CPhill

(-6r^5 s^9)^2 =

(-6)² * (r⁵)² * (s⁹)²  =

36r¹⁰s¹⁸

A = (1/2)r²Θ  and Θ is in rads, so converting 140° to rads, we have

140° x (pi/180°) = about 2.44 rads....so we have..

A = (1/2)(35m)²(2.44) = 1494.5m²

First, find Θ

s =rΘ

14 = 25Θ

So Θ = 14/25 rads

A = (1/2)r²Θ

A = (1/2)(25cm)² (14/25) = 7(25)cm² = 175cm²

Using

s = rΘ  

We have

15 = 30Θ    divide both sides by 30

1/2 = Θ         and this is in radians

So, converting rads to degrees, we have

1/2rads x (180°/pi rads) ≈ 28.65°

(4+x)(3)+(x)(41)=(8)(x-2)   simplify

12 + 3x + 41x = 8x - 16       combine like term

12 + 44x = 8x - 16              subtract 8x from both sides and subtract 12 from both sides

36x = -28                            divide both sides by 3

 x = -28/36 = -7/9

Remember that -6² is really (-1)6² = (-1)36 = -36

But, (-6)²  = (-1*6)² = (-1)² * (6)²  = 1 * 36 = 36

See the difference ???

Do you want to factor 147 ??  If so, we have

49 * 3 =

7² * 3

The series is given by:

7(1.1)^n-1  

So the 4th term is

7(1.1)^4-1 =

7(1.1)³ = 9.317

2, 4, 6, 8 10, 12.......

The sum of the first n numbers is given by:  (n)*(n+1)

So, the sum of the first 20 numbers is: (20)*(21)  = 420