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the value of x is 8 cm.
<u>Step-by-step explanation:</u>
Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.
We have ,
the area of a circle = πr²
the outer circle area =
the inside circle area =
According to Question,
the outer circle area - the inside circle area = he shaded region
⇒
⇒
⇒
⇒
Therefore , the value of x is 8 cm.
Option C: is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,
Let us break the expression into two groups, we get,
Factoring 4x from the term , we get,
Similarly, factoring 7x from the term , we get,
Now, let us factor out , we get,
Hence, the possible expressions for length, width and height of the prism is
Therefore, Option C is the correct answer.