Length x width = formula of finding the area of a rectangle
2 3/7 x 2 4/5 = 6 4/5 (6.8)
The area of the rectangle is 6 4/5 / 6.8
The LCM of the denominators is 120. In other words, the denominators can multiply to 120.
3 * 40 = 120
40 * 2 = 80
Tigers: P = 80/120
24 * 5 = 120
24 * 4 = 96
Redbirds: P = 96/120
8 * 15 = 120
3 * 15 = 45
Bulldogs P = 45/120
60 * 2 = 120
60 * 1 = 60
Titans P = 60/120
Answer
Tigers: P = 80/120
Redbirds: P = 96/120
Bulldogs: P = 45/120
Titans: P = 60/120
Answer: 60
Step-by-step explanation: I did the math but sorry if this is wrong
Answer:
28.26 inches
Step-by-step explanation:
Given
diameter (d) = 9 inches
circumference (c)
= π d
= 3.14 * 9
= 28.26 inches
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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