Question

Quanto é o triplo de 23° 15' 9"?

(a) 56° 40' 12"
(b) 69° 45' 27"
(c) 62° 55' 37"
(d) 66° 22' 32"
(e) 45° 31' 18" ​

Answer 1

Resposta:

c

Explicação passo a passo:

Answer 2

Explicação passo-a-passo:

Lembrando que:

\begin{gathered}\left\{\begin{matrix}1^\circ&=&60'\\ 1'&=&60''\end{matrix}\right. \end{gathered}{1∘1′==60′60′′

Temos:

\begin{gathered}(23^\circ19'15'')\times3~=\\\\\\=~(23^\circ~+~19'~+~15'')\times 3\\\\\\=~3\times23^\circ~+~3\times 19'~+~3\times 15''\\\\\\=~69^\circ~+~57'~+~45''\\\\\\=~\boxed{69^\circ57'45''}\end{gathered}(23∘19′15′′)×3 == (23∘ + 19′ + 15′′)×3= 3×23∘ + 3×19′ + 3×15′′= 69∘ + 57′ + 45′′= 69∘57′45′′