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![\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}](https://tex.z-dn.net/?f=%5Cdiamond%5Clarge%5Cblue%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7BQuestion%3A-%7D%7D%7D)
✳︎ 5-3x=-10. what is x?
![\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}](https://tex.z-dn.net/?f=%5Cdiamond%5Clarge%5Cblue%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7B%5Cunderline%7BAnswer%20and%20how%20to%20solve%3A-%7D%7D%7D%7D)
➪ First, subtract 5 on both sides:-
-3x=-10-5
❒ Which simplifies to:-
✩ -3x=-15
Divide by -3 on both sides:-
✩ x=5
So we conclude that the value of x is 5.
<h3>Good luck.</h3>
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True statements : 2nd one and 4th one
factored completely : 3rd one and 4th one
Answer:
![\large\boxed{3.\ V\approx130.88\ m^3}\\\boxed{4.\ V\approx35.21}\\\boxed{6.\ V\approx1.06\ in^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B3.%5C%20V%5Capprox130.88%5C%20m%5E3%7D%5C%5C%5Cboxed%7B4.%5C%20V%5Capprox35.21%7D%5C%5C%5Cboxed%7B6.%5C%20V%5Capprox1.06%5C%20in%5E3%7D)
Step-by-step explanation:
3.
The formula of a volume of a sphere:
![V=\dfrac{4}{3}\pi R^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20R%5E3)
R - radius
We have R = 3.15 m. Substitute:
![V=\dfrac{4}{3}\pi(3.15)^3\approx\dfrac{4}{3}\pi(31.26)\approx\dfrac{4}{3}(3.14)(31.26)\approx130.88\ m^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%283.15%29%5E3%5Capprox%5Cdfrac%7B4%7D%7B3%7D%5Cpi%2831.26%29%5Capprox%5Cdfrac%7B4%7D%7B3%7D%283.14%29%2831.26%29%5Capprox130.88%5C%20m%5E3)
4.
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have 2r = 11.6 → r = 5.8 and H = x. Substitute:
![V=\dfrac{1}{3}\pi(5.8)^2(x)=\dfrac{1}{3}\pi(33.64)x\approx\dfrac{1}{3}(3.14)(33.64)x\approx35.21](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%285.8%29%5E2%28x%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2833.64%29x%5Capprox%5Cdfrac%7B1%7D%7B3%7D%283.14%29%2833.64%29x%5Capprox35.21)
6.
The formula of a volume of a cube:
![V=s^3](https://tex.z-dn.net/?f=V%3Ds%5E3)
s - edge
We have s = 1.02 in. Substitute:
![V=(1.02)^3\approx1.06\ in^3](https://tex.z-dn.net/?f=V%3D%281.02%29%5E3%5Capprox1.06%5C%20in%5E3)
Answer:
Yes
Step-by-step explanation: