Angelo the alligator is laying out next to a perfectly circular pond. he is 25 feet from the edge of the pond and 4 feet from the point of tangency. Determine the radius of the pond

19.5 feet

Step-by-step explanation:

I assume you mean 40 feet, not 4 feet.

Draw a picture of the pond and Angelo the alligator.  Angelo is 25 feet from the edge of the pond.  If we draw a tangent line from Angelo to the pond, the length of the tangent line is 40 feet.

Now draw a radius line from the center of the circle to the point of tangency; this is perpendicular to the tangent line.  Draw another radius line from the center of the circle towards Angelo.

The result is a right triangle, where the legs are r and 40 feet, and the hypotenuse is r+25 feet.

Using Pythagorean theorem:

(r + 25)² = r² + 40²

r² + 50r + 25² = r² + 40²

50r + 25² = 40²

50r + 625 = 1600

50r = 975

r = 19.5

The radius of the pond is 19.5 feet.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it