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otez555 [7]
3 years ago
5

Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

rium, bounces to it maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds. (think about amplitude and period)
Mathematics
1 answer:
olasank [31]3 years ago
6 0
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
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Korolek [52]

Answer:

The rectangle ABCD and the congruent angles are shown in the diagram below.

We know that T is a midpoint.

That gives us the length of TD = length of TB, also TA = TC

Look for triangle ATD and BTC, we have so far that:

TD = TB and TA = TC

∠DAT = ∠BCT (properties of alternate angles)

∠ATD = ∠BTC (properties of opposite angles)

By the postulate SAS (Side Angle Side) we can deduce that AD = BC

Answer: TB = TD (Fourth option)

Step-by-step explanation:

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3 years ago
Consider kite FGHJ. Kite F G H J is shown. Angle F and H are congruent. The length of side F G is 30 centimeters, the length of
TiliK225 [7]

Answer:

  a = 17, b = 6

Step-by-step explanation:

Sides GF and GH are congruent, so we have ...

  GF = GH

  30 = 2a -4 . . . . substitute given values

  15 = a -2 . . . . . divide by 2

  17 = a . . . . . . . . add 2

Sides FJ and HJ are congruent, so we have ...

  FJ = HJ

  3b +6 = 24 . . . . substitute given values

  b +2 = 8 . . . . . . divide by 3

  b = 6 . . . . . . . . . subtract 2

The values of a and b are (a, b) = (17, 6).

3 0
3 years ago
X/3 - ( -2) =16 and its 7 th grade algebra btw i need help
Novosadov [1.4K]

Answer x/3 -(-2)= 16

X/3+ 2=16

X/3=16-2

X/3=14

X= 14x3=42

Step-by-step explanation:

3 0
3 years ago
Pedro bought 8 tickets to a basketball game. He paid a total of $208. Write an equation to determine whether each ticket cost $2
Kryger [21]
Here is the equation:

8x= 208

Divide both sides by 8.

x= 26

Each ticket costs 26 dollars. 

I hope this helps!
~kaikers
3 0
3 years ago
Read 2 more answers
Y = x²+1 at x=1 what’s the solution?
ArbitrLikvidat [17]
Y = x^2 + 1
if x = 1 then
y = 1^2 + 1 ( 1^2 = 1 )
y = 1 + 1
y = 2
3 0
3 years ago
Read 2 more answers
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