A musician is constructing an octagonal recording studio in his home. The studio with dimensions shown below is to be built within a rectangular 31'9" by 279.4 room. Point D is er' from wall 2, and points and B are each from wall 1. Using the law of sines and right triangles, determine to the nearest tenth of an inch how far point A is from wall 1 and from wall 4

The point A is blank away from wall 1 ??
(Simplify your answer. Type an integer or decimal rounded to the nearest tenth as needed)

Abbey purchased a house using a fixed rate mortgage. the annual interest rate is 4.2% compounded monthly for 20 years. the mortgage amount is $235,000. what is the monthly payment on the mortgage? this isn't a multiple choice question have to show my work

What are the first 4 terms in the multiplication pattern given by the formula 2×4n

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?