The area of the shaded sector must be 144π units².
<h3>What is the area of the circle?</h3>
The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle =
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
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<span>the logical answer is t ≥ 0</span>
Answer:
x-intercept of the graph of the function is,
Step-by-step explanation:
Given the function: ......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of
then;
Divide both sides by 3 we get;
Since, the cotangent function is positive in the first and third quadrants.
The period of the function is so values will repeat every radians in both directions.
we have;
Therefore, the x-intercept of the graph of the function is ;
for every integer n;
Answer:
bob would be 46
Step-by-step explanation:
take 67 subtract 4 to get 63 and divide it by 3 to get 3 groups of 21
add 21 and 21 to get 42+4=46