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olganol [36]
3 years ago
7

An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude. A. 894 miles B. 1,058 miles C. 646 miles D. 1,251 miles
Mathematics
2 answers:
NeX [460]3 years ago
7 0

Answer:

1058

Step-by-step explanation:

Plato

nekit [7.7K]3 years ago
6 0

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

Use Law of cosines  

d = √(800^2 + 1200^2 - 2·800·1200·COS(60°)) = 1058 miles

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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

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From the information given we know:

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So, to find the quantity of silicone-32 remaining we apply the above equation

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