accept credit cards..so...if you could send  yours to me....that'd be great, too ....]

OK...there are many possibilities....here's one....

(11x + 7)^2= 105     let's use the square root property on this one...taking both roots on the right ....we have

11x + 7 = ±√105     subtract 7 from both sides

11x =  [±√105 - 7 ]    divide both sides by 11

x = [±√105 - 7 ] / 11

BTW...this is the same answer as we would have found by expanding the original left hand side, rearranging, and then using the Quadratic Formula.....

Let's make this easy on ourselves....basically, we need to solve this

(4 - x) ^2 + (3 - 1)^2  = 52     simplify

(4 - x)^2  + (2) ^2  = 52

(4 - x)^2  + 4  = 52     subtract 4 from both sisdes

(4 - x)^2  = 48           

(x -  4) ^2   = 48     take both roots

x - 4  = ±√48          add 4 to both sides

x = ±√48 + 4  =  ±4√ 3 + 4  = 4( 1±√ 3)

So...two "x's" make this true...

Shame on you, Melody...!!!!! 

You are NOT ALLOWED to make mistakes on here..... (LOL !!!)