So.. checking the picture below
we can say y = y, or just do a substitution and end up with
![\bf tan(72^o)=tan(30^o)(30+x)\implies 3.08x=\cfrac{30}{\sqrt{3}}+\cfrac{1}{\sqrt{3}}x \\\\\\ 3.08x-\cfrac{1}{\sqrt{3}}x=\cfrac{30}{\sqrt{3}}\implies 2.5x\approx 17.32\implies x\approx \cfrac{17.32}{2.5}](https://tex.z-dn.net/?f=%5Cbf%20tan%2872%5Eo%29%3Dtan%2830%5Eo%29%2830%2Bx%29%5Cimplies%203.08x%3D%5Ccfrac%7B30%7D%7B%5Csqrt%7B3%7D%7D%2B%5Ccfrac%7B1%7D%7B%5Csqrt%7B3%7D%7Dx%0A%5C%5C%5C%5C%5C%5C%0A3.08x-%5Ccfrac%7B1%7D%7B%5Csqrt%7B3%7D%7Dx%3D%5Ccfrac%7B30%7D%7B%5Csqrt%7B3%7D%7D%5Cimplies%202.5x%5Capprox%2017.32%5Cimplies%20x%5Capprox%20%5Ccfrac%7B17.32%7D%7B2.5%7D)
once you know, how long is "x", then you can simply use the cosine of 72° to get "r"
thus
PEMDSA
(9 X 2) =18
(3 X 4) = 12
30-18-12 = 0
I believe that the correct answer is A
Answer:
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Step-by-step explanation:
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√2 ≈ 1.414 and √3 ≈ 1.732
√75 = √(25x 3) = 5√3 OR 5x1.414 = 7.07
√48 = √(16x 3) = 4√3 OR 4x1.732 = 6.92
So √75 - √48 = 7.07 - 6.92 ≈ 0.15