Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the 
we can deduce that 
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is 
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month.
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.
Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690
garbage weight next month = 586.5 pounds
Based on the above calculations, his target weight for the garbage next month is </span>586.5 pounds
This is a parabola which opens upwards and the directrix will be of the form
y = k
the general form is
4p(y - k) = (x - h)^2 we have:-
1/4(y + 3) = (x - 2)^2
so the vertex is at (2, -3)
4p = 1/4 so p = 1/16
so the focus will be at (2 , -2 15/16)
and directrix is y = -3 1/16
