For a track meet, Tara ran the 1,600 m event at constant speed in 5 minutes and 20 seconds. What was her speed?
1 answer:
Answer:
300 m/min
Step-by-step explanation:
Using the general formula of d = rt, where d = distance, r = rate and t = time, we can solve for the missing variable (r, or speed). Given Tara's distance of 1600 m and her total time of 5 minutes and 20 seconds, first convert her time into just minutes:
5
5
1600 = r(16/3)
Multiply both sides by reciprocal of 16/3: 3/16(1600) = r(16/3)(3/16)
Solve for 'r': 300 meters per minute
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Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+
=
+
36 + 12r + = 81 +
collecting like terms,
12r = 81 - 36
12r = 45
r =
= 3.75
r = 3.75
The radius is 3.75.
The profits at x = $185 is 0 and the graph is attached below:
<h3>What is graph?</h3>Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
Learn more about this concept here:
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