Answer:
C
Step-by-step explanation:
You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is
12C3
12C3 = 12!/(9!3!)
12C3 = 12 * 11 * 10 * 9!/(9! 3!)
12C3 = 12 * 11 * 10/6
12C3 = 2 * 11 * 10
12C3 = 220
Answer:
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Step-by-step explanation:
ANSWER

EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,

We can rewrite it as fractions to get,

We make R the subject to get,

The area of the bigger circle can be found using the formula,

This implies that,


But it was given in the question that, the area of the bigger circle is 27π.

We divide through by 9π to get,

This means that,

The area of the smaller circle is therefore

Answer:
The first answer is correct I believe
Step-by-step explanation:
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions