The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
4x² - (2x + 3)²
4x² - (2x + 3)(2x + 3)
4x² - (2x(2x + 3) + 3(2x + 3))
4x² - (2x(2x) + 2x(3) + 3(2x) + 3(3))
4x² - (4x² + 6x + 6x + 9)
4x² - (4x² + 12x + 9)
4x² - 4x² - 12x - 9
-12x - 9
-3(4x) - 3(3)
-3(4x + 3)
Answer:
Utility's percent Change from 2010 to 2020 = 7%
Step-by-step explanation:
Jobs available at the utility industry in 2010= 428.5 thousand
Average rate of decline = 3 thousand
Years between 2010 and 2020
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
Total change in jobs:
There are 10 years between 2010 and 2020
Jobs decline at an average of 3 thousand per year
Total change in jobs= 10 years × 3 thousand
= 30 thousand
Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100
= 30 thousand / 428.5 thousand × 100
= 0.07 × 100
= 7%
Utility's percent Change from 2010 to 2020 = 7%
A pythagoras triplet is a set of three numbers ... not just any three numbers,
but a set where the (square of one of them) is the sum of the (squares of the
other two).
If they're related in that way, then they can be the lengths of the sides of a
right triangle.
If they're not, then they can't.
Just add the numbers of the groups 20-34 years and 35-49 years