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: Slope=-2/3
Step-by-step explanation:
Answer:
angle c = 107°
angle b = 107°
angle a = 73°
Step-by-step explanation:
Given:
Two line XY and WZ intersect each other and make four angle [a, b, c, d]
Given that Angle d = 73°
Find:
angle a
angle b
angle c
Computation:
We know that angle c and angle d situated on same line XY
So,
angle c + angle d = 180°
angle c + 73° = 180°
angle c = 107°
We know that angle b and angle d situated on same line WZ
So,
angle b + angle d = 180°
angle b + 73° = 180°
angle b = 107°
angle a and angle d are vertical opposite angle
So,
angle a = angle d
angle a = 73°
Answer:
The length of the edge of the cube = 4 inches
Step-by-step explanation:
* Lets describe the cube
- It has 6 faces all of them are squares
- It has 8 vertices
- It has 12 equal edges
∵ The volume of any formal solid = area of the base × height
∵ The base of the cube is a square
∴ Area base = L × L = L² ⇒ L is the length of the edge of it
∵ All edges are equal in length
∴ Its height = L
∴ The volume of the cube = L² × L = L³
* Now we have the volume and we want to find the
length of the edges
∵ Its volume = 64 inches³
∴ 64 = L³
* Take cube root to the both sides
∴ ∛64 = ∛(L³)
∴ L = 4 inches
* The length of the edge of the cube = 4 inches
Answer: Miles earns 199.50$ in two days.
Step-by-step explanation: Since it says the hourly rate is 13.30$ and it says that he worked 7 hours on Friday you can write 7 x 13.30 = 93.1 After that now it says he worked 4 hours on Saturday and it says that on the weekends the hourly rate is doubled so you would write it as 4 (2 x 13.30) = 106.4 And so after all that add all the products so 93.1 + 106.4 = 199.50 $ that’s the answer it’s 199.50 $
