Using the side of the square find the area:
Area = 30^2 = 900 square feet.
The rectangles area is the same, 900 square feet.
Let the width = X
The length would be 2X + 70
Area = length x width
X * 2x+ 70 = 900
This expands to 2x^2 * 70x = 900
Use the quadratic formula to solve for x:
-70 +/- sqrt(70^2-4*2(-900))/2*2
X = 10
Width = x = 10 feet
Length = 2x + 70 = 90 feet
Answer:
The answer to your question is: letter D
Step-by-step explanation:
First we need to find the distances between the points,
distance AB = 8 get it just by counting the points in the graph
distance AC = 9 get it just by counting the points in the graph
To know the distance BC, use the pythagorean theorem
c2 = a2 +b2
c2 = 8² + 9²
c² = 64 + 81
c² = 145
c = 12.04
Finally, perimeter = AB + AC + BC
= 8 + 9 + 12.04
= 29.04 units
The answer is B AC
because it's the 2 that connect the line between A and C
Answer:
The set A ∩ B contain {6, 12}
Step-by-step explanation:
Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}
We have to find A ∩ B
Consider the given sets
Set A = {3, 6, 9, 12}
and set B = {2, 4, 6, 8, 10, 12}
Since, A ∩ B includes those elements that are both in set A and set B.
Thus, the common elements of A and B are 6 and 12
So , the set A ∩ B contain {6, 12}
Answer:
Correlation coefficient 'r' would be lower.
Step-by-step explanation:
Correlation is co movement relationship between two variables.
Correlation coefficient 'r' is positive, when variables move in same direction. 'r' is negative when variables move in opposite direction. So, 'r' lies between -1 (perfect negative correlation) & +1 (perfect positive correlation). High 'r' magnitude reflects strong correlation between the variables, Low 'r' reflects weak weak correlation between the variables.
Correlation studied between amount of daily exercise and weight : It is negative as exercise & weight are negatively correlated - more exercise, less weight & less exercise, more weight. 'r' is given = -0.21
If sample is restricted to people weighing less than 180 pounds : It would lead to fall in 'r'. Such because these low weight people are likely to have good natural metabolic rate, naturally slim body physique / figure. So, in their case, exercise & body weight are likely to be less (weakly) correlated than normal case.
