The measure of central angle YCZ is 80 degrees. Circle C is shown. Line segments X C, W C, Y C, and Z C are radii. The length of
X C is 9. Angle Y C Z is 80 degrees. Sectors X C W and Y C Z are shaded. What is the sum of the areas of the two shaded sectors? 18 units2 36 units2 45 units2 81 units2
2 answers:
Answer:
The sum of the areas of the two shaded sectors is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of a circle is equal to
where
r is the radius of the circle
in this problem we have
substitute
Remember that
subtends the complete circle of area equal to
so
By proportion
Find the area of the two shaded sectors
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Answer
The mean of three numbers x1,x2,x3 can be obtained by a calculus. The first step of the algorithm is
1)
In order to obtain the median, maximun and minumun of x1, x2 and x3, we can compare x1 and x2. The smaller of those numbers will be compared to x3 and, if x3 is even smaller, then x3 is the minimun, the other small number is the median, and the remaining number is the maximun. Otherwise, we compare x3 with the bigger number to find median and maximun. To summarize:
2) compare x1 with x2. The bigger of the two numbers will be called '<em>s</em>' (for small) and the smaller will be called '<em>b</em>' (from big).
3) compare x3 with <em>s</em>. The smaller of this subset will be the minimun of the entire set of 3 elements.
4) Check if x3 is the minimun, in that case, <em>s </em>is the median, because <em>s</em> is between x3 and <em>b. </em>We also conclude that <em>b</em> is the maximun
5) if x3 in not the minimun, then compare it with <em>b.</em> The bigger element between the two of them will be the maximun of the set, and the smaller one will be the median.
I hope it helps you!
Answer:
.
Implied: .
Step-by-step explanation:
Get rid of the denominator by multiplying both sides of this equation with :
.
Isolate by moving
to the left-hand side of the equation. That is: add
to both sides of this equation.
.
By the symmetric property of equalities,