As the earth revolves around the sun, distant objects can be seen from different locations. This idea can be used to measure the distance between earth and nearby stars and is called stellar parallax. To see how this process works, consider the simplified scenario below.

A distance object is observed on earth from location 1 and again six months later at location 2. The angle at both location 1 and 2 is 89.9 degrees. How many astronomical units is the distant object from location 1?

John has written the following proof showing that the diagonals of a parallelogram are equal in length.  The diagonals of a parallelogram are not necessarily equal, so he must have made an error.  Identify and explain the error.

harriet has noticed that it always seems to smell nice just before it rains. one day she smells that ''rain smell''and thinks it will rain soon which statement below is true?

a)harriet is using deductive reasoing to form a premise 

b)harriet is using deductive reasoning to form a parodox 

c)harriet is using inductive reasoning to form a premise 

d)harriet is using a inductive reasoing to form a conjecture 

The safe stopping distance, d, in metres is given by the function d(s) = 0.02(3s*2+20s), where s is the speed of the motorcycle in metres per second. Find the speed at which the safe stopping distance is 50 metres. 

Explain why any proof that uses the AAS congruence condition could also use the ASA condition.

sketch the graph of y=(x-2) (x-s) for s=-4

explain why it is difficult to use the cosine law to solve for a without determining any further information

the graph of the function g(x) has the same shape and direction of opening as the graph of f(x)=3(x-2)^2+9. the graph ofg(x) has a vertex that is 2 units to the right and 5 units down from the vertex of the graph of f(x)

Larry likes skeet shooting 

reagan is building a picture frame for a gift. he plans to make it an octagon with equal angles. to what angle should reagan saw his boards to complete the project