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((60)^2*sin(30))/(9.8)

Solución

\frac{( 60 ) ^{2} \cdot sin ( 3 0 ^{\circ} )}{9.8}

\frac{9000}{49}

Notación decimal

183.67346 \dots

Pasos de solución

\frac{( 60 ) ^{2} sin ( 3 0 ^{\circ} )}{9.8}

= \frac{6 0 ^{2} sin ( 3 0 ^{\circ} )}{\frac{49}{5}}

Utilizar la siguiente identidad trivial:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

tabla de valores periódicos con

36 0^{\circ} n

intervalos:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= \frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}}

Simplificar

\frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}} : \frac{9000}{49}

\frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}}

Aplicar las propiedades de las fracciones:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{6 0 ^{2} \cdot \frac{1}{2} \cdot 5}{49}

6 0^{2} \cdot \frac{1}{2} \cdot 5 = 18000 \cdot \frac{1}{2}

6 0^{2} \cdot \frac{1}{2} \cdot 5

6 0^{2} = 3600

= 3600 \cdot 5 \cdot \frac{1}{2}

Multiplicar los numeros:

3600 \cdot 5 = 18000

= 18000 \cdot \frac{1}{2}

= \frac{18000 \cdot \frac{1}{2}}{49}

Multiplicar

18000 \cdot \frac{1}{2} : 9000

18000 \cdot \frac{1}{2}

Multiplicar fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 18000}{2}

Multiplicar los numeros:

1 \cdot 18000 = 18000

= \frac{18000}{2}

Dividir:

\frac{18000}{2} = 9000

= 9000

= \frac{9000}{49}

= \frac{9000}{49}

10 cos (1 5^{\circ})

2 sin (\frac{π}{3}) sin (\frac{π}{4})

arcsin (\frac{24}{29})

- 2 cos (\frac{2 π}{3}) csc (\frac{( \frac{π}{3} )}{2})

\frac{1}{2} (7) (10) (cos (\frac{π}{4})) (- \frac{π}{45})