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.
Answer:
profit to be taxable will be $300,000
Step-by-step explanation:
Matt home cost = $150,000
Matt sold his home for = $450,000
so,
cost price will be $150,000
selling price will be $450,000
profit = selling price - cost price
profit = $450,000 - $150,000
profit = $300,000
hence the taxable amount for his home this year will be $300,000
Answer : B
the distance between the points (4,3) and (2,-1)
We apply distance formula
(x1,y1) is (4,3)
(x2,y2) is (2,1)
d^2 = 4+16 = 20
Take square root on both sides
So 
the distance between the points (4,3) and (2,-1) is 2sqrt(5)
Answer:
Step-by-step explanation:
Solving 
:
