Clock problem involving angles

I am studying for a geometry test and am having trouble with a review problem at the end of the chapter. This is not homework. One problem asks the following: At 3:00, the hands of a clock form an angle of 90 degrees. To the nearest second, at what time will the hands of the clock next form a 90 degree angle? I figure that 4:05 is one time after three that the hands will form a 90 degree angle. So I figure that halfway betwee 3:00 and 4:05, the hands will form a right angle. Since half of 65 min is 32.5 minutes, so the answer should be 3:32:30. However, the answer at the end of the book is 3:32:44??? Don't understand this. The second part of the problem is: To the nearest second... click for more

You are interviewing for a position with an association representing the tire industry...

You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group asked the U.S. government to require expiration dates for tires. Representatives for the manufacturing industry test the tires, collect data, and create graphs of functions to test tire durability. As part of the interviewing process, you are asked to solve the following problems. 1.Two cars with new tires are driven at an avera ge speed of 60 mph for a test driv... click for more

Geometry

a. Find an equation of a stright line paaing through the points with coordinates (-1, 5) and (4, -2), giving your answer in the form ax + by + c = 0 , where a, b and c are integers. b. The line crosses the x-axis at the point A and the y-axis at the point B, and the O is the origin. Find the area of the triangle OAB. I have the answers for these but do not understand how it is worked out so could you please show the method of working. Many thanks

Differentiation

The curve y = ax2(ax sqaured) + bx passes through the point (2, 4) with gradient 8. Find a and b I have the answer but do not understand how to get to it. Therefore, could you please show full workings. Many thanks.

Coordinance geometry

The points A(-1, -2), B(7, 2) and C(k, 4), where k is a constant are the vertices of traingle ABC. Angle ABC is a right angle. 1. Calculate the value of k 2. Find the exact area of traiangle ABC 3. Find the equqtion for the stright line l passing therough B and C. Give your answer in the form of ax + by = c = 0 , where a, b and c are integers. The line l crosses the x-axis at D and the y-axis at E 4. Calculate the coordinates of the midpoint DE Could you shoow all workings please so that I can learn how it is done. Many thanks