Answer:
x(1,2) = -5 ± √61) / (-2)
Step-by-step explanation:
The ABC formula of quadratic equation states
x(1,2) = (-b ± √b^2 - 4ac) / 2a
-x^2 + 5x + 9 = 0
a = -1
b = 5
c = 9
Thus x(1,2) = (-b ± √b^2 - 4ac) / 2a
= (-5 ± √(-5)^2 - 4*(-1)*9) / 2*(-1)
= (-5 ± √25+36) / (-2)
= (-5 ± √61) / (-2)
Answer:
17.11 meters
Step-by-step explanation:
You are using trigonometry in this problem.
The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.
The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.
Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.
Tan(angle) = opposite / adjacent
If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>
This means that <em>your answer = 19 * tan(42) = 17.11</em> meters
Answer:
Step-by-step explanation:
1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).
2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground
you may have to change the english a bit and english is not my first language
hope this will help
There are 60 minutes in a hour, 24 hours I'm a day, so 24 multiplied by 60 is 1,440, then multiplied by 365, the days in a year, getting 525,600 burgers in a year, divide 1 billion by that number, rounding that up gets 1,903 years
Ratio = pages:days
Proportion
48/3 = 192/?
Or vice versa