A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕

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.