Answer:
√3 - 2.
Step-by-step explanation:
Let A = 330 degrees so A/2 = 165 degrees.
tan A/2 = (1 - cos A) / sin A
tan 165 = (1 - cos 330) / sin 330
= (1 - √3/2) / (-1/2)
= -2(1 - √3/2)
= -2 + 2 * √3/2
= √3 - 2.
9514 1404 393
Answer:
30x +25y = 148
Step-by-step explanation:
We can use substitution to find the point of intersection of ...
Using the second equation, we can write an expression for y:
y = 6 -x
Substituting that into the first equation gives ...
3x +14 = 2(6 -x)
3x +14 = 12 -2x . . . . . eliminate parentheses
5x = -2 . . . . . . . . . . . add 2x-14
x = -0.4 . . . . . . . . . divide by 5
y = 6 -(-0.4) = 6.4
__
Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1
The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.
6x = -5y + c
6(-0.4) +5(6.4) = c = 29.6
The perpendicular line can be written ...
6x = -5y +29.6
In standard form, the equation is ...
30x +25y = 148
Answer:
Step-by-step explanation:
To rationalize the expression:
In order to rationalize any Surdic expression, what is needed is <u>to multiply both the numerator and the denominator</u> of the rational function by the <u>conjugate of the denominator.</u>
In the example above:
The denominator is:
Its conjugate therefore is:
Therefore, we multiply the fraction by the expression: