a triangular prism, like the one in the example in the picture below, has a volume of the area of the triangle times the length, namely (1/2)bh * L.
now, if b, h and L were tripled, how would the new volume change in relation to the original volume?
![\bf \textit{volume of a triangular prism}\\\\ V=\cfrac{1}{2}bh\cdot L~~ \begin{cases} L=length\\ b=base\\ h=height\\[-0.5em] \hrulefill\\ L=3L\\ b=3b\\ h=3h \end{cases}\implies V=\cfrac{1}{2}(3b)(3h)(3L) \\\\\\ V=(3)(3)(3)\cfrac{1}{2}bh\cdot L\implies \stackrel{\textit{27 times that of the orginal}}{V=27\left( \cfrac{1}{2}bh\cdot L \right)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20triangular%20prism%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B1%7D%7B2%7Dbh%5Ccdot%20L~~%0A%5Cbegin%7Bcases%7D%0AL%3Dlength%5C%5C%0Ab%3Dbase%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0AL%3D3L%5C%5C%0Ab%3D3b%5C%5C%0Ah%3D3h%0A%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B1%7D%7B2%7D%283b%29%283h%29%283L%29%0A%5C%5C%5C%5C%5C%5C%0AV%3D%283%29%283%29%283%29%5Ccfrac%7B1%7D%7B2%7Dbh%5Ccdot%20L%5Cimplies%20%5Cstackrel%7B%5Ctextit%7B27%20times%20that%20of%20the%20orginal%7D%7D%7BV%3D27%5Cleft%28%20%5Ccfrac%7B1%7D%7B2%7Dbh%5Ccdot%20L%20%5Cright%29%7D)
Answer:
The correct option is a)
05; .73; .27 , type 1 error, type 11 error and the power of the test respectively.
Step-by-step explanation:
Alpha is the probability of a type 1 error, given the null hypothesis is true. Therefore alpha= 0.05
Type 11 error is the probability of accepting a false null hypothesis.
Beta= 0.73
The Power of a test is the probability of rejecting the null hypothesis, given it is false
Power= 1- beta
Power= 1-0.73
Power= 0.27
Therefore the type 1 error is 0.05
The type 11 error is= 0.73
The power of the test= 0.27
The right option is a)
Hello Alexgator88,
If there are four sections of rope and each piece is 16 inches long then we know that 16 times 4 is 64.
So your answer is 64 inches long.
~Naterator
Please Thank and Rate If This Was Helpful <3
Answer:
A=0
Step-by-step explanation:
i think this is right if not im so sorry
Answer:
3x + 33y= -420 and x + 140 = -11y
Step-by-step explanation: