Answer:
9.02 x 10^6
Step-by-step explanation:
hope this helps!
Cos²(x) + sin²(x)
¹/₂[1 - cos(2x)] + ¹/₂[1 + cos(2x)]
[¹/₂ - ¹/₂cos(2x)] + [¹/₂ + ¹/₂cos(2x)]
¹/₂ + ¹/₂ - ¹/₂cos(2x) + ¹/₂cos(2x)
1
Answer:
1. x + y = 180
2. x = 50 y= 130
Step-by-step explanation:
They're parallel.
We can label the unamed angle z.
So z = y
and 50 = x
There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.
x=50
so 50 + 50 = 100.
360 - 100 = 260
so 260 ÷ 2 = 130
y = 130 because y and z are equal so they're the same number
Answer:
10 minutes
Step-by-step explanation:
To solve this , we need to first calculate the volume of the rectangular prism. Let’s say this is V.
Mathematically, V = w h l where w, h and l are width , height and length respectively.
V = 20 * 18 * 10 = 3600 in^3
Now to get the number of minutes, we divide the volume by the draining rate.
That would be 3600/360 = 10 minutes
Substitute 6 - 2x for y in the first equation
3x - (6 - 2x) = 4
5x - 6 = 4
5x = 10
x = 2
Plug 5 for x in either equations (I'll use the second equation)
y = 6 - 2 * 2
y = 6 - 4
y = 2
(2,2) is the solution.