CPhill

So L = W + 12

And the perimeter is given by

P = 2( W + L)  = 2(W + W + 12) = 2(2W + 12)   so we have

104cm =2(2W + 12)     divide both sides by 2

52cm = 2W + 12          sobtract 12 from both sides

40cm = 2W       divide by 2 on both sides

20cm = W     and the Length is 12 more = 32cm

A = L x W

176cm² = L x 11cm   divide boyh sides by 11cm

176cm² / 11cm  = L  = 16cm

2/(3x)+4/x=7/(x+1)    getting a common denominator on the left. we have

[2x + 12x] / [3x²] = 7/(x+1)      and cross- multiplying, we have

[ 14x]*[x + 1 ] = 21x² 

x (x + 1) = 3x²

x² + x = (3/2)x²     rearranging, we have

(1/2)x² - x = 0       multiply by 2 on both sides

x² - 2x = 0             factor

x(x -2) = 0   

Then x = 0  or x =2      reject 0, since it makes the two denominators in the original problem undefined

So .....  x = 2

sin 30 = 1/2       (as long as we're dealing with degree measure !!!)

The volume of any cylinder is given by

V = pi*r²*h      where r is the radius and h is the height

x^-3  = 1/(x³)

So

1/(x³) = 1/64         and if two fractions are equal, their reciprocals are also equal

So

x³ = 64         take the cube root of both sides

x = (64)^1/3 = 4

Pur this into the onsite calculator.....if you get a whole number, it must be an integer......!!!

3(x+2)²   when x = -4

3( -4 + 2)² =

3(-2)² =

3*4 =

12

√192 = √(96*2) = √(48*2*2) = √(16*3*4) = √16*√4*√3 = 4*2√3 = 8√3

2pi x 5 pi =  10pi²