Issolvi 100/sqrt{2}7*3/sqrt{2}cos(433)

$$\frac{ 100 }{ \sqrt{ 2 } } \frac{ 7 \cdot 3 }{ \sqrt{ 2 } } \cos ( 433 )$$

Evalwa

$$306.990289958873115$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{100}{\sqrt{2}} \frac{7 \cdot 3}{\sqrt{2}} 0.2923717047227363$$

Irrazzjonalizza d-denominatur tal-\frac{100}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$0.2923717047227363\times \frac{100\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{7\times 3}{\sqrt{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$0.2923717047227363\times \frac{100\sqrt{2}}{2}\times \frac{7\times 3}{\sqrt{2}}$$

Iddividi 100\sqrt{2} b'2 biex tikseb50\sqrt{2}.

$$0.2923717047227363\times 50\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Immultiplika 0.2923717047227363 u 50 biex tikseb 14.618585236136815.

$$14.618585236136815\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Immultiplika 7 u 3 biex tikseb 21.

$$14.618585236136815\sqrt{2}\times \frac{21}{\sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{21}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$14.618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$14.618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{2}$$

Esprimi \sqrt{2}\times \frac{21\sqrt{2}}{2} bħala frazzjoni waħda.

$$14.618585236136815\times \frac{\sqrt{2}\times 21\sqrt{2}}{2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$14.618585236136815\times \frac{2\times 21}{2}$$

Annulla 2 u 2.

$$14.618585236136815\times 21$$

Immultiplika 14.618585236136815 u 21 biex tikseb 306.990289958873115.

$$306.990289958873115$$

Fattur

$$\frac{3 \cdot 7 \cdot 373 \cdot 25679 \cdot 305244889}{2 ^ {15} \cdot 5 ^ {14}} = 306\frac{198057991774624}{200000000000000} = 306.9902899588731$$