Angle W:
180 = 90 + 57 + W
180 = 147 + W
W = 33 degrees
Using trigonometry functions to find the side lengths. (SOH CAH TOA)
Side XZ:
cos(57) = XZ / 18
XZ = cos(57) x 18
XZ = 9.8 units
Side XW:
sin(57) = XW / 18
XW = sin(57) x 18
XW = 15.1 units
Hope this helps!! :)
Answer:
D) 
, 
Step-by-step explanation:
The blue boundary line has a y-intercept of 2 and a slope of 2.
It has equation : 
Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is
The blue boundary line passes through the origin and has slope 
.
Its equation is 
Since the boundary line is not solid and the right half-plane is shaded, its inequality is
The correct choice is D.
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
Answer:
3
Step-by-step explanation:
2x^9 = 1
3x^6 = 2
- x - 20 = 3
Answer:
The only solution I see is for x=0
Step-by-step explanation:
y=8x+2
y=-8x+2
y=y so substitute:
8X+2=-8X+2
Subtract 2 from each side
8X=-8X
divide each side by 8
x=-x
The only solution I see is for x=0
