Let, the present age of yours = x
present age of your brother = 4x
After 6 years, 2(x+6) = 4x+6
2x+12=4x+6
2x=6
x=3, 4x=12
So, your brother is 12 years of age now.
Answer:
false
Step-by-step explanation:
Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
In this question, we're trying to find the amount of people that did not vote and the percentage of people that didn't vote.
We know that 65% of people voted and percents are out of 100%.
We would subtract 65 form 100 to get out percentage that didn't vote.
35% of people didn't vote.
Now, we can solve the next question.
A total of 75,000 people voted. What we're going to have to do is find how much of 75,000 is 65%.
We would do this by multiplying 75,000 by 0.65
This means that 48,750 people voted.
<h3>
I hope this helped you out.</h3><h3>
Good luck on your academics.</h3><h3>
Have a fantastic day!</h3>
Answer: 25
Step-by-step explanation: (x-a)² = x² - 2ax + a²
From x² - 10x + k we deduce that 10x = 2·5x and a = 5
Then k = 5²2
