Answer:
I don't know if the math is right but I think the answer is<u> 0</u>
If the current son's age is x, the current age of the father is 
.
In 20 years they will be, respectively, 
and 
years old, and we know that the father will be 3 times as old as his son:
The quadratic equation has solutions
So, the two solutions are
We clearly can't accept negative values as solution for a problem involving the age of a person, so the only feasible solution is x=8, and we deduce that the father's age is 8 squared, i.e. 64.
Answer:
C. 50cm
Step-by-step explanation:
40 * 10 = 400miles
5 * 10 = 50cm
The plc as value of 6 in12.6 is the tenths place
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
