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3 years ago

U= {1,2,3... 8,9}, B={2,4,6,8}, C ={3,4,5,6}. Find B\C

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

2,3,5,8

Step-by-step explanation:

B/C . . . thus

(2,4,6,8)/(3,4,5,6)

4 and 6 cancel out

so you are left with (2,3,5,8)

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Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power time

defon

First you need to write the numerical equation for the given:

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3 years ago

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3 years ago

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Answer:

AC = 16

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Source(s):

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A plane flies due East from A(lat.53°N, long. 25°E) to a point B(lat. 53.°N, Ilong. 85°E) at an average speed of 400 km/h. The p

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Answer:

(a) 4035 km

(b) 10 h

Step-by-step explanation:

For the purpose here, we assume the Earth is a sphere, the radius to the path of the airplane is 6400 km, and pi = 22/7. We further assume that each path is part of a circle of appropriate radius.

<h3>(a) Distance A-B</h3>

The distance from A to B will be the length of the latitude line between 25°E and 85°E, a change in longitude of 60°. The radius of the circular path along latitude line 53° is ...

(6400 km)×cos(53°) ≈ 3851.616 km

The length of the path from A to B is given by ...

s = rθ . . . . where θ is in radians

s = (3851.616 km)(π/3) = (3851.616 km)(22/(7·3)) ≈ 4035 km

The distance from A to B is about 4035 km.

The time is the ratio of distance to speed:

t = d/r = (4035 km)/(400 km/h) = 10 h

The time taken to reach point B is 10 hours.

<h3>(c) Latitude of point C</h3>

Using the above relation for arc length, we can find the angle associated with an arc length of 2000 km.

θ = s/r = (2000 km)/(6400 km) = 5/16 . . . . radians

The conversion to angle is ...

degrees = radians × 180/π

degrees = (5/16)(180/(22/7)) = 5·180·7/(16·22) = 17 79/88 ≈ 18

Point C is 18° closer to the equator than latitude 53°, at latitude 35°.

The latitude of C is 35°.

<em>Additional comment</em>

Using a different approximation for pi will change the AB distance by a few km.

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2 years ago

U= {1,2,3... 8,9}, B={2,4,6,8}, C ={3,4,5,6}. Find B\C​

U= {1,2,3... 8,9}, B={2,4,6,8}, C ={3,4,5,6}. Find B\C