Yep, Alan....it's just that ....if I had seen that up front.....I could have had 15 more minutes in my life devoted to some other pursuit.....LOL!!!!
Thanks for that proof, Alan.....
Yep, Anonymous.....I'm afraid you are correct....I had forgotten about that small detail!!!
[2.75 x 108] / [2.5 x 109 ] = [2.75 / 2.5] x 10-1 = (11/10) x (1/10) = 11/100 = 11%
-18/2-3x/2=-21/2 mutiply through by 2 to clear the fractions....
-18 - 3x = -21 add 18 to both sides
-3x = -3 divide by -3 on both sides
x = 1
The remaining side = 13cm
And the smallest angle will be opposite this side....so ....using the Law of Cosines and the cosine inverse, we have
cos-1 ((13^2 - 24^2 -23^2) / ((-2)(24)(23) ) = Θ = about 32.0°
That's exactly the way I would have "proved" it too, MathsGod1 .....!!!!!
Very nice work !!!!!
The median is 551 .....The mode is 542 .....so....
551 + 542 = 1093
Yep......just don't make 'em too hard.......we don't like to be embarrassed.....!!!!
Let C be the original cost......and we know that....
1C + (3/4)C = 42 simplify
C(7/4) = 42 multiply both sides by (4/7)
C = 42(4/7) = (42/7)(4) = (6)(4) = $24 and this was the cost