Answer:
81
Step-by-step explanation:
3x3x3x3 do it four times to get the answer
Let , missing value(_)=A
As, it is given that ,
![CosA=\frac{6}{19}\\\\ Cos A=0.3158\\\\ A=72 {\text{Degree}}](https://tex.z-dn.net/?f=CosA%3D%5Cfrac%7B6%7D%7B19%7D%5C%5C%5C%5C%20Cos%20A%3D0.3158%5C%5C%5C%5C%20A%3D72%20%7B%5Ctext%7BDegree%7D%7D)
To convert the value of A into Radians,
360°=2 π Radians
![1 {\text{degree}}=\frac{\pi}{180}\\\\72 {\text{Degree}} =\frac{72\times 22}{180 \times 7}\\\\=1.2571](https://tex.z-dn.net/?f=1%20%7B%5Ctext%7Bdegree%7D%7D%3D%5Cfrac%7B%5Cpi%7D%7B180%7D%5C%5C%5C%5C72%20%7B%5Ctext%7BDegree%7D%7D%20%3D%5Cfrac%7B72%5Ctimes%2022%7D%7B180%20%5Ctimes%207%7D%5C%5C%5C%5C%3D1.2571)
So, missing value to the nearest hundredth= 1.26 Radians
Answer:
<h3>
f(x) = 5x² + 2x</h3><h3>
g(x) = 6x - 6</h3>
Step-by-step explanation:
![\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6](https://tex.z-dn.net/?f=%5Cdfrac%7B5x%5E3-8x%5E2-4x%7D%7B6x%5E2-18x%2B12%7D%5C%5C%5C%5C6%28x%5E2-3x%2B2%29%5Cne0%5C%20%5Ciff%5C%20x%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B9-8%7D%7D%7B2%7D%5Cne0%5C%20%5Ciff%5C%20x%5Cne2%5C%20%5Cwedge%5C%20x%5Cne1%5C%5C%5C%5C%5C%5C%5Cdfrac%7B5x%5E3-8x%5E2-4x%7D%7B6x%5E2-18x%2B12%7D%3D%5Cdfrac%7Bx%285x%5E2-8x-4%29%7D%7B6%28x%5E2-3x%2B2%29%7D%3D%5Cdfrac%7Bx%285x%5E2-10x%2B2x-4%29%7D%7B6%28x%5E2-2x-x%2B2%29%7D%3D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5B5x%28x-2%29%2B2%28x-2%29%5D%7D%7B6%5Bx%28x-2%29-%28x-2%29%5D%7D%20%3D%5Cdfrac%7Bx%28x-2%29%285x%2B2%29%7D%7B6%28x-2%29%28x-1%29%7D%3D%5Cdfrac%7Bx%285x%2B2%29%7D%7B6%28x-1%29%7D%3D%5Cdfrac%7B5x%5E2%2B2x%7D%7B6x-6%7D%5C%5C%5C%5C%5C%5Cf%28x%29%3D5x%5E2%2B2x%5C%5C%5C%5Cg%28x%29%3D6x-6)
Hi There ^^
Answer :- ( B ) 81 π cubic feet
Explaination :-
![We \: \: are \: \: given \: \: that \\ \\ \: \\ \: Height \: = \: 9 \: feet \\ \\ \\Diameter \: = \: 6 \: feet \\ \\ \\radius = 3 feet \\ \\ \\ Volume \: \: = \pi {r}^{2} h \\ \\ = \pi \times 3 \times 3 \times 9 \\ \\ = 81\pi \: {feet}^{3}](https://tex.z-dn.net/?f=We%20%5C%3A%20%5C%3A%20%20%20are%20%20%5C%3A%20%20%5C%3A%20given%20%20%5C%3A%20%20%5C%3A%20that%20%20%5C%5C%20%20%5C%5C%20%20%5C%3A%20%5C%5C%20%5C%3A%20Height%20%20%5C%3A%20%3D%20%20%20%5C%3A%209%20%20%5C%3A%20feet%20%5C%5C%20%20%5C%5C%20%5C%5CDiameter%20%5C%3A%20%20%3D%20%20%5C%3A%206%20%5C%3A%20%20feet%20%20%5C%5C%20%20%5C%5C%20%5C%5Cradius%20%3D%20%203%20feet%20%5C%5C%20%20%20%5C%5C%20%20%5C%5C%20Volume%20%5C%3A%20%20%5C%3A%20%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%20%5C%5C%20%20%5C%5C%20%20%3D%20%5Cpi%20%5Ctimes%203%20%5Ctimes%203%20%5Ctimes%209%20%5C%5C%20%20%5C%5C%20%20%3D%2081%5Cpi%20%5C%3A%20%20%7Bfeet%7D%5E%7B3%7D%20%20)
Thanks
Answer:
D. 2 and 5
(Just so you know, I'm not 100% sure this is right but I'm pretty sure I've answered this exact problem before)
Step-by-step explanation:
You have to look at the intersection points between the two lines. The x values are going to be the solution, and in this case line g(x) intersects f(x) at (2,-1) and (5,-4) so you take the x values and have your solutions.