C. 14.14 cu in.
V=4/3(3.14)r^3
V=4/3 (3.14)1.5^3
V=14.14
This is the triangular prism
Answer:
Reference angle will be ![60^{\circ}](https://tex.z-dn.net/?f=60%5E%7B%5Ccirc%7D)
![cos(1680)=\frac{-1}{2}](https://tex.z-dn.net/?f=cos%281680%29%3D%5Cfrac%7B-1%7D%7B2%7D)
![sin(1680)=-0.866](https://tex.z-dn.net/?f=sin%281680%29%3D-0.866)
Step-by-step explanation:
We have given
It can be written as
As 240° is lie in the third quadrant
And we know that for third quadrant
Reference angle is given by ![angle-180^{\circ}](https://tex.z-dn.net/?f=angle-180%5E%7B%5Ccirc%7D)
So reference angle will be ![240^{\circ}-180^{\circ}=60^{\circ}](https://tex.z-dn.net/?f=240%5E%7B%5Ccirc%7D-180%5E%7B%5Ccirc%7D%3D60%5E%7B%5Ccirc%7D)
Now ![cos(1640)=cos(9\pi +60)=-cos60=\frac{-1}{2}](https://tex.z-dn.net/?f=cos%281640%29%3Dcos%289%5Cpi%20%2B60%29%3D-cos60%3D%5Cfrac%7B-1%7D%7B2%7D)
![sin(1640)=cos(9\pi +60)=-sin60=-0.866](https://tex.z-dn.net/?f=sin%281640%29%3Dcos%289%5Cpi%20%2B60%29%3D-sin60%3D-0.866)
Answer:
x = 2000
y = 30000
y-intercept = 30000
slope = 15
one point = (2000 , 30000)
that is as far as I got. Sorry that I couldn't help more. :C
Step-by-step explanation:
Step-by-step explanation:
a) fg(x) = f(x²-1) = 2(x²-1) + 3
= 2x² + 1
b) gf(x) = (2x+3)² - 1
= 4x² + 12x + 9 - 1
= 4x² + 12x + 8
c) fg(2) replace the value in a)
fg(2) = 2(2²) + 1
= 9