a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity = Distance/Time
b) the velocity is in direct proportion to distance and inverse relation to time.
c) The graph shown by velocity- time is a straight line graph.
<h3>what is algebra?</h3>
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
There is a equation we are familiar with , the equation of motion
Velocity = Distance/Time
Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.
So, the velocity is in direct proportion to distance and inverse relation to time.
The graph shown by velocity- time is a straight line graph.
Learn more about algebra here:
brainly.com/question/953809
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The answer:
<span>the average rate of change for the first 50 seconds:
it is v= 100 m/ 50 s = 2 m/s
</span><span>Thomas speed is 2 m in each second for the first 50 seconds.
</span><span>The average rate of change for the 70 remaining seconds:
the time is between [70; 120]
so the distance is d= 200m - 40m= 160m
the average rate is
v= 160m / 70 s = 2 . 28m /s
</span>
Divide both sides by 8.5 to get b on its own
68/8.5 = 8
So b = 8
I think I know what it forms - a cone!!
I'm guessing that the angles at the end are 10 degrees so that would make angle CAB equal 5 degrees.
Line AB would be the radius of the "upper cone".
Line BC is 12/2 or 6
tangent (A) = BC / AB
tangent (5) = 6 / AB
AB = 6 / tan(5)
AB = 6 / 0.087489
AB =
<span>
<span>
<span>
68.58 which is the radius of the "upper cone".</span></span></span>
Cone Volume = (PI * radius^2 * height) / 3
Cone Volume = (PI * 68.58 * 68.58 * 6) / 3
Cone Volume =
<span>
<span>
<span>
29,551
That is just the "upper cone volume. So, we multiply </span></span></span><span><span>
<span>
<span>
29,551 * 2
and get 59,102 which is the volume of the entire solid.
</span></span></span> </span>
Source for cone volume:
http://www.1728.org/volcone.htm
