identify the distance between the points (2,4,12) and (7,4,0), and identify the midpoint of the segment for which these are the
1 answer:
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Missing number fom the series : 9, ..... , 6561, 43046721
43046721 is square of its previous number 6561, means
It means the missing number will be square of its previous number
Means , so missing number is 81. : Answer
Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.
Suppose one number is x and second number is y
As per given equation, ......equation (1)
Their sum is 22 means, .......equation (2)
Putting the value of x from equation1 into equation 2
Subtracting 2 in both sides
Means numbers are 17 and 5. : Answer
Next : the missing number in the series 1, 4, 27,____, 3125 is
1 could be written as 1
4 could be written as
27 could be written as
So , next number would be
Next one is
So, the missing number is 256 : Answer
Next : the next number in the series 3, 4, 6, 7, 9, 10 is
After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing
So, next number will be 12. : Answer
Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?
Between 2 plants, the distance is =
Between 3 plants, the distance is =
So, between 23 plants, the distance is =
hene the distance between first and last plant woule be 66 feet. : Answer
By running in a bearing of 127°, Paul motion is in the south eastern direction.
Correct responses:
a. Please find attached the required diagram created with MS Visio
b. Paul's distance travelled east is approximately 11.98 km
- Paul's distance travelled south is approximately 0.903 km
Given:
The distance Paul runs = 1.5 km
The bearing Paul is running = 127°
a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction
Please find attached the diagram representing the situation, created with MS Visio.
b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;
- Paul's distance east = 15 km × cos(37°) ≈ <u>11.98 km</u>
Pau's distance travelled in the south direction relative to the starting point
is given by the vertical distance travelled relative to the x-axis, which is
given as follows;
Distance Paul travels south = 1.5 km × sin(37°) ≈ <u>0.903 km</u>
Learn more about bearings in trigonometry here:
