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irga5000 [103]
2 years ago
8

Complete the following operations listed below. Simplify fully.

Mathematics
1 answer:
Ugo [173]2 years ago
5 0
5= 3/3 or 1
6= 20/9 or 2 and 1/9
7= 4/1 or 4
8= 30/35 or 6/7

9= 25/48
10= 127/70 or 1 57/70
11= -45/8
12 = answer cut off, don't know dividends
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Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli
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Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

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3 years ago
How do you type the infinity sign on a graphing calculator ?
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5 0
3 years ago
What is tan 11 pie/6
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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.
irakobra [83]
The angular velocity is the linear speed divided by the radius.
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There are 180/π degrees per radian, so the angular velocity can also be written as ...
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5 0
3 years ago
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