An online furniture store sells chairs for $50 each and tables for $550 each. Every day, the store can ship a maximum of 32 piec
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<span>A perfect power is a positive integer that can be expressed as an integer power of another positive integer.
More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that
.
Sometimes, some fractional or decimal radicants are not perfect power, yet they evaluate to a terminating decimal or recalling decimal.
Example: 6.25 is not a perfect power, but
.
Therefore, </span><span>A radical whose radicand is not a perfect power is a rational number</span> SOMETIMES.
More formally, n is a perfect power if there exist natural numbers m > 1, and k > 1 such that
Sometimes, some fractional or decimal radicants are not perfect power, yet they evaluate to a terminating decimal or recalling decimal.
Example: 6.25 is not a perfect power, but
Therefore, </span><span>A radical whose radicand is not a perfect power is a rational number</span> SOMETIMES.
Answer:
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Explanation:
The (x-a) in the denominator causes a problem if we tried to simply directly substitute in x = a. This is because we get a division by zero error.
The trick often used for problems like this is to rationalize the numerator as shown in the steps below.
At this point, the (x-a) in the denominator has been canceled out. We can now plug in x = a to see what happens
There's not much else to say from here since we don't know the value of 'a'. So we can stop here.
Therefore,
<u>Given</u>
The measure of the arc AC is
The measure of the angle ABC is
We need to determine the value of x.
<u>Value of x:</u>
The inscribed angle theorem states that, "the measure of an inscribed angle is half the measure of the intercepted arc".
Applying this theorem, we have;
Substituting the values, we get;
Thus, the value of x is 41°
Therefore, the measure of angle ABC is 41°