D) GH≈JK
Reason: Both arcs equal 80° and are vertical angles.
Answer:
a) D(t) = ![\[20*\sqrt{5} * t\]](https://tex.z-dn.net/?f=%5C%5B20%2A%5Csqrt%7B5%7D%20%2A%20t%5C%5D)
b) 178.885 miles
Step-by-step explanation:
Ship A travels north at the rate of 20 mph.
Ship B travels east at the rate of 40 mph.
After t hours, Ship A is at a distance of 20t miles from the origin.
Similarly, Ship B is at a distance of 40t miles from the origin.
(a) Distance D(t) = ![\[\sqrt{(20t)^{2}+(40t)^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B%2820t%29%5E%7B2%7D%2B%2840t%29%5E%7B2%7D%7D%5C%5D)
= ![\[\sqrt{400*t^{2}+1600 * (t)^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B400%2At%5E%7B2%7D%2B1600%20%2A%20%28t%29%5E%7B2%7D%7D%5C%5D)
= ![\[\sqrt{2000*t^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B2000%2At%5E%7B2%7D%7D%5C%5D)
= ![\[20*\sqrt{5} * t\]](https://tex.z-dn.net/?f=%5C%5B20%2A%5Csqrt%7B5%7D%20%2A%20t%5C%5D)
(b) Distance between the two ships when t = 4,
= ![\[20*\sqrt{5} * 4\]](https://tex.z-dn.net/?f=%5C%5B20%2A%5Csqrt%7B5%7D%20%2A%204%5C%5D)
=
miles
= 80 * 2.236
= 178.885 miles
Answer:
$.05 per message
Step-by-step explanation:
450m + 12.5 = 35
450m = 35-12.5
450m = 22.5 divide both sides by 450
m=22.5/450
m=.05
Here are two of them 3/4 and 6/8.