57 miles about I'm not positive but I think this is right
This algebra lesson explains geometric series<span>. ... To </span>find<span> the sum of the first n terms of a geometric sequence: Sn = the summation of ... 5 , -</span>10<span> , </span>20<span> , -</span>40<span> , 80 , .</span>
Answer:
3x^2+27y^2-18xy
Step-by-step explanation:
3(x-3y)^2
3 [(x-3y)(x-3y)]
3 [x^2-3xy-3xy+9y^2]
3 [x^2-6xy+9y^2]
open d bracket
3x^2-18xy+27y^2
rearrange
3x^2+27y^2-18xy
Answer:
The volume of the prism is 576 cubic feet
Step-by-step explanation:
Length of rectangular prism = 8 feet
Width of rectangular prism = 6 feet
Height of rectangular prism = 12 feet
Volume of rectangular prism = 
Volume of rectangular prism =
Volume of rectangular prism =
Hence the volume of the prism is 576 cubic feet
We first approach this problem by illustrating the situation. Refer to the diagram attached.
From the diagram, we can clearly see that we need to simply solve for the length marked x in order to find the distance between the foot of the ladder to the base of the wall.
Remember SOHCAHTOA. We can apply here the concept of cosine since we have the angle. Incorporationg x into the equation, we can simply make use of the relation cosine 72° = adjacent/hypotenuse.


ANSWER: The distance between the foot of the ladder and the base of the wall is 4.6 feet.