Answer:

Step-by-step explanation:

<h3>i) simplify the complex fraction</h3>

<h3>ii) simplify the equation using cross multiplication</h3>


<h3>iii) swap the sides of the equation</h3>

<h3>iv) divide both sides of the equation by -6</h3>


<h3>v) simplify the fraction</h3>

The answer is 108cm^2 because it gives you the entire height of the shape minus the height of the rectangle the divide it by two to find the height of the triangles the find the area of all the different shapes then add it together
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
For # 9, the answer is 4 pants and 11 shirts, see in the comments for my explanation
Answer:
La Provincia del Guayas comprime el 25.1% de la población de Ecuador. A su vez, la Ciudad de Guayaquil tiene una población igual al 15.58% de la población ecuatoriana.
Step-by-step explanation:
Dado que vivo en la Provincia del Guayas, y en la ciudad de Guayaquil, los datos de población solicitados son los siguientes:
-Provincia del Guayas: 4.387.434 habitantes, es decir, un 25.1% del total de la población de Ecuador, que es de 17.475.570 habitantes, conforme surge del siguiente calculo:
17.475.570 = 100
4.387.434 = X
4.387.434 x 100 / 17.475.570 = X
438.743.400 / 17.475.570 = X
25,10 = X
-Ciudad de Guayaquil: 2.723.665 habitantes, es decir, un 15.58% del total de la población de Ecuador, conforme surge del siguiente cálculo:
17.475.570 = 100
2.723.665 = X
2.723.665 x 100 / 17.475.570 = X
272.366.500 / 17.475.570 = X
15.58 = X