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Answer
5.5cm
Step-by-step explanation:
The radius of a circle is the distance from the center of the circle to any point on its circumference.
The easiest way to find the radius is by dividing the diameter in half.
Radius = 1/2 × diameter
Here diameter is given as 11 cm.
Hence Radius = 1/2 × 11 cm.
= 11/2 cm.
= 5.5 cm.
59 is a tough bird to deal with; its only factors are 1 and 59.
Thus, forget about factoring. Instead, use the quadratic formula, or solve the equation by completing the square.
Please note: x2 is ambiguous. Please write x^2 to indicate "the square of 2."
Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.
Use the quadratic formula: x=[-b plus or minus sqrt(b^2-4ac)] / (2a)
to find the two roots. Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
3 sodas cost $2.97 +.15 tax total $3.12
Before you do the steps, change the fractions given to improper fractions:
2 2/3 = 8/3
3 1/6 = 19/6
Now, I think the first step they want you to write is:
8/3 (divided by) 19/6
When you divide two fractions, it's the same as multiplying the first fraction by the reciprocal of the second fraction. (A reciprocal is a fancy way of saying you flip the fraction)
So the next step will look like this:
8/3 x 6/19
With this setup, you can cross simplify the fractions so that they look like this:
8/1 x 2/19
When you multiply this, you get 16/19
Let me know if you have any questions!
