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4.1 Übungen

Aus Online Mathematik Brückenkurs 1

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Übung 4.1:1

Write in degrees and radians

a) 41 revolution b) 83 revolution
c) −32 revolution d) 1297 revolution

Answer | Solution

Exrecise 4.1:2

Transform to radians

a) 45 b) 135 c) −63 d) 270

Answer | Solution

Übung 4.1:3

Determine the length of the side marked x.

a)

[Image]

b)

[Image]

c)

[Image]

Answer | Solution a | Solution b | Solution c

Übung 4.1:4

a) Determine the distance between the points (1,1) and (5,4).
b) Determine the distance between the points(-2,5) and (3,-1).
c) Find the point on the x-axis which lies as far from the point (3,3) as from (5,1).

Answer | Solution a | Solution b | Solution c

Übung 4.1:5

a) Determine the equation of a circle having its centre at (1,2) and radius 2.
b) Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1).

Answer | Solution a | Solution b

Übung 4.1:6

Sketch the following circles

a) x2+y2=9 b) (x−1)2+(y−2)2=3
c) (3x−1)2+(3y+7)2=10

Answer | Solution a | Solution b | Solution c

Übung 4.1:7

Sketch the following circles

a) x2+2x+y2−2y=1 b) x2+y2+4y=0
c) x2−2x+y2+6y=−3 d) x2−2x+y2+2y=−2

Answer | Solution a | Solution b | Solution c | Solution d

Übung 4.1:8

How many revolutions does a wheel of radius 50 cm make when it rolls 10m?

Answer | Solution

Übung 4.1:9

On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds?

Answer | Solution


Übung 4.1:10

A washing line of length 5.4 m hangs between two vertical trees that are at a distance of 4.8 m from each other. One end of the line is fixed 0.6 m higher than the other, and a jacket hangs from a hanger 1.2 m from the tree where the line has its lower point of attachment. Determine how far below the lower attachement point the hanger is hanging. (That is, the distance x in the figure).


[Image]

Answer | Solution

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/4.1_%C3%9Cbungen“