Ouch! That is hard but I can do it. First, find the area of the triangle. (for both is 60) Then find the area of the rectangle (base) which is 48. Then do the rectangles on the sides which are 72 each (for both is 144) Then add it all together and get 252 ft squared or cubed.
To simplify
![\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cdfrac%7B24x%5E6y%7D%7B128x%5E4y%5E5%7D%7D)
we need to use the fact that
![\sqrt[4]{x^4}=|x|](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%3D%7Cx%7C)
Why the absolute value? It's because 
.
We start by rewriting as
![\sqrt[4]{\dfrac{2^23x^6y}{2^6x^4y^5}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cdfrac%7B2%5E23x%5E6y%7D%7B2%5E6x%5E4y%5E5%7D%7D)
![\sqrt[4]{\dfrac{2^23x^4x^2y}{2^42^2x^4y^4y}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cdfrac%7B2%5E23x%5E4x%5E2y%7D%7B2%5E42%5E2x%5E4y%5E4y%7D%7D)
Since 
, we have 
, and the above reduces to
![\sqrt[4]{\dfrac{3x^2y}{2^4y^4y}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cdfrac%7B3x%5E2y%7D%7B2%5E4y%5E4y%7D%7D)
Then we pull out any 4th powers under the radical, and simplify everything we can:
![\dfrac1{\sqrt[4]{2^4y^4}}\sqrt[4]{\dfrac{3x^2y}{y}}](https://tex.z-dn.net/?f=%5Cdfrac1%7B%5Csqrt%5B4%5D%7B2%5E4y%5E4%7D%7D%5Csqrt%5B4%5D%7B%5Cdfrac%7B3x%5E2y%7D%7By%7D%7D)
![\dfrac1{|2y|}\sqrt[4]{3x^2}](https://tex.z-dn.net/?f=%5Cdfrac1%7B%7C2y%7C%7D%5Csqrt%5B4%5D%7B3x%5E2%7D)
where 
allows us to write 
, and this also means that 
. So we end up with
![\dfrac{\sqrt[4]{3x^2}}{2y}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B4%5D%7B3x%5E2%7D%7D%7B2y%7D)
making the last option the correct answer.
<span>The mid-point or the number that divides a series of values into two groups of equal numbers of values is referred to as the median. To get the median value, first sort the numbers from highest to lowest or lowest to highest and then pick the middle number. However, for even numbered sets of numbers, take the average of the two middle numbers and the resulting number is the median. </span>
Answer:
16
Step-by-step explanation:
count each dot
A simulation is a mathematical model used to represent a situation.
- A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.
When we combine two or more simple events we have a compound event
- "Compound" means to combine, like a compound word would be a combination of two words
A Tree Diagram is a diagram that shows all the possible outcomes of an event
- In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.
All the possible outcomes or results is called the sample space
- The outcomes are each different samples, and a sample space is a space that collects each of these samples
When an event is not affected by a previous outcome we have an independent event
- This event is "independent", not affected by other factors, making it an independent event
Let me know if you need any clarifications, thanks!
~ Padoru
