Around swimming pool has a circumference of 66 feet. carlos wants to buy a rope to put across the diameter of the pool. the rope costs $0.45 per foot, and carlos needs 4 feet more than the diameter of the pool. how much will carlos pay for the rope? (example 3)
find the diameter.
c = πd
≈ 3.14 d
/3.14 ≈ 3.14 d/3.14
=d
find the cost.
carlos needs feet of rope. × $0.45 = carlos will pay for the rope.

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.