The ratio of girls to boys would be 16:12 because if you divide 28 by 2 you get 14. subtract 2 to on one of them and add the two to the other. You get 12 and 16. There is a difference of 4 to them and when you add them together you get 28. :)
Answer:
Length of the trail = 39473.68 ft
Step-by-step explanation:
Let x be the length of the trail.
Given:
Lodge Elevation = 700 ft
Mountain elevation = 8200 ft
Inclination of trail = 11°
We need to find the length of the trail.
Solution:
Total ascent is difference between mountain elevation and lodge elevation.
![Total\ ascent = Mountain\ elevation-lodge\ elevation](https://tex.z-dn.net/?f=Total%5C%20ascent%20%3D%20Mountain%5C%20elevation-lodge%5C%20elevation)
![Total\ ascent = 8200-700](https://tex.z-dn.net/?f=Total%5C%20ascent%20%3D%208200-700)
![Total\ ascent = 7500\ ft](https://tex.z-dn.net/?f=Total%5C%20ascent%20%3D%207500%5C%20ft)
Length of the trail is the length of the hypotenuse of right angle triangle where the length of the shortest side is the right angle triangle is 7500 ft and opposite angle is 11°.
Using cosine rule.
![sin(a) = \frac{Shortest\ side}{hypotenuse}](https://tex.z-dn.net/?f=sin%28a%29%20%3D%20%5Cfrac%7BShortest%5C%20side%7D%7Bhypotenuse%7D)
![sin(11) = \frac{7500}{x}](https://tex.z-dn.net/?f=sin%2811%29%20%3D%20%5Cfrac%7B7500%7D%7Bx%7D)
![x = \frac{7500}{sin(11)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B7500%7D%7Bsin%2811%29%7D)
![x = \frac{7500}{0.19}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B7500%7D%7B0.19%7D)
![x = 39473.68\ ft](https://tex.z-dn.net/?f=x%20%3D%2039473.68%5C%20ft)
Therefore, the length of the trail is equal to 39473.68 ft.
Answer:
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
Step-by-step explanation:
the actual answer is D. Quadrants 2, 3, and 4 because in these quadrants x, y, or both are negative coordinates.
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below