Move all terms not containing z to the right side of the equation.
Z=5
Therefore it is inconsistent
Answer:
? = 58°
Step-by-step explanation:
Angles subtended by tangents and radii of a circle are supplementary, so
? + 122° = 180° ( subtract 122° from both sides )
? = 58°
First plane: y = 500x + 1000
Second plane: y = 550x
Distance: 3100 = 500x + 1000 + 550x
2100 = 1050x
x = 2
Please consider the diagram of cylinder.
We have been given that the mass of the cylinder is 50000 g. We are asked to find the density of the cylinder.
![\text{Density}=\frac{\text{Mass}}{\text{Volume}}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%7D%3D%5Cfrac%7B%5Ctext%7BMass%7D%7D%7B%5Ctext%7BVolume%7D%7D)
Let us find the volume of our given cylinder.
, where
r = Radius,
h = Height.
We know that radius is half the diameter, so radius of given cylinder would be
mm.
![V=\pi\cdot(14 \text{ mm})^2\cdot 30\text{ mm}](https://tex.z-dn.net/?f=V%3D%5Cpi%5Ccdot%2814%20%5Ctext%7B%20mm%7D%29%5E2%5Ccdot%2030%5Ctext%7B%20mm%7D)
![V=\pi\cdot 196\text{ mm}^2\cdot 30\text{ mm}](https://tex.z-dn.net/?f=V%3D%5Cpi%5Ccdot%20196%5Ctext%7B%20mm%7D%5E2%5Ccdot%2030%5Ctext%7B%20mm%7D)
![V=\pi\cdot 5880\text{ mm}^3](https://tex.z-dn.net/?f=V%3D%5Cpi%5Ccdot%205880%5Ctext%7B%20mm%7D%5E3)
![V=18472.5648031\text{ mm}^3](https://tex.z-dn.net/?f=V%3D18472.5648031%5Ctext%7B%20mm%7D%5E3)
![\text{Density}=\frac{50000\text{ g}}{18472.5648031\text{ mm}^3}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%7D%3D%5Cfrac%7B50000%5Ctext%7B%20g%7D%7D%7B18472.5648031%5Ctext%7B%20mm%7D%5E3%7D)
![\text{Density}=2.7067167192510906\cdot \frac{\text{g}}{\text{ mm}^3}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%7D%3D2.7067167192510906%5Ccdot%20%5Cfrac%7B%5Ctext%7Bg%7D%7D%7B%5Ctext%7B%20mm%7D%5E3%7D)
![\text{Density}\approx2.7\frac{\text{g}}{\text{ mm}^3}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%7D%5Capprox2.7%5Cfrac%7B%5Ctext%7Bg%7D%7D%7B%5Ctext%7B%20mm%7D%5E3%7D)
Therefore, the density of the cylinder is approximately 2.7 gram per cubic mm.