The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x. how many seconds are required for the pendulum to move from its resting position and return? enter your answer in the box.

2 seconds.

Step-by-step explanation:

We have been given a graph of a sinusoidal function. The given graph the distance y, in inches for a given number of seconds, x.

We can see from our given graph that the positive displacement of pendulum (distance covered to the right ) is from time equals 0.5 seconds to 1.5 seconds.

We can also see that negative displacement of pendulum (distance covered to the left) is from x equals 1.5 to x equals 2.5.

To find the time it takes for the pendulum to move from its resting position and return, we will find the time taken by pendulum to complete one revolution.

We can see that at time equals 0.5 seconds pendulum starts to move in right direction and at time equals 1.5 pendulum moves to left. At time equals 2.5 seconds pendulum again starts to move in right direction.

So the time taken by pendulum to move from its resting position and return will be:

Therefore, 2 seconds are required for the pendulum to move from its resting position and return.

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.