Answer:
The formula for volume of a cone is area of a circle times height, divided by 3.
Therefore volume is pi times radius squared times height, divided by 3.
V = (3.14)(14)^2 (14)/3
V = (3.14) (196)(14)/3
V = (3.14) (2744)/3
V = 8616.16/3
V = 2872.05333
to the nearest hundredth is 2872.05 cubic yards.
Step-by-step explanation:
has two points of discontinuity at
, where
.
We have
![\dfrac{x+1}{x^2-1}=\dfrac{x+1}{(x+1)(x-1)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B1%7D%7Bx%5E2-1%7D%3D%5Cdfrac%7Bx%2B1%7D%7B%28x%2B1%29%28x-1%29%7D)
so as long as
, we can cancel
and be left with
. Then as
, we have
![\displaystyle\lim_{x\to-1}f(x)=\lim_{x\to-1}\frac1{x-1}=-\frac12](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto-1%7Df%28x%29%3D%5Clim_%7Bx%5Cto-1%7D%5Cfrac1%7Bx-1%7D%3D-%5Cfrac12)
The limit exists, so the discontinuity at -1 is removable (so definitely not C or D).
Meanwhile,
![\displaystyle\lim_{x\to1}f(x)=\lim_{x\to1}\frac1{x-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto1%7Df%28x%29%3D%5Clim_%7Bx%5Cto1%7D%5Cfrac1%7Bx-1%7D)
does not exist, so the discontinuity at 1 is non-removable, making A the correct answer.
The answer would be A -1/8+3/16. This is because the -1/2 is distributed to the parenthesis. So -1/2x1/4 would be -1/8 and -1/2x-3/8 makes it a positive and 3/16
<u>Parallelogram</u>
Answer:
solution given:
properties of parallelogram:
- diagonal bisect each other
- diagonal are CONGRUENT
- at least two pair of opposite sides are CONGRUENT
- the diagonal are not perpendicular.
The answer is a
(ignore this i don’t have enough characters)