Answer:
=
Step-by-step explanation:
0.01 is = to 0.01
Answer:
Just add the first 2 masses together and subtract with the 3rd mass.
Answer:
El estudiante obtuvo una calificación de 3.5 en su última evaluación.
Step-by-step explanation:
Dado que un estudiante obtuvo calificaciones de 5,7, 6,2 y 4,6 obteniendo un promedio total de 5 en sus calificaciones, para determinar qué nota obtuvo en la ultima prueba para lograr ese promedio, se debe realizar el siguiente cálculo:
(5.7 + 6.2 + 4.6 + X) / 4 = 5
(16.5 + X) / 4 = 5
16.5 + X = 4 x 5
16.5 + X = 20
X = 20 - 16.5
X = 3.5
Answer: {11, -11}
Step-by-step-explanation: To solve for <em>x</em> in this equation, since <em>x</em> is squared, we simply take the square root of both sides of the equation to get <em>x</em> by itself.
It's important to remember however that when taking the square root of both sides of an equation, we always use <em><u>plus</u></em> or <em><u>minus</u></em>.
In other words in this problem, since x² = 121,
<em>x = + or - 11</em>.
A common mistake is to say that <em>x</em> is just equal to 11. But notice that if you plug a -11 back into the original equation, it also checks.
So our answer to this problem is {11, -11}.
Answer:
![- 30](https://tex.z-dn.net/?f=%20-%2030)
Step-by-step explanation:
![\sin {}^{ - 1} ( - \frac{1}{2} ) =](https://tex.z-dn.net/?f=%20%5Csin%20%7B%7D%5E%7B%20-%201%7D%20%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%20%20%3D%20)
Using the identity,
![\sin( - x) = - ( \sin(x) )](https://tex.z-dn.net/?f=%20%5Csin%28%20-%20x%29%20%20%3D%20%20-%20%28%20%5Csin%28x%29%20%29)
![\sin( \frac{1}{2} ) = \frac{\pi}{6}](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%20%20%3D%20%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20)
so
![\sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6}](https://tex.z-dn.net/?f=%20%5Csin%20%7B%7D%5E%7B%20-%201%7D%20%28%20%5Cfrac%7B%20-%201%7D%7B2%7D%20%29%20%20%3D%20%20-%20%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20)
Convert to degrees.
![- 30](https://tex.z-dn.net/?f=%20-%2030)