a)
Check the picture below.
b)
volume wise, we know the smaller pyramid is 1/8 th of the whole pyramid, so the volume of the whole pyramid must be 8/8 th.
Now, if we take off 1/8 th of the volume of whole pyramid, what the whole pyramid is left with is 7/8 th of its total volume, and that 7/8 th is the truncated part, because the 1/8 we chopped off from it, is the volume of the tiny pyramid atop.
Now, what's the ratio of the tiny pyramid to the truncated bottom?
![\stackrel{\textit{\Large Volumes}}{\cfrac{\textit{small pyramid}}{\textit{frustum}}\implies \cfrac{~~\frac{1}{8}whole ~~}{\frac{7}{8}whole}}\implies \cfrac{~~\frac{1}{8} ~~}{\frac{7}{8}}\implies \cfrac{1}{8}\cdot \cfrac{8}{7}\implies \cfrac{1}{7}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5CLarge%20Volumes%7D%7D%7B%5Ccfrac%7B%5Ctextit%7Bsmall%20pyramid%7D%7D%7B%5Ctextit%7Bfrustum%7D%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B1%7D%7B8%7Dwhole%20~~%7D%7B%5Cfrac%7B7%7D%7B8%7Dwhole%7D%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B1%7D%7B8%7D%20~~%7D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B8%7D%5Ccdot%20%5Ccfrac%7B8%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B7%7D)
Answer:
I think it is commutative
Step-by-step explanation:
because commute means move so I think that's what it is
5 years because when you divide 90 by 18 to get how many years it takes the tree to grow to 90 inches tall, you get 5.
Answer:
![x = 27](https://tex.z-dn.net/?f=x%20%3D%2027)
Step-by-step explanation:
Angle A and angle E are the same value, therefore you could replace angle E with angle A. So that would make a triangle with angle C, angle D, and angle A. Knowing the sum of all angles in a triangle is 180, we can make an equation representing this.
![3x - 10 + 2x + 10 + 45 = 180](https://tex.z-dn.net/?f=3x%20-%2010%20%20%2B%202x%20%2B%2010%20%2B%2045%20%3D%20180)
Now simply silve the equation to find x.
![5x + 45 = 180 \\ 5x = 135 \\ x = 27](https://tex.z-dn.net/?f=5x%20%2B%2045%20%3D%20180%20%5C%5C%205x%20%3D%20135%20%5C%5C%20x%20%3D%2027)
There is your answer.
The answer & explanation for this question is given in the attachment below.