Perimiter=legnth +legnth+width+width or
perimiter=2legnth+2width or
perimmiter=2(legnth+widht)
perimiter=2(10+4)
perimiter=2(14)
perimiter=28 feet
Answer:
20/7
Step-by-step explanation:
hope this helps, but basically you divide 20 yards by 7 to get the width of each row
Answer:
(a) ![y = \frac{4}{x^2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7Bx%5E2%7D)
(b) ![x = \frac{2}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Step-by-step explanation:
Given
Variation: Inverse proportional.
This is represented as:
![y\ \alpha\ \frac{1}{x^2}](https://tex.z-dn.net/?f=y%5C%20%5Calpha%5C%20%5Cfrac%7B1%7D%7Bx%5E2%7D)
See attachment for table
Solving (a):
First convert variation to equation
![y = k\frac{1}{x^2}](https://tex.z-dn.net/?f=y%20%3D%20k%5Cfrac%7B1%7D%7Bx%5E2%7D)
From the table:
![(x,y) = (1,4)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%281%2C4%29)
So, we have:
![4 = k * \frac{1}{1^2}](https://tex.z-dn.net/?f=4%20%3D%20k%20%2A%20%5Cfrac%7B1%7D%7B1%5E2%7D)
![4 = k * \frac{1}{1}](https://tex.z-dn.net/?f=4%20%3D%20k%20%2A%20%5Cfrac%7B1%7D%7B1%7D)
![4 = k * 1](https://tex.z-dn.net/?f=4%20%3D%20k%20%2A%201)
![4 = k](https://tex.z-dn.net/?f=4%20%3D%20k)
![k = 4](https://tex.z-dn.net/?f=k%20%3D%204)
Substitute 4 for k in ![y = k\frac{1}{x^2}](https://tex.z-dn.net/?f=y%20%3D%20k%5Cfrac%7B1%7D%7Bx%5E2%7D)
![y = 4 * \frac{1}{x^2}](https://tex.z-dn.net/?f=y%20%3D%204%20%2A%20%5Cfrac%7B1%7D%7Bx%5E2%7D)
![y = \frac{4}{x^2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7Bx%5E2%7D)
Solving (b): x when y = 25.
Substitute 25 for y in ![y = \frac{4}{x^2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7Bx%5E2%7D)
![25 = \frac{4}{x^2}](https://tex.z-dn.net/?f=25%20%3D%20%5Cfrac%7B4%7D%7Bx%5E2%7D)
Cross Multiply
![25 * x^2 = 4](https://tex.z-dn.net/?f=25%20%2A%20x%5E2%20%3D%204)
Divide through by 25
![x^2 = \frac{4}{25}](https://tex.z-dn.net/?f=x%5E2%20%3D%20%5Cfrac%7B4%7D%7B25%7D)
Take positive square roots of both sides
![x = \sqrt{\frac{4}{25}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%5Cfrac%7B4%7D%7B25%7D)
![x = \frac{2}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Answer:
Step-by-step explanation:
Product of b and 2 = 2b
According to the given description:
![2b \geqslant 28 \\ \\ b \geqslant \frac{28}{2} \\ \\ b \geqslant 14](https://tex.z-dn.net/?f=2b%20%5Cgeqslant%2028%20%5C%5C%20%20%5C%5C%20b%20%5Cgeqslant%20%20%5Cfrac%7B28%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20b%20%5Cgeqslant%2014)