Two triangles: The lengths of the sides opposite the angles.

In this question ABC and PQR are two triangles, and the lengths of the sides opposite the angles A,B,C P, Q, R are a,b,c,p,q,r, respectively. Choose the THREE false statements. Options. A. If angle A= angle Q and angle B= angle P. then it must follow that c b --- = -- r p B. I ...continues

Algebra : Word problem - Time and Distance

Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? Plese try to give a detailed response as my answer is not as important as the thought processes that I must understa ...continues

Algebra : Word Problem - Relative Speed

A column of soldiers 25 miles long marches 25 miles a day. One morning, just as the day's march began, a messenger started at the rear of the column with a message for the man at the front of the column. During the day he marched forward, delivered the message to the first man in the column and returned to his position just as ...continues

Algebra: Word Problem - Handshakes

At a party I gave, attended only by couples, some persons shook hands. Upon inquiry, I found at the end of the evening that everyone else had shaken a different number of hands. How many hands did my spouse shake? Please be detailed in your response. I need to understand the thought processes involved in this problem.

Algebra: Word Problem - System of Equations

Three people play a game in which one person loses and two people win each game. The one who loses must double the amount of money that each of the other players has at that time. The three players agree to play three games. At the end of the three games, each player has lost one game and each has $8. What was the original st ...continues

Algebra : Word Problem - Sums and Products

During the census, a man told the census-taker that he had three children. When asked their ages he replied, " The product of their ages is 72. The sum of their ages is my house number." The census taker turned around and ran outside to look at the house number displayed over the door. He then re-entered the house and said, " ...continues

Perturbation Theory

Find the real root of the equation x^5 + ex - 1= 0 approximately to O(^2) using perturbation theory.

Perturbation theory

Find the real roots of the equation x^5 + ex-1=0 approximately to O(e^2) usind perturbation theory. Compare the accuracy of the perturbative solution for e=0.001, 0.1, and 1

Customers in a Queue

Customers arrive into a queue, where they are served, and then depart. We model the time between two successive arrivals by an exponential distribution with an arrival rate l=9. Similarly, the departure times are modeled by an exponential distribution with a departure rate m=10. Find the average number of customers in the que ...continues

Problem Solving

A man enters a bank and has a check cashed. The teller mistakes the figures and pays cents for dollars and dollars for cents. The man then pays a bill for $24.11 after which he finds he has twice as much money as the face value of the original check. What was the face value? (In case it makes a difference, this is in US doll ...continues