Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
ANSWER

EXPLANATION
Since the parabola has the (0, 0) and the directrix at y=2.
The equation is of the form

where (h,k) is the vertex.
The vertex is half way between the directrix and the focus.
The vertex will be at (0,1)
and is the distance from the vertex to the focus which is 1.


For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

Now that we have the value of x, plug it into either equation to solve for y:

<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
Answer:
Part a) The raisins cost $0.8 per ounce
Part b) 1.25 ounces
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jackson bought 5 ounces of raisins for $4 dollars.
a) How much do raisins cost per ounce?
b) How many ounces of raisins can be bought for $1?
Part a) How much do raisins cost per ounce?
we know that
To find out the unit rate divide the total cost by the total weight
so

therefore
The raisins cost $0.8 per ounce
Part b) How many ounces of raisins can be bought for $1?
we know that
The raisins cost $0.8 per ounce
using proportion
Find out how many ounces of raisins can be bought for $1
Let
x -----> the ounces of raisins
