ahmedeldyame
09.04.2021 •
Mathematics
a) 3∕5= 60∕100= 40% (resolvido) b) 11∕4= c) 4∕20= d) 9∕5= e) 10∕200= 5∕100= 5% (resolvido) f) 8∕200= g) 30∕300=
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Ответ:
En cada expresión queremos obtener 100 en el denominador.
Notar que en la primer eq. tendríamos:
a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6 (corresponde a 60%)
b) 11/4 = ?
Acá el denominador es 4
tenemos que encontrar un número k tal que:
k*4 = 100
k = 100/4 = 25
Entonces podemos multiplicar denominador y numerador por 25.
11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)
c) 4/20
el denominador es 20, entonces tenemos que resolver:
20*k = 100
k = 100/20 = 5
multiplicamos denominador y numerador por 5:
(5/5)*(4/20) = (5*4)/(5*20) = 20/100 = 0.2 (corresponde al 20%)
d) 9/5
el denominador es 5, entonces debemos resolver:
5*k = 100
k = 100/5 = 20
Debemos multiplicar denominador y numerador por 20
(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8 (corresponde a 180%)
e) 10/200 = 5/100 = 0.05 (corresponde al 5%)
f) 8/200
Se resuelve de similar forma al de arriba (que ya tenias resuelto).
Aca el denominador eso 200, entonces tenemos que tener:
200*k = 100
k = 100/200 = 1/2
Entonces multiplicamos numerador y denominador por 1/2
(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)
g) 30/300
aca el denominador es 300
Entonces:
300*k = 100
k = 100/300 = 1/3
Multiplicamos numerador y denominador por 1/3
(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1 (corresponde al 10%)
Ответ:
We have been given the angle (40°), the hypotenuse (100 ft), and we are being asked for the height (h) above the ground. Using the triangle formed, the appropriate trig ratio is sine because sin(θ) = opposite/hypotenuse where θ = 40°, the hypotenuse = 100, and the opposite = h. So:
sin(40°) = h/100
Multiplying both sides by 100 gives:
h = 100•sin(40°)
h = 100•(0.6427876)
h = 64 feet