I've never been good in math, but I have to do good on these problems for my class; I've tried solving them myself and am giving myself a headache just trying to figure out what formulas to use. I could really use some help!!
1. Determine whether the following argument is correct. If it's not correct, explain what is wrong with the argument and change the minor premise to make a correct argument.
If a traingle is equilateral, then it has three equal sides.
Triangle ABC doesn't have three equal sides.
Therefore, triangle ABC isn't equilateral.
2. A city block 500 feet by 500 feet is an unobstructed paved lot, except for a small office building 100 feet by 100 feet, centered in the middle of the block. What's the shortest distance from the SW corner to the NE corner, going through the paved lot and along (but not through) the building (to the nearest foot)?
3. Suppose a 12-foot ladder is leaning against a wall so that its base is 2 feet from the edge of the wall. As you climb to the very top of the ladder, you find you can reach 7 feet above the top of the ladder. To what height are you reaching (in feet, to one decimal place)?
4. Find the dimensions of a rectangular region with maximum area that can be enclosed by 80 feet of fencing.
5. The Fibonacci sequence of numbers begins 1,1,2,3,5,8,13,21,34,55,... and continues by the rule: Every number is the sum of the two previous numbers. Determine the next five (eleventh through fifteenth) elements of this sequence. Compute the ratio of the fourteenth and fifteenth elements of this sequence. Is it close to the Golden Ratio?
Please help if you can!! I have to show work too!