A drive has a maximum speed of 12,000 revolutions per minute. If a disc has a diameter of 12cm, what is the linear speed, in km/h, of a point 3cm from the center if the disc is spinning at a rate of 5000 revolutions per minute?

(please show step by step) thanks!

56.55 km/h

Step-by-step explanation:

First we need to convert from revolutions per minute to rad per hour knowing that each revolution equals to 2π rad and 1 hour = 60 minutes

5000 rev/min = 5000 rev/min * 2π rad/rev * 60 (min/hour) = 1884955 rad/h

Then we can find the linear speed by multiplying the angular speed with the distance from center

1/5x+9 2/5y+7

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.