The fraction of the orange juice will be 2/3cup.
Why?
Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.
We can calculate the fraction of the orange juice using the following information:
Hence, we have that the fraction of the orange juice will be 2/3cup.
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<u>Given</u>:
Given that AB is a tangent to circle C.
The length of AB is (2r -1)
The length of AC is (r + 1) + r
The length of BC is r.
We need to determine the circumference of the circle C.
<u>Value of r:</u>
The value of r can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we have;
Simplifying, we have;
Expanding the terms, we get;
Simplifying the values, we have;
Adding both sides of the equation by 4r, we get;
Thus,
Since, the radius of the circle cannot be 0.
Hence, the radius of the circle is 8.
<u>Circumference of the circle:</u>
The circumference of the circle can be determined using the formula,
Substituting r = 8, we get;
Thus, the circumference of the circle is 16π
Hence, Option A is the correct answer.