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Preeti Dabral 1 year, 8 months ago
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse whereas the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse. Sin θ = Opposite side/Hypotenuse. Cos θ = Adjacent side/ Hypotenuse.
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Siddarth Siddarth 1 year, 8 months ago
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Manaswi Patil 1 year, 8 months ago
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Preeti Dabral 1 year, 9 months ago
Here, present value = ₹112000
rate of depreciation = 15% per annum and n = 3 yr.
{tex}\therefore{/tex} Value after 3 yr = 112000{tex}\left(1-\frac{15}{100}\right)^{3}{/tex}
= {tex}\left[112000 \times\left(\frac{85}{100}\right)^{3}\right]{/tex}
= {tex}\left(112000 \times \frac{17}{20} \times \frac{17}{20} \times \frac{17}{20}\right){/tex}
= (14 {tex}\times{/tex} 17 {tex}\times{/tex} 17 {tex}\times{/tex} 17) = ₹68782
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Preeti Dabral 1 year, 8 months ago
Since, the sum of lengths of any two sides in a triangle should be greater than the length of third side
Therefore,
In Δ AOB, AB < OA + OB ……….(i)
In Δ BOC, BC < OB + OC ……….(ii)
In Δ COD, CD < OC + OD ……….(iii)
In Δ AOD, DA < OD + OA ……….(iv)
⇒ AB + BC + CD + DA < 2OA + 2OB + 2OC + 2OD
⇒ AB + BC + CD + DA < 2[(AO + OC) + (DO + OB)]
⇒ AB + BC + CD + DA < 2(AC + BD)
Hence, it is proved.
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Ragi Nirvigna 1 year, 8 months ago
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