Answer: ![1250\ m^2](https://tex.z-dn.net/?f=1250%5C%20m%5E2)
Step-by-step explanation:
Let x= Total land.
Then for Maize =
For Potatoes = ![\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x](https://tex.z-dn.net/?f=%5Cdfrac15%28x-%5Cdfrac%20%7Bx%7D%7B3%7D%29%3D%5Cdfrac15%28%5Cdfrac%7B2x%7D%7B3%7D%29%3D%5Cdfrac%7B2%7D%7B15%7Dx)
For beans = ![x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha](https://tex.z-dn.net/?f=x-%20%28%5Cdfrac%7Bx%7D%7B3%7D%2B%5Cdfrac%7B2%7D%7B15%7Dx%29%3D0.5%20%5C%20ha)
![\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha](https://tex.z-dn.net/?f=%5CRightarrow%5C%20x-%20%28%5Cdfrac%7B5x%2B2x%7D%7B15%7D%29%3D0.5%20%5C%20ha%5C%5C%5C%5C%5CRightarrow%5C%20x-%20%28%5Cdfrac%7B7x%7D%7B15%7D%29%3D0.5%20%5C%20ha%5C%5C%5C%5C%5CRightarrow%5C%20%20%5Cdfrac%7B15x-7x%7D%7B15%7D%3D0.5%20%5C%20ha%5C%5C%5C%5C%5CRightarrow%5C%20%20%5Cdfrac%7B8x%7D%7B15%7D%3D0.5%20%5C%20ha%5C%5C%5C%5C%5CRightarrow%5C%20%20x%3D0.5%5Ctimes%5Cdfrac%7B15%7D%7B8%7D%20%5C%20ha%5C%5C%5C%5C%5CRightarrow%5C%20%20x%3D0.9375%20%5C%20ha)
1 ha = 10000.00 m²
0.9375 ha = 9375 m²
Land for potatoes = ![\dfrac{2}{15}(9375) =1250\ m^2](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B15%7D%289375%29%20%3D1250%5C%20m%5E2)
Hence,
of the land is on potatoes.
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
![\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28u%29cos%28v%29-sin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D)
Split the fraction:
![\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28u%29cos%28v%29%7D%7Bsin%28u%29cos%28v%29%7D%20-%20%5Cfrac%7Bsin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D%20%3D)
First fraction reduces to 1:
![1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7Bsin%28v%29cos%28u%29%7D%7Bsin%28u%29cos%28v%29%7D%20%3D)
Simpify each with common arguments:
![1 - tan(v)cot(u)](https://tex.z-dn.net/?f=1%20-%20tan%28v%29cot%28u%29)
Answer:
$0.26
Step-by-step explanation:
To find the unit price, divide the cost by the amount you have.
$2.86/11 = $0.26
The unit price is $0.26.
The solution to that equation is (6,-4)
Answer:
If you cube the numbers in the left column, you get the numbers in the right column! We can figure this out by understanding that 1^3 = 1, 3^3 = 27, and 6^3 = 216. Then it all falls into place!
1 -> 1
2 -> 8
3 -> 27
5 -> 125
6 -> 216
11 -> 1331
8 -> 512
10 -> 1000
7 -> 343
14 -> 2744
p -> ![p^{2}](https://tex.z-dn.net/?f=p%5E%7B2%7D)
-> q