Answer:
24
Explanation:
V = whl (width times height times length)
V = (2)(3)(4)
V = (6)(4)
V = 24
The terminal point determined by an angle is given by the point on the circumference of the unit circle such that the angle between the radius of the circle and the x-axis is the given angle.
Given the angle
![t= \frac{20\pi}{3}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B20%5Cpi%7D%7B3%7D%20)
This angle is equivalent to the angle
![t= \frac{2\pi}{3}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
To find the terminal point, we note that the radius of the unit circle at that point makes a right angle with the coordinates of the terminal point.
We also note that angle
![t= \frac{2\pi}{3}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
is on the 2nd quadrant of the coordinate axis. This means that the x-value of the terminal point is negative while the y-value is positive.
We also note that the radius of a unit circle is 1.
To find the x-coordinate of the terminal point, we use the relation
![-\cos\left(\pi- \frac{2\pi}{3} \right)= \frac{x}{1} \\ \\ -\cos\left( \frac{\pi}{3} \right)=x \\ \\ x= -\frac{1}{2}](https://tex.z-dn.net/?f=-%5Ccos%5Cleft%28%5Cpi-%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Cright%29%3D%20%5Cfrac%7Bx%7D%7B1%7D%20%20%5C%5C%20%20%5C%5C%20-%5Ccos%5Cleft%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%5Cright%29%3Dx%20%5C%5C%20%20%5C%5C%20x%3D%20-%5Cfrac%7B1%7D%7B2%7D%20)
Similarly to find the y-coordinate of the terminal point, we use the relation
![\sin\left(\pi- \frac{2\pi}{3} \right)= \frac{y}{1} \\ \\ \sin\left( \frac{\pi}{3} \right)=y \\ \\ y= \frac{ \sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Csin%5Cleft%28%5Cpi-%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Cright%29%3D%20%5Cfrac%7By%7D%7B1%7D%20%5C%5C%20%5C%5C%20%5Csin%5Cleft%28%20%5Cfrac%7B%5Cpi%7D%7B3%7D%20%5Cright%29%3Dy%20%5C%5C%20%5C%5C%20y%3D%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D)
Therefore, the <span>coordinates of the terminal point determined by T = 20 pi /3 are
![\left(- \frac{1}{2} , \, \frac{ \sqrt{3} }{2} \right)](https://tex.z-dn.net/?f=%5Cleft%28-%20%5Cfrac%7B1%7D%7B2%7D%20%2C%20%5C%2C%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5Cright%29)
</span>
Answer: Yes, the answer 32 is correct.
Explanation: Since, According to the mid point theorem, the line segment connecting the midpoints of the two sides of a triangle is parallel to the third side and is half of the third side of triangle.
Here, FD is the line segment connecting to the midpoints F and D and it is parallel and half of the third side AC.
Thus, FD=AC/2⇒ AC=2FD
But, according to the question, FD=16 so, AC=2×16=32
Thus, AC=32 unit will be the answer.
The 1st one is 8 because a coin has 2 sides and you have 4 colors whats 2*4=?
Answer:
21
Step-by-step explanation: