The exact solution of <span>tan 11π/6</span><span> is as follows:
First change the angle into degrees.
11(</span>π/6) (180°/π) = 330°
Then we calculate the tangent of the angle above and it as follows:
tan 330° = (√3)/2
Hope this answers the question. Have a nice day.
-2x=4x+9 |-4x
-6x=9 |:(-6)
x=-1,5
Check:
-2*-1,5=4*-1,5+9
3=-6+9
3=3
Set up a proportional relationship:
xf/1n=(f/5)/(n/3)
xf/1n=3f/(5n) multiply both sides by 1n
xf=3f/5 so
x=3/5
Dave must mix in 3/5 of a cup of fruit with a single cup of nuts.
You could of also just noted that you need to multiply 1/5 times 3 because 1/5 mixes with just 1/3 of a cup of nuts...
Answer: C
Step-by-step explanation:
ANSWER
The smaller angle is
![y = 36 \degree](https://tex.z-dn.net/?f=y%20%3D%2036%20%5Cdegree)
.EXPLANATION
Let the angles be
![x \: and \: \: y](https://tex.z-dn.net/?f=x%20%5C%3A%20%20and%20%5C%3A%20%20%5C%3A%20y)
where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,
![x + y = 180 \degree...(1)](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%20180%20%5Cdegree...%281%29)
If one angle is 4 times the other, we can then write the following equation,
![x = 4y...(2)](https://tex.z-dn.net/?f=x%20%3D%204y...%282%29)
We put equation (2) into equation (1) to get,
![4y + y = 180 \degree](https://tex.z-dn.net/?f=4y%20%2B%20y%20%3D%20180%20%5Cdegree)
![5y = 180 \degree](https://tex.z-dn.net/?f=5y%20%3D%20180%20%5Cdegree)
We divide through by 5 to obtain,
![y = 36 \degree](https://tex.z-dn.net/?f=y%20%3D%2036%20%5Cdegree)
This implies that,
![x = 4(36)](https://tex.z-dn.net/?f=x%20%3D%204%2836%29)