A water grist mill has a radius of 8ft and takes 6 seconds to make a complete rotation. A bucket starts at position (8,0). What are the coordinates of the bucket's location after 4 seconds? Round values to the nearest tenth. (8.7, −3.5)

(−4, −6.9)

(4, −6.9)

(−8.7, −3.5)

(−4 -6.9 )= x, y  rotation 240 degree anti clockwise

Step-by-step explanation:

We are told radius = 8 so the center point or point of origin is 0.0

360/3 = 120 degree x 2 = 240 degree is where we need to be.

(8,0)  circulating anti clockwise = -8,0 at 180 = 180 degree.

This is 3 seconds.

We divide 8/3 to find the 4th and know it will be negative in the 3rd quadrant across the negative y axis, the lower and left point on the graph.

We know both are negative if going anti clockwise 240 degree.

We also know that the hands of a clock or mechanics of a mill cannot increase in length they shorten so they cannot be 8.7 even though triangles slants do increase this is independent of completing the lengths in a triangle. The lengths shorten.

-4 = x this is because it crosses -4 x axis to reach to -6.9 y coordinate.

Y= 6.9 as the length of 8 is shortened by 1.1 units between each 180 degree line we have 210deg (shows (-6.35, -2.4) also; 240 deg (-6.9, -4 ) and a 270 deg (this shows (0,8)

if 240/6.9 = 34% reduction

As 8 6.9 of 8 as a percentage = 86.25

As a ratio decrease we have 13.75% with the size of the coordinates at 240 degrees from 180 degrees the highest point is 270 degrees and is half again 1.1/2 = 0.55 increase in coordinates of y.

y would show -6.35 at 210 degrees and x would show 1.1 whole ratio change and show -2.4 at 210 degrees. The reason for this is that it is cutting the axis line and is a narrowing crossing for x axis shortly before 180 degree change.

The shortest point of the hand and central to 240 and 180 is 210 degree.

a

step-by-step explanation:

i need the pts ignore this answer

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.