9514 1404 393
Answer:
372 m²
Step-by-step explanation:
A vertical line down the center of the figure will divide it into two congruent trapezoids, each with bases 13 and 18, and height 12.
The area of one of them is ...
A = 1/2(b1 +b2)h
So, the area of the two of them together is ...
A = (2)(1/2)(b1 +b2)h = (b1 +b2)h
A = (13 m + 18 m)(12 m) = 372 m²
Answer:
5%
Step-by-step explanation:
Answer:
x is the variable
Step-by-step explanation:
Answer:
i would be a reflection so the 2nd option
Answer:
.
Step-by-step explanation:
We have been given that a variable force of 
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that 
, where F represents force.
Now, we will integrate both sides of equation as:
Take the constant out:
Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)
Therefore, the work done by the object is .
