Answer:
it is geometric because it multiplies by a factor of 3
I think its 10,000 pounds, you can use a tons to pounds caculator to check
Answer: The answer is 314.28 cm² (approx.).
Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.
We need to find the area 'A' of the circular cross-section of the pipe.
Given, diameter of the circular section is
![\textup{d}=20~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Bd%7D%3D20~%5Ctextup%7Bcm%7D.)
So, the radius of the circular cross-section will be
![\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.](https://tex.z-dn.net/?f=%5Ctextup%7Br%7D%3D%5Cdfrac%7B%5Ctextup%7Bd%7D%7D%7B2%7D%3D%5Cdfrac%7B20%7D%7B2%7D%3D10~%5Ctextup%7Bcm%7D.)
Therefore, cross-sectional area of the pipe is
![\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.](https://tex.z-dn.net/?f=%5Ctextup%7BA%7D%3D%5Cpi%20%5Ctextup%7Br%7D%5E2%3D%5Cdfrac%7B22%7D%7B7%7D%2810%29%5E2%3D%5Cdfrac%7B2200%7D%7B7%7D%3D314%5Cdfrac%7B2%7D%7B7%7D%3D314.28~.~.~.~%5Ctextup%7Bcm%7D%5E2.)
Thus, the answer is 314.28 cm² (approx.).
The correct option will be : B) 6 cm.
<u><em>Explanation</em></u>
Suppose, the width of the rectangle is
cm.
As, the length is 6 cm longer than the width, so the length will be: ![(x+6) cm.](https://tex.z-dn.net/?f=%28x%2B6%29%20cm.)
<u>Formula for the Area of rectangle</u> is:
Given that, the area of a rectangle is 72 cm²
So....
![x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0](https://tex.z-dn.net/?f=x%28x%2B6%29%3D72%5C%5C%20%5C%5C%20x%5E2%2B6x-72%3D0%5C%5C%20%5C%5C%20%28x%2B12%29%28x-6%29%3D0)
Using zero-product property, we will get...
<em>(Negative value is ignored as width can't be negative)</em>
and
![x-6=0\\ x=6](https://tex.z-dn.net/?f=x-6%3D0%5C%5C%20x%3D6)
So, the width of the rectangle is 6 cm.
Answer:
7/9 = 42/n.
7n = 378,
n = 54.
Step-by-step explanation: