This is a 30-60-90 triangle, in which the side opposite of the 90 degrees is the longest side (2), the side opposite of the 60 degrees is the √3 (2√3 in this case), and the last side (opposite of the 30 degrees) is the (1)
2√3/√3 = 2
So the side opposite of the 30° = 2
a) the width is 2 miles
The length of the side walk is 2(a)
a = 2
2(2) = 4
b) The length of the sidewalk is 4 miles
hope this helps
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The best and most correct answer among the choices provided by the question is </span> <span>an = −4(−5)n − 1 where n ≥ 1 .
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Hope my answer would be a great help for you. </span>
Answer:
B, A, C
Step-by-step explanation:
That's a 30-60-90 triangle.
3w-7w-12=2w-6
-4w-12=2w-6
-12=6w-6
-6=6w
w=-1
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5
Now, 4a = 1; a =

So, the vertex form is (x + 2)² = 4(

)(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.
∴ F(-2, -5 +

)
F(-2,

)