Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Answer:
The answer in decimal form is 33.6.
The answer in fraction form is
.
Step-by-step explanation:
To find 40% of 84, multiply 84 and 0.4.
84 × 0.4 = 33.6
The answer in decimal form is 33.6.
The answer in fraction form is
.
Hope this helps!
Answer:
1,282.2 m³
Step-by-step explanation:
We'll use the formula 1/3*(B*h)
First, you have to find the area of the base
formula: πr²
radius: 7
7*7= 49
49*3.14=153.86
Now, multiply 153.86 by 25 (the height)
153.86*25= 3,846.5
Lastly, divide 3,846.5 by 3 and get 1,282.2 rounded
are you asking how many values of x there are? if so, i'm pretty sure the answer is 3.
Answer:
3x-13 I believe
Step-by-step explanation:
You multiply the 3 to the x and the 5. This would equal 3x-15+2
You would then add the -15 and the 2. This would be the answer 3x-13
Sorry if it is wrong