How many hours will it take a bicyclist traveling 17.6 feet per second to finish a 90-mile race? Round your answer, if necessary, to the nearest tenth.

90 * 5280 = 475,200 feet

475,200 / 17.6 = 27,000 seconds

60 * 60 = 3,600 seconds per 1 hour

27,000 / 3600 = 7.5 hours

XY bisects and is perpendicular to line segments AB and CD . AB = 96 inches, and line segment AP = 52 inches. What is the length of XY ?

To answer this question, we need to find the time it takes for the bicyclist to complete the race. We can use the formula:

Time = Distance / Speed.

First, let's convert the distance from miles to feet since the speed is given in feet per second. In one mile, there are 5,280 feet (1 mile = 5280 feet). Therefore, the distance of 90 miles can be converted to feet as:

90 miles * 5280 feet/mile = 475,200 feet.

Now we have the distance in feet, which is 475,200 feet, and the speed is given as 17.6 feet per second. We can substitute these values into the formula:

Time = Distance / Speed
Time = 475,200 feet / 17.6 feet per second.

Dividing these two values, we get:

Time = 27,000 seconds.

Finally, we need to convert the time from seconds to hours. There are 60 seconds per minute and 60 minutes per hour, so:

Time = 27,000 seconds / (60 seconds/minute) / (60 minutes/hour)
Time = 7.5 hours.

Therefore, it will take the bicyclist approximately 7.5 hours to finish the 90-mile race, rounded to the nearest tenth.