2. A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ΔABC for the bases of one prism and ΔDEF for the bases of the other prism.

(a) Is ΔABC similar to ΔDEF ? Explain, and show your work. If you are showing that these triangles are similar you need to show which angles are congruent and show that the sides are proportional (3 points). Do not just say “yes” you will not receive credit. Please also state the similarity theorem or postulate you use (2 points)
(b) Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume (1 point)? How many times greater (1 point)? Show your work (3 points).

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

East black horse $0.25 total budget is $555 it'll cost $115 for other supplies about how many flyers do you think we can buy

Here is my question! jayne is studying urban planning and finds that her town is decreasing in population by 3% each year. the population of her town is changing by a constant rate. true or false?