The explicit formula of the arithmetic sequence:
d - common difference
We have the recursive formula of an arithmetic sequence:
Therefore we have:
Substitute:
<h3>Answer: aₙ = 7 - 3n</h3>
(15/r) - 1...when r = 5
(15/5) - 1 =
3 - 1 =
2 <==
2.4 in^2 is the area of the triangles and the angle of the rectangle is 7.48 in^2 so the total area is 7.88 in^2
Answer:adult=75
Students = 200
Children=75
Step-by-step explanation:
Let x= adult tickets, y=students, z=child
x+y+z =350
Since x=z
y+2z= 350 -----------1
20x +12y + 10z = 4650
Since y=z
12y +30z = 4650 --------2
Using elimination method to solve eqn 1&2
Multiply eqn 1 by 12
12y + 24z = 4200
12y +30z = 4650
Subtract equ 2 from 1
-6z =-450
z=75, x = 75
y=350 -(75+75)
y= 200 tickets
For this problem, it is best to draw a plane showing the positive and negative, in x and y axes.
Since it is given that the coordinates of the epicenter is at (0,0), thus it is at the center of the plane.
In order to find the outside boundary of the earthquake, the center-radius equation can be used as follows:
[(x-h)^2] - [(y-k)^2] = r^2
where, (h,k) is the coordinates of the center, which is (0,0), and r is the radius which is equal to 52.
Substituting these values into the standard center-radius equation,
x^2 - y^2 = 52^2
The answer is,
x^2 - y^2 = 2704
