Answer:
The answer is: 
Step-by-step explanation:
we are asked to subtract
from 
so,
.
Hence the desired result is:
.
length of pipe= 30m
Inside dia. = 1.2m
Outside dia. = 1.8m
Volume of concrete= (outside dia. - inside dia.)h
V= (pi)
v= [(3.14*0.9*0.9)-(3.14*0.6*0.6)]30
v= (3.3534-1.1304)30
v=(2.233)30 = 66.690m cube
since it's volume the answer 66.690 is in cubic meters.
The final answer should be -49/168.
Answer:

Step-by-step explanation:
Let's follow up with the solution. Considering a triangle with the vertices
,
and
, have a look at the representation in the cartesian plan.
From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

So, applying this knowledge we're going to have,

![\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]](https://tex.z-dn.net/?f=%20%5Cmathsf%7BA%7D%20%5Ctriangle%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%20%20%5Cleft.%5Cbegin%7Barray%7D%7Bccc%7D%20%20%203%20%26%20-7%20%26%201%20%5C%5C%206%20%26%20%204%20%26%201%20%5C%5C%20-2%26%20%20-3%20%26%201%20%5Cend%7Barray%7D%20%20%5Cright%7C%20%5Cbegin%7Barray%7D%7Bcc%7D%203%20%26%20-7%20%5C%5C%206%20%26%204%20%5C%5C%20-2%20%26%20-3%20%5Cend%7Barray%7D%20%5Cright%5D%20)


Hope you enjoy it, see ya!)
Mozambique, Maputo – Matola City – T-3
DavidJunior17