Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?
2 answers:
Answer:
Step-by-step explanation:
Circumference(C) of a circle is given by:
....[1]
where, r is the radius of the circle.
As per the statement:
Given a circle with a diameter of 4.
We know that:
Diameter(D) = 2r
⇒2r = 4
Substitute the value in [1] we have;
⇒
Divide both sides by 4 we have;
Therefore, the the ratio of the circumference of a circle to its diameter is,
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Answer:
Step-by-step explanation:
The functions, missing from the question are:
Required
Determine the domain
To get the domain, means we want to get the possible values of x.
(a)
Equate 3 - x to 0
Solve for x
From the calculated value of x above;
When x exceeds 3; f(x) = undefined
So: the domain is:
(b)
Equate 3x to 0
Solve for x
From the calculated value of x above;
When x falls below 0; f(x) = undefined
So: the domain is:
Answer:
The motorist's average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.
Step-by-step explanation:
Let the motorist's average rate in the afternoon = <em>x</em> mph.
It is given that his average rate in the morning was twice his average rate in the afternoon.
Therefore, his average rate in the morning = 2<em>x</em> mph.
Let <em>t</em> be the time taken for the morning trip.
It is given that he spent 5 hours for driving.
So, the time taken by him for the afternoon trip = 5 - <em>t</em>.
Now, using the formumla, ,
the verbal model for the morning trip is:
<em>xt</em> = 75
The verbal model for the afternoon trip is:
5<em>x</em> - <em>xt</em> = 50
Substituting <em>xt</em> = 75, we get,
5<em>x</em> - 75 = 50
5<em>x</em> = 125
<em>x</em> = 25
2<em>x</em> = 50
Hence, his average rate in the morning trip was 50 mph and that for the afternoon trip was 25 mph.