Question

Alguem me ajuda nesses exercícios fazendo favor……

Answer 1

a)

$x^{2} =3^{2} +4^{2} \\x^{2} =9+16\\x^{2} =25\\x=\sqrt{25}\\x=5$

b)

$x^{2} =9^{2} +12^{2}\\x^{2} =81+144\\x^{2} = 225\\x=\sqrt{225}\\x=15$

c)

$20^{2}=x^{2} +16^{2}\\400=x^{2} +256\\400-256=x^{2} \\ 144=x^{2} \\x=\sqrt{144}\\x=12$

d)

$25^{2}=15^{2}+x^{2} \\625=225+x^{2} \\625-225=x^{2} \\400=x^{2} \\x=\sqrt{400}\\x=20$

questão 2)

a)

$sen 30=\frac{x}{10}\\\frac{1}{2}=\frac{x}{10}\\ 2.x=1.10\\2x=10\\x=\frac{10}{2} \\x=5$

b)

$cos 30=\frac{x}{20} \\\frac{\sqrt{3} }{2} =\frac{x}{20}\\2.x=20.\sqrt{3}\\x=\frac{20\sqrt{3} }{2}\\x=10\sqrt{3}$