Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:

Thus,
The area of the shaded sector is 69.81 sq. meters.
The least common factor is 4
Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
The first is ...
6 ≥ x
and it can also be written as ...
x ≤ 6
The second is
-2 ≤ x
The two inequalities can be combined into one compound inequality:
-2 ≤ x ≤ 6
_____
<em>Comment on this answer</em>
I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...
6 ≥ x ≥ -2
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2) +3x(6-y) -7xy
Distribute
xy -2x +18x-3xy -7xy
Combine like terms
-9xy+16x