A building in a city has a rectangular base. The length of the base measures 70 ft less than twice the width. The perimeter of this base is 820 ft. What are the dimensions of the base?

160 ft, 250ft

Step-by-step explanation:

Rectangular base:

Width = w

length =2w - 70

Perimeter = 820 ft

2*(length + width) = 820

2*(2w - 70 + w ) = 820

2 *(2w + w - 70) = 820     {Combine like terms}

2* (3w - 70) = 820

3w*2 - 70*2 = 820

6w - 140  = 820    

6w  = 820 + 140     {Add 140 to both side}

6w = 960     {Divide both sides by 6}

w = 960/6

w = 160 ft

length = 2*160 - 70

          = 320 - 70

          = 250 ft

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

i would be happy to . most people on would also love to i'm sure. if you just want someone who has done algebra before and want a little more personal relationship than just begging strangers for , i can certainly be of service. i do have college myself so i might not be 24/7.