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madam [21]
3 years ago
10

The Sea Dragon, a pendulum ride at an amusement park, moves from its central position at rest according to the trigonometric fun

ction P(t)=−10sin(pi/3t), where t represents time, in seconds. How many seconds does it take the pendulum to complete one full cycle?
A= 3
B= 5
C= 6
D= 10

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:T = 2*Pi / (Pi / 3) = 6 seconds

Step-by-step explanation:

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Zolol [24]
<h3>Answer:</h3>

A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

<h3>Explanation:</h3>

The sum of angles in ∆ABC is 180°, so ...

... (2x -2) + (2x +2) + (5x) = 180

... 9x = 180

... x = 20

and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.

___

The sum of angles of ∆A'B'C' is 180°, so ...

... (58 -x) +(3x -18) +(120 -x) = 180

... x +160 = 180

... x = 20

and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.

_____

The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...

... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°

8 0
3 years ago
Graph the systems of equations.<br><br> {2x+y=8−x+2y=6
victus00 [196]
Hi, I actually just took the test and got 100%

Remember: When plotting the points for this equation, make sure to always first plot the ones that correspond to the first linear equation, and then plot the ones that correspond to the second linear equation. 

The points on the line should be for the first linear equation, (4,0) and (8,0). I got this answer by first converting the linear equation, 2x+y=8 from standard form to slope-intercept form. To do this, I subtracted 2x from both sides of the equation. So now it reads as y=8-2x. After this step was completed, I then graphed my first linear equation.
The points on the line should be for the first linear equation, (2,4) and (6,6). 
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I hope this helps!
5 0
3 years ago
Read 2 more answers
Are there any solutions
Travka [436]

Answer: B Exactly one solution

Step-by-step explanation:

5x+8-7x=-4x+1

-2x+8=-4x+1

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2x=-7

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8 0
2 years ago
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Answer:1588

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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