We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
Answer:
raju is 20 years old while the father is 40 years old
Step-by-step explanation:
present : lets assume raju is x years old so the father will be 2x
after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs
therefore :
(x+10)+(2x+10)=80
liketerms together
x+2x+10+10=80
3x+20=80
3x=80-20
3x=60
simplify
x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old
Answer:
the answer is 1/8
Step-by-step explanation:
it is because there is only one piece of yellow out of eight pieces
the longer side / the shorter side must be the same for rectangles to be similar.
For A: 105 / 80 = 1.32
For B: 120 / 90 = 1.33
For C: 100 / 75 = 1.47
So... only A and B are similar.
Answer:
D is the answer
Step-by-step explanation:
4y - 8y² + 9y - 7y² ( collect like terms)
13y - 15y²
Hope this helped!!!