Question

quien me ayuda a resolver estos puntos de matemáticas doy 5 estrellas

Answer 1

Respuesta:

CALCULAR EL VALOR A Y B EN EL TRIANGULO RECTÁNGULO

$sen 40 = \frac{a }{12 cm } \\\\a = (12cm ) ( sen 40) \\\\a = 7.7135 cm$

TEOREMA DE PITAGORA

$H^{2} = a^{2} + b^{2}\\\\H^{2} - a^{2} = b^{2}\\\\(12cm)^{2} - ( 7. 7135 cm) ^{2} = b^{2}\\\\144cm^{2} - 59.50 cm = b^{2}\\\\84.5 = b^{2} \\\\\sqrt{84.5} = \sqrt{b^{2}} \\\\9.1924 = b$

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la 7

TEOREMA DE PITAGORAS

$H^{2} = a^{2} + b^{2}\\\\H^{2} - B^{2} = a^{2}\\\\(100cm)^{2} - ( 90cm) ^{2} = a^{2}\\\\10000cm^{2} - 8100cm = a^{2}\\\\1900 = a^{2} \\\\\sqrt{1900} = \sqrt{a^{2}} \\\\43.589 = a$

hallar el angulo  Ф

$cos \alpha = \frac{90}{100} \\ \\cos \alpha = 0.9 \\\\\alpha = cos^{-1} 0.9\\\\\alpha = 25.84$