Let t be time and r be rate, then if time varies inversely with the rate, the equation is
. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Answer:
Step-by-step explanation:
"A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).
A model may help to explain a system and to study the effects of different components, and to make predictions about behavior."
Answer:
17
Step-by-step explanation:
First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2
(it's very important that the ∠ABD angle is 90 degrees)
8^2 + 15^2 = s and 5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)
64 + 225 = 289 now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17
Hope it helped!
Answer:
Distance = 7.6
Step-by-step explanation:
