Answer: B
Step-by-step explanation:
Volume formula: 1/3pir^2h
From this, 1/3(pi)(8^2)(15)= 1005.3
This is not a answer choice but… 1004.8 is the best choice they might have used 3.14 instead of the full pi
Hope this helps
The answer is magnificent
Judging by the model I would assume that ΔDBC is congruent to ΔDBA.
Thus, line CD should be congruent to line AD as well, which the solution should be line CD=13 units.
Answer:
![y=\frac{3}{2}x+(-14)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7Dx%2B%28-14%29)
Step-by-step explanation:
Equation of a line has been given as,
--------(1)
Slope of the line is,
![m_1=-\frac{2}{3}](https://tex.z-dn.net/?f=m_1%3D-%5Cfrac%7B2%7D%7B3%7D)
By the property of perpendicular lines,
If the two lines having slopes
and
are perpendicular to each other, ![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
Therefore, slope of the line perpendicular to the line (1) will be,
![-\frac{2}{3}\times m_2=-1](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20m_2%3D-1)
![m_2=\frac{3}{2}](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B3%7D%7B2%7D)
If this line passes through a point (4, -8) equation of the line will be,
![y-y'=m_2(x-x')](https://tex.z-dn.net/?f=y-y%27%3Dm_2%28x-x%27%29)
![y+8=\frac{3}{2}(x-4)](https://tex.z-dn.net/?f=y%2B8%3D%5Cfrac%7B3%7D%7B2%7D%28x-4%29)
![y=\frac{3}{2}x-6-8](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7Dx-6-8)
![y=\frac{3}{2}x-14](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7Dx-14)