A painter is placing a ladder to reach the third story window, which is 36 feet above the ground and makes an angle with the ground of 70°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.

The base of the ladder needs to be positioned
feet out from the building.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? o 3, -3o 6,629,-936, 36

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)