If
is the variable of the horizontal axis, then you can solve for
to get the equation of the line in slope-intercept form in the
plane:
i.e. a line with slope
through the origin, which means it is contained in the first and third quadrants. Since the terminal side of
has a negative sine, the angle must lie in the third quadrant.
Because the slope of the line is
, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle
. Any such right triangle will have
, regardless of whether the angle is the first or third quadrant. But since
is known to lie in the third quadrant, and so
and
are both negative, you have
Answer:
Explanation:
Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.
Estas son las posibilidades dadas por la combinación moneda/dado
Número de combinaciones
Moneda: prenda
Cara: vestido 1 de 2: 1/2
Sello: falda 1 de 2: 1/2
Dado: color
Par: negro 3 de 6: 3/6
Impar: café 3 de 6: 3/6
En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)
¿Cuántas combinaciones tienen vestido y color negro?
Es decir: moneda = cara y dado = par
Por tanto, la probabilidad de vestido negro es:
- 3 de 12 = 3/12 = 1/4 ← respuesta
Hay otras formas de resolverlo. Por ejemplo;
Como los resultados de lanzar la moneda y el dado son independientes:
- P(Vestido∩negro) = P(Vestido) × P(Negro)
- P(Vestido) = 1/2
- P(Negro) = 3/6 = 1/2
- P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
Answer:
The false choices are A, C, and E
Step-by-step explanation:
Let's make an example:
p=1
q=2
s=sqrt(3)
t=sqrt(6)
Since pq=1*2=2, the answer is rational and A is false.
Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.
Since p/q=1/2=0.5, the answer is rational and C is false.
Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.
Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.
Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
