Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
37 and 1/2 could mean:
37+ (1/2)
37 times 1/2
37+1/2=37 and 1/2 or 37.5
37 times 1/2=37/2=18 and 1/2=18.5
Answer:
2s+2p = 42,
3s+p = 37,
2 shirts at 8 = 16,
2 pants at 13 = 26.
Hope this helps.
Step-by-step explanation:
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
Answer:
$6390 se destinaron a los fondos de reserva, $7668 se destinaron a los fondos de provisión y $8520 se destinaron a los fondos de operaciones.
Step-by-step explanation:
Dado que una cooperativa de agricultores obtuvo en el año 2020 una utilidad de $42,600, de cuya suma destino el 15% para fondos de reserva, 18% para fondos de provisión y el 20% para fondos de operaciones, para calcular cada una de la sumas se debe realizar el siguiente cálculo:
100 = 42,600
15 = X
42600 x 15 / 100 = 6390
100 = 42,600
18 = X
42600 x 18 / 100 = 7668
100 = 42,600
20 = X
42600 x 20 / 100 = 8520
Por lo tanto, $6390 se destinaron a los fondos de reserva, $7668 se destinaron a los fondos de provisión y $8520 se destinaron a los fondos de operaciones.
