Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
If they have 24 hours in a day, and use 1/6 of those 24 hours on news, they use 24*(1/6) or 4 hours on news. Assuming that they use the leftover time for just music and entertainment, we have 20h - 4h, so thats 20h. You were right. Not sure on their reasoning either.
Answer:
Selling price= $580
Step-by-step explanation:
eGiving the following information:
Buying price= $400
Mark-up percentage= 45% = 0.45
<u>The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.</u>
Mark-up= buying price* Mark-up percentage
Mark-up= 400*0.45
Mark-up= $180
<u>Now, the selling price:</u>
Selling price= 400 + 180
Selling price= $580
The answer is 5
Explanation:
10 - 5 = 5
