Two 5 inch pulleys are connected by a untwisted straight belt if the first pulley is turned clockwise at 15 rpms in what direction and how fast will the second pulley turn

same speed and same direction of rotation

Step-by-step explanation:

We know that the two pulley are of same sizes with diameter 5 inch.

Also they are connected by a straight belt that is untwisted.

Now when one pulley is turned  with 15 rpms an a clockwise direction, the other pulley will also move with same speed that is with 15 rpms and in the same clockwise direction, because both the pulleys are of same diameter.and same sizes pulley will rotate or move with the same speeds. And as they are not directly connected, they are separated by a distance and is connected by a straight belt, so they will move in the same direction.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option