Answer:
associative prop
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension
Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:
Express as improper fraction
So, we have:
The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:
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Assume n is 3 (i.e. 3 containers)
The total area is:
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The tangent line is perpendicular to the radius from the center of the circle to the point of tangency.
ΔDCE is similar to ΔDBA
DC/DB=DE/DA
15/50=DE/40
DE=12
Answer:
Step-by-step explanation:
<u><em>(1).</em></u> (x - <em>h</em>)² + (y - <em>k</em>)² = <em>r</em>²
where <em>(h, k)</em> are coordinates of a center of the circle with radius <em>r</em>
<u><em>(2).</em></u> ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
The Mean would increase to 82.17 or a total increase of .17
You have 99 students and the avg is 82, therefore we can multiply 99*82 to get our total points
99*82=8118
We add a single score of 99 to our total points 8118+99= 8217
Then we add the student to the total number of students bringing it to 100 and divide our new total by the our new number of students.
8217/100 = 82.17