Langston has $45$ greeting cards. He gives $18$ of the cards to his friends. What percent of his greeting cards does he give to
2 answers:
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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
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⇒
⇒
⇒
Therefore , the value of x is 8 cm.
The range of the equation is
Explanation:
The given equation is
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;
This can be written as
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;
Solving for y, we get;
Applying the log rule, if f(x) = g(x) then , then, we get;
Simplifying, we get;
Dividing both sides by , we have;
Subtracting 7 from both sides of the equation, we have;
Dividing both sides by 2, we get;
Let us find the positive values for logs.
Thus, we have,;
The function domain is
By combining the intervals, the range becomes
Hence, the range of the equation is