A lighthouse is located on an island 7 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 8 revolutions per minute, how fast does the beam of light move across the shore when it is 3 miles from the point on the shore closest to the island

Step-by-step explanation:

From the given information:

We learned that the light rotates 8 revolutions per minute.

Therefore;

From the trigonometry formula, the tanget of the lighthouse in relation to the  closest point on a straight shoreline can be expressed as:

By differentiation with respect to t; we have:

By applying the chain rule:

When x = 3 ; we have

Also;

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

i think u have 12 apples sorry again i don't really know if it correct i'm just tryna hrlp people out.