9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
Median age is the age that divides a population into two numerically equally sized groups - that is, half the people are younger than this age and half are older. It is a single index that summarizes the age distribution of a population.
<h2>Answer </h2>
The length of UC is 18
<h2>Explanation </h2>
First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:
We can conclude that the length of UC is 18.
Fold tracing paper so that the line segment's endpoints line up with each other , Option D is the correct answer.
<h3>What is a Perpendicular ?</h3>
A perpendicular is a line drawn at 90 degree to a given line or line segment .
Fold tracing paper so that the line segment's endpoints line up with each other.
After drawing a line segment ,
when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.
Therefore, Option D is the correct answer.
To know more about Perpendicular
brainly.com/question/18271653
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Answer:
The acceleration is 965 kg•ms^-2
Step-by-step explanation:
Mathematically;
Force = mass * acceleration
From the question;
Force = 1930 N (kg• ms^-2)
mass = 2kg
Acceleration = Force/mass = 1930/2 = 965 ms^-2
