Answer:
Um.... did you forget to attach something because all I see is
<em>Data are collected on the 35 students in a college history course. Which of the following is not a variable for the data set?</em>
Step-by-step explanation:
Options are not shown but…
A square has 4 equal length sides and a right angle
Or two equal length diagonals which are perpendicular
Or 4 right angled corners and two adjacent sides equal
Or perpendicular diagonals with the same midpoint
Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED
Old price: p1 = $ 3.90;
New price: p2 = $ 3.40.
The percentual decrease is given by
d(%) = [ (p2 - p1) / p1 ] * 100 %
d(%) = [ (3.40 - 3.90) / 3.90 ] * 100 %
d(%) = [ - 0.50 / 3.90 ] * 100 %
d(%) = - 0.128 * 100 %
d(%) = - 12.8 % (approximately)
So the price fell 12.8 % approximately.
I hope this helps. =)
Answer:
60 m, 61 m
Step-by-step explanation:
If "a" and "b" represent the lengths of the sides adjacent to the right angle, the area is ...
area = (1/2)ab
Filling in the given information, we can find the other side to be ...
330 m² = (1/2)(11 m)b
60 m = b . . . . . . divide by the coefficient of b
Then the remaining side can be found from the Pythagorean theorem:
c² = a² + b² = 11² + 60² = 3721
c = √3721 = 61 . . . meters
The lengths of the other two sides are 60 m and 61 m.
