Answer:
d) √2/2
Step-by-step explanation:
cos∠E= 5/5√2= 1/√2=√2/2
Correct option is d)√2/2
Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.
![\text{Two-thirds}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7BTwo-thirds%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![\text{Two-thirds}=\frac{2\times2}{3\times2}](https://tex.z-dn.net/?f=%5Ctext%7BTwo-thirds%7D%3D%5Cfrac%7B2%5Ctimes2%7D%7B3%5Ctimes2%7D)
![\text{Two-thirds}=\frac{4}{6}](https://tex.z-dn.net/?f=%5Ctext%7BTwo-thirds%7D%3D%5Cfrac%7B4%7D%7B6%7D)
![\text{Three-sixth}=\frac{3}{6}](https://tex.z-dn.net/?f=%5Ctext%7BThree-sixth%7D%3D%5Cfrac%7B3%7D%7B6%7D)
Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
Answer:
![26x^6y^4](https://tex.z-dn.net/?f=26x%5E6y%5E4)
Step-by-step explanation:
the volume is like
![V = length\cdot width\cdot depth](https://tex.z-dn.net/?f=V%20%3D%20length%5Ccdot%20width%5Ccdot%20depth)
so we have
![V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4](https://tex.z-dn.net/?f=V%3D%204yx%5E5%5Ccdot%203xy%5Ccdot%202y%5E2%5C%5C%5C%5CV%3D%284%5Ccdot%203%5Ccdot%202%29%28y%5Ccdot%20y%20%5Ccdot%20y%5E2%29%28x%5E5%20%5Ccdot%20x%29%5C%5C%5C%5CV%20%3D%2024%28y%5E4%29%28x%5E6%29%5C%5C%5C%5CV%3D24x%5E6y%5E4)
.19 seconds
This is because 12.38-12.19= .19