Answer quickly please. No links please. The length of the minute hand is 150% of the length of the hour hand. what distance will the tip of the minute hand move in 45 minutes? round to the nearest hundredth. the minute hand will move ? Answer quickly please.

108π mm.

Step-by-step explanation:

The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.  

But:

circumference is given by:

C=2*π*radius

The distance traveled by the hand in 12 hours will be:

2**36=76π mm

The distance traveled in 45 min will be:

0.75/12 *72π=4.5π mm

in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.

Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:

2*π*54mm=108π mm.

Hence;

in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice