DangeRz

07.12.2020 • 

Mathematics

Suppose three LORAN transmitting stations are located at (0, 400), (0, −400), and (350, 400), where all units are in miles. Name these stations T1, T2, and T3, respectively. By measuring the time it takes for the signal to travel from the transmitting station to the receiver on a cruise ship and back, the LORAN system determines that the distance from the ship to T1 is 229 miles. Similarly, it determines that the distance from the ship to T2 is 571 miles and the distance from the ship to T3 is 429 miles. Use the transmitting stations as the foci of two different hyperbolas, determine the location of the ship in the coordinate plane. (Round your answer to the nearest mile.)

Ответ:

lovelife132015

05.01.2022

Mathematics

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measure of arc ABC = 283°

Step-by-step explanation:

First we have to find y

7y - 7 + 4y + 6 +20y - 11 = 360

31y - 12 = 360

31y = 372

y = 12

Since all the angles are central angles and intercepted arcs of those angles have the same measure,

the measure of arc ABC  = 4y + 6 + 20y - 11

                                         = 24y - 5

                                         = 24(12) - 5

                                         = 283

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