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
First put them in order: 12, 12.2, 12.3, 12.6, 12.8, 12.8, 13.5, 13.9, 14, 14.2. The minimum (the lowest) is 12. The median (the middle number) is 12.8. The third quartlile is approximately 13.9. The first quartile is 12.25. He lied about the first quartile :)
1,295.01 is 1,295.014 rounded to the nearest hundredth. The tenths place is where the 0 is after the decimal point, the hundredths place is the 1 after the decimal point, and the thousandths place is the 4 after the decimal place.
Answer: 17.6x +30.9
Step-by-step explanation:
the constant is 30.9
1) you distribute the 2 to 8.8. and 17.6
2) then you combine like terms
Answer:
you are correct
Step-by-step explanation:
5 - 2(x + 2)
Since parenthesis comes first in PEMDAS, distribute 2
5 - 2x - 4 = 1 - 2x
