Answer:
Area of sector is 6pi cm^2
Step-by-step explanation:
Mathematically pi radians is 180 degrees
thus pi/6 radians is 180/6 = 30 degrees
The formula for the length of an arc is;
theta/360 * 2 * pi * r
where theta in this case is 30 degrees
And the arc length is pi
so we have
30/360 * 2 * pi * r = pi
30/360 * 2 * r = 1
60r = 360
r = 360/60
r = 6 cm
Now the area of a sector is;
theta/360 * pi * r^2
30/360 * pi * 36
= 6pi cm^2
Answer:
150% change
Step-by-step explanation:
Formula for Percent change = C =[ (new - old)/ old ]* 100%
C = [ (25 in. - 10 in.) / 10 in. ] = [15/10 ] * 100% = 150 %
Answer:

its down 1 over 2 each time
Answer:
A = 846 in²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ ( d₁ and d₂ are the diagonals ) , then
A =
× 36 × 47 = 18 × 47 = 846 in²
BD = 2 AE
10 x + 2 = 2 * ( 3 x + 5 )
10 x + 2 = 6 x + 10
10 x - 6 x = 10 - 2
4 x = 8
x = 8 : 4
x = 2
And the line AC is equal to BD.
AC = 10 * 2 + 2 = 20 + 2 = 22
Answer:
3. 22