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The sum of the angles in a triangle varies according to the geometry in which the triangle lies.
1. Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
2. Prove that the statement "The sum of the angles in any triangle is 180 degrees" is true in Euclidean geometry.
Note: The attached "Parallel Postulate to Triangles Diagram" may prove useful in relating the parallel postulate to triangles.
3. Prove that the statement, "Rectangles do not exist," is true in hyperbolic geometry.
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
The Marginal profit function.
Calculate the mean and variance of profit where the mean and variance for the number of units produced are 500 & 900 respectively.
Use the chi square test to find the listed occupations
Explain how regression and analysis can be used to test a Survey?
Complete the square and sketch a graph of the following ellipse. Give the coordinates of the centre and the four vertices. What is the length of the major axis?
The points on a plane: A(-3;2) and B(1.5;-3) are included in a parallel right to another one which crosses point at P(-2;-4). The equation of this last right
O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. What is the ratio of the area of triangle EOC to TRIANGLE abc?
Assuming that the speaker and the cat fanciers met by traveling in opposite directions, what is the answer and how many kittens are being transported
The temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities:
In her wallet, Susan has 12 bills. 6 are $1 bills, 2 are $5 bills, 3 are $10 bills, and 1 is a $20 bill. She passes a volunteer seeking donations for the American Red Cross and decides to select 1 bill at random. Determine
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
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