Issolvi 1/2*9.81t-20cos15^circ/20sin15^circ=tan15^circ

$$\frac { \frac { 1 } { 2 } \times 9.81 t - 20 \cos 15 ^ { \circ } } { 20 \sin 15 ^ { \circ } } = \tan 15 ^ { \circ }$$

Solvi għal t

$$t = \frac{517638090205041527491131299117399}{122625000000000000000000000000000} = 4\frac{2.713809020504151 \times 10^{31}}{1.2262499999999998 \times 10^{32}} \approx 4.221309604$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$\frac{\frac{1}{2} \cdot 9.81 t - 20 \cdot 0.9659258262890683}{20 \cdot 0.25881904510252074} = 0.2679491924311227$$

Ikkonverti n-numru deċimali 9.81 fi frazzjoni \frac{981}{100}.

$$\frac{\frac{1}{2}\times \frac{981}{100}t-20\times 0.9659258262890683}{20\times 0.25881904510252074}=0.2679491924311227$$

Immultiplika \frac{1}{2} b'\frac{981}{100} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{\frac{1\times 981}{2\times 100}t-20\times 0.9659258262890683}{20\times 0.25881904510252074}=0.2679491924311227$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 981}{2\times 100}.

$$\frac{\frac{981}{200}t-20\times 0.9659258262890683}{20\times 0.25881904510252074}=0.2679491924311227$$

Immultiplika 20 u 0.9659258262890683 biex tikseb 19.318516525781366.

$$\frac{\frac{981}{200}t-19.318516525781366}{20\times 0.25881904510252074}=0.2679491924311227$$

Immultiplika 20 u 0.25881904510252074 biex tikseb 5.1763809020504148.

$$\frac{\frac{981}{200}t-19.318516525781366}{5.1763809020504148}=0.2679491924311227$$

Iddividi kull terminu ta' \frac{981}{200}t-19.318516525781366 b'5.1763809020504148 biex tikseb\frac{\frac{981}{200}t}{5.1763809020504148}+\frac{-19.318516525781366}{5.1763809020504148}.

$$\frac{\frac{981}{200}t}{5.1763809020504148}+\frac{-19.318516525781366}{5.1763809020504148}=0.2679491924311227$$

Iddividi \frac{981}{200}t b'5.1763809020504148 biex tikseb\frac{1362500000000000}{1437883583902893}t.

$$\frac{1362500000000000}{1437883583902893}t+\frac{-19.318516525781366}{5.1763809020504148}=0.2679491924311227$$

Espandi \frac{-19.318516525781366}{5.1763809020504148} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000.

$$\frac{1362500000000000}{1437883583902893}t+\frac{-193185165257813660}{51763809020504148}=0.2679491924311227$$

Naqqas il-frazzjoni \frac{-193185165257813660}{51763809020504148} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$\frac{1362500000000000}{1437883583902893}t-\frac{48296291314453415}{12940952255126037}=0.2679491924311227$$

Żid \frac{48296291314453415}{12940952255126037} maż-żewġ naħat.

$$\frac{1362500000000000}{1437883583902893}t=0.2679491924311227+\frac{48296291314453415}{12940952255126037}$$

Ikkonverti n-numru deċimali 0.2679491924311227 fi frazzjoni \frac{2679491924311227}{10000000000}. Naqqas il-frazzjoni \frac{2679491924311227}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$\frac{1362500000000000}{1437883583902893}t=\frac{2679491924311227}{10000000000000000}+\frac{48296291314453415}{12940952255126037}$$

L-inqas multipli komuni ta' 10000000000000000 u 12940952255126037 huwa 129409522551260370000000000000000. Ikkonverti \frac{2679491924311227}{10000000000000000} u \frac{48296291314453415}{12940952255126037} fi frazzjonijiet bid-denominatur 129409522551260370000000000000000.

$$\frac{1362500000000000}{1437883583902893}t=\frac{34675177060507377491131299117399}{129409522551260370000000000000000}+\frac{482962913144534150000000000000000}{129409522551260370000000000000000}$$

Billi \frac{34675177060507377491131299117399}{129409522551260370000000000000000} u \frac{482962913144534150000000000000000}{129409522551260370000000000000000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{1362500000000000}{1437883583902893}t=\frac{34675177060507377491131299117399+482962913144534150000000000000000}{129409522551260370000000000000000}$$

Żid 34675177060507377491131299117399 u 482962913144534150000000000000000 biex tikseb 517638090205041527491131299117399.

$$\frac{1362500000000000}{1437883583902893}t=\frac{517638090205041527491131299117399}{129409522551260370000000000000000}$$

Immultiplika ż-żewġ naħat b'\frac{1437883583902893}{1362500000000000}, ir-reċiproku ta' \frac{1362500000000000}{1437883583902893}.

$$t=\frac{517638090205041527491131299117399}{129409522551260370000000000000000}\times \frac{1437883583902893}{1362500000000000}$$

Immultiplika \frac{517638090205041527491131299117399}{129409522551260370000000000000000} b'\frac{1437883583902893}{1362500000000000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$t=\frac{517638090205041527491131299117399\times 1437883583902893}{129409522551260370000000000000000\times 1362500000000000}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{517638090205041527491131299117399\times 1437883583902893}{129409522551260370000000000000000\times 1362500000000000}.

$$t=\frac{744303312308674124392241432979420423814622735307}{176320474476092254125000000000000000000000000000}$$

Naqqas il-frazzjoni \frac{744303312308674124392241432979420423814622735307}{176320474476092254125000000000000000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1437883583902893.

$$t=\frac{517638090205041527491131299117399}{122625000000000000000000000000000}$$