Answer:
The speed of balloon is 0.16 m/s.
Step-by-step explanation:
BC = 300 m
AD = x
AB = y
time, t = 3 min = 3 x 60 = 180 s
By the triangle, ADC,
![tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m](https://tex.z-dn.net/?f=tan%2015%20%3D%20%5Cfrac%7BAD%7D%7BBC%7D%5C%5C%5C%5C0.27%20%5Ctimes%20300%20%3D%20x%20%5C%5C%5C%5Cx%20%3D%2080.4%20m)
By the triangle, BDC
![tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m](https://tex.z-dn.net/?f=tan%2020%20%3D%20%5Cfrac%7BBD%7D%7BBC%7D%5C%5C%5C%5C0.36%20%5Ctimes%20300%20%3D%20x%20%2B%20y%20%5C%5C%5C%5Cx%20%2B%20y%20%3D%20109.2%20m)
So, y = 109.2 - 80.4 = 28.8 m
Speed of balloon = 28.8/180 = 0.16 m/s
Answer: y = -6x + 4.5
Step-by-step explanation:
to put it into slope intercept form use the standard form y=mx+b
where m is the slope and b is the y intercept
First, we have to find the slope
the slope is found using (y1-y2)/(x1-x2)
so you have 10.5-4.5 over -1-0 or 6 over -1
So the slope is -6
Second, we have to use a given Y value for the intercept
y = -6x + 4.5
Answer: This is what i can do . i hope it helps:)
The angle between the longitude of the Galapagos Islands and that of Nauru is 90.30°+166.56°=256.86°.
We find the sum since these places have different longitude directions, but this is the major arc, and the minor arc will be 360°−256.86°=103.14°.
Angle between Galapagos Islands and 180°E/W = 180° - 90.30° = 89.70°
Angel between Nauru island and 180°E/W = 180° - 166.56° = 13.44°
Total angle between Galapagos Islands and Nauru = 89.70 ° + 13.44° = 103.14°.
Step-by-step explanation:
![let \:\alpha \:be\:our\:teetah \\l = \frac{r \pi}{180 \°} \times \alpha \\\\= \frac{6400\pi}{180 \°} \times 103.14\\\\= 11520.848\\\\= 11521 km](https://tex.z-dn.net/?f=let%20%5C%3A%5Calpha%20%5C%3Abe%5C%3Aour%5C%3Ateetah%20%20%5C%5Cl%20%3D%20%5Cfrac%7Br%20%5Cpi%7D%7B180%20%20%5C%C2%B0%7D%20%5Ctimes%20%5Calpha%20%5C%5C%5C%5C%3D%20%5Cfrac%7B6400%5Cpi%7D%7B180%20%5C%C2%B0%7D%20%5Ctimes%20103.14%5C%5C%5C%5C%3D%2011520.848%5C%5C%5C%5C%3D%2011521%20km)
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