The answer is yes, because rhombus =parallelogram answer is yes
<h3>
Answer: 935 tons</h3>
Explanation:
We'll add the last two values to get the amount dug this year.
2786+2862 = 5648
So the farmer dug 5648 tons of potatoes this year.
Subtract that result from the first value given
6583 - 5648 = 935
The farmer dug 935 more tons last year compared to this year.
In other words, the amount has dropped by 935 tons when going from last year to this year.
Answer:
The table can be filled as shown below.
Step-by-step explanation:
The first function is
![f(x)=4x+8](https://tex.z-dn.net/?f=f%28x%29%3D4x%2B8)
Put different values of x and find values of f(x).
For x=-2
![f(-2)=4(-2)+8=0](https://tex.z-dn.net/?f=f%28-2%29%3D4%28-2%29%2B8%3D0)
For x=-1
![f(-1)=4(-1)+8=4](https://tex.z-dn.net/?f=f%28-1%29%3D4%28-1%29%2B8%3D4)
Similarly for x=0,1,2 the value of f(x) are 8,12,16 respectively.
The second function is
![f(x)=\frac{2}{3}x+8](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B2%7D%7B3%7Dx%2B8)
For x= -6
![f(-6)=\frac{2}{3}(-6)+8=4](https://tex.z-dn.net/?f=f%28-6%29%3D%5Cfrac%7B2%7D%7B3%7D%28-6%29%2B8%3D4)
For x= -3
![f(-3)=\frac{2}{3}(-3)+8=6](https://tex.z-dn.net/?f=f%28-3%29%3D%5Cfrac%7B2%7D%7B3%7D%28-3%29%2B8%3D6)
Similarly for x=0,3,6 the value of f(x) are 8,10,12 respectively.
The third function is
![f(x)=5^{x-2}+7](https://tex.z-dn.net/?f=f%28x%29%3D5%5E%7Bx-2%7D%2B7)
For x= 2
![f(2)=5^{2-2}+7=8](https://tex.z-dn.net/?f=f%282%29%3D5%5E%7B2-2%7D%2B7%3D8)
For x= 3
![f(3)=5^{3-2}+7=12](https://tex.z-dn.net/?f=f%283%29%3D5%5E%7B3-2%7D%2B7%3D12)
Similarly for x=4,5,6 the value of f(x) are 32,132,632 respectively.
The fourth function is
![f(x)=(\frac{1}{4})^x-5](https://tex.z-dn.net/?f=f%28x%29%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex-5)
For x=-4
![f(-4)=(\frac{1}{4})^{-4}-5=4^4-5=251](https://tex.z-dn.net/?f=f%28-4%29%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-4%7D-5%3D4%5E4-5%3D251)
For x=-3
![f(-3)=(\frac{1}{4})^{-3}-5=4^3-5=59](https://tex.z-dn.net/?f=f%28-3%29%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-3%7D-5%3D4%5E3-5%3D59)
Similarly for x=-2,-1,0 the value of f(x) are 11,-1,-4 respectively.
Answer:
cos Ф = 11/12
Step-by-step explanation:
Given that:
sinФ = ![\sqrt{23}/12](https://tex.z-dn.net/?f=%5Csqrt%7B23%7D%2F12)
Putting in Pythagoras theorem:
(
)^2 + cos^2 Ф = 1
23/144 + cos^2 Ф = 1
Subtracting 23/144 on both sides:
cos^2 Ф = 1 - 23/144
By taking LCM
cos^2 Ф = (144 - 23)/144
cos^2 Ф = 121/144
Taking square root on both sides we get:
cos Ф = 11/12
I hope it will help you!