7 people are running in a race. If we only care about first, second and third place, how many possible outcomes are there?
1 answer:
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<h2>Greetings</h2>
<h2>Hope this helps!</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>5m = 160
Divide both sides by 5:
m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3><h2>Hope this helps!</h2>
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply:
In this case, the slope of the orange line is and that of the blue line is
Then , it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
