JOURNEY CONSISTS OF TWO DISPLACEMENTSTHE FIRST IS 500m IN A NORTHERNLY DIRECTION AND THE SECOND IS 200m IN AN EASTRENLY DIRECTIO
N.DRAW TO SCALE A VECTOR DIAGRAM OF THESE DISPLACEMENTS
1 answer:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The scale of the drawing is 50 m per grid square.
The magnitude of the resultant can be found using the Pythagorean theorem:
r = √(n² +e²)
r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters
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The direction angle can be found using the arctangent function.
The angle east of north is ...
arctan(200/500) ≈ 21.8014°
The resultant is 538.52 meters in the direction 21.8° east of north.
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Answer:
The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
Step-by-step explanation:
The data provided is:
Opinion
Front Footage For Undecided Against Total
Under 45 feet 12 4 4 20
45-120 feet 35 5 30 70
Over 120 feet 3 2 5 10
Total 50 11 39 100
The formula to compute the expected frequency is:
Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:
Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.
The given three numbers are 5,8,24.
We have to use four operations (Adding, Subtracting,multiplication, division, square, square root, cube, cube root) out of these operation to make the result an irrational number.
There are many more examples that you can write.
Keep in mind
1. Sum of Rational and irrational is always irrational.
2. Difference of rational and irrational is always irrational.
As none of the 5,8,24 is a perfect square , nor addition of any two results in a perfect square, so square root of their addition or subtraction or multiplication results in an irrational number.
Similarly ,apart from 8, none of 5,24 is a perfect cube.So if you add or subtract any number from 8 and take their cube root or square root ,results in an irrational number.