Answer:
quadrilateral ABCD is not congruent to quadrilateral KLMN. quadrilateral ABCD cannot be mapped onto quadrilateral KLMN through a series of rotations, reflections or translations.
Find the total of male students:
4 + 6 + 2 + 2 = 14 total males.
There are 2 male juniors.
The probability of a male being a junior is 2/14 = 1/7 = 0.143 = 14.3 = 14%
Calculate the volume of the cylinder in square feet.
Pi•r^2•h
3.14•2^2•6
3.14•4•6
3.14•24
Then multiply by 62.5 lbs/ft^2
3.14•24•62.5
Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:
![V_1=13,824ft^3\\V_2=216ft^3](https://tex.z-dn.net/?f=V_1%3D13%2C824ft%5E3%5C%5CV_2%3D216ft%5E3)
By Similar solids theorem, if two similar solids have a scale factor of
, then corresponding volumes have a ratio of ![\frac{a^3}{b^3}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D)
Then:
![\frac{V_1}{V_2}=\frac{a^3}{b^3}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D)
Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
Answer:
0.45pound
Step-by-step explanation:
Since it's given Maggi buys 3/4 pounds of blueberry,it's means 3/4*1 .i.e. 0.75 pound and he uses 3/5 of 0.75 pound then it would be 3/5*0.75 .ie 0.45 pound