Answer:
area of the sector = 3.25π yard²
Step-by-step explanation:
The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.
area of a sector = ∅/360 × πr²
where
∅ = center angle
r = radius
area of the sector = 130/360 × π × 9
area of the sector = 1170π/360
area of the sector = 3.25π yard²
If the shaded area is segment. The shaded area can be solved with the formula.
Area of segment = area of sector - area of the triangle
Area of segment = ∅/360 × πr² - 1/2 sin∅ r²
The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle
Answer:
i=40
Step-by-step explanation:
i is the interest. So to find i we will multiply their pay by the rate.
500 x 8% or .08
500 x .08=40
So the interest of this equation (or i) is 40
Answer:
I would say yes. Now I'm not in your type of school grading system, but if you try to get as many 90s and 100s in your homework for the next week, you would probably get there.
Step-by-step explanation:
Good luck! I know you will do great.
One way is they numbers both start in the hundred-thousands place
Another way is they both end in 4
Another way is they are both under 500,000
If you don't think my answers are that great try to make some up it is very simple.
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
