Answer:
θ = π n + π/2 for n element Z
Step-by-step explanation:
Solve for θ:
1 + 2 cos(2 θ) + cos^2(2 θ) = 0
Write the left hand side as a square:
(cos(2 θ) + 1)^2 = 0
Take the square root of both sides:
cos(2 θ) + 1 = 0
Subtract 1 from both sides:
cos(2 θ) = -1
Take the inverse cosine of both sides:
2 θ = 2 π n + π for n element Z
Divide both sides by 2:
Answer: θ = π n + π/2 for n element Z
Answer:
I THINK a=3 b=9
Step-by-step explanation:
4.25+1.25*m, 5.75+0.75*m
4.25+5.75=10 and 1.25+0.75 = 2 therefore the two expressions are 2m+10
0.5m-1.5 : 4.25+1.25+m-5.75+0.75*m =0.5m-1.5 ( I'm quite sure about this one but I can't think of another answer but this )
Answer:
The unit rate is accurately
(km/minute)
Step-by-step explanation:
(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.
The unit rate for this problem is also known as the speed of the vehicle.
So to find the speed, you need to use distance over time.
---> Unit rate:
/ 1 =
(km/minute)
(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.
Same process:
---> Unit rate:
/ 2 =
Because of this, the unit rate is accurately
(km/minute)
Answer
10
Step-by-step explanation:
salamander:frog
6:7
start by setting up the ratios as fractions and using <em>x</em> as the variable.
=
next cross multiply.
6x=63
x=10 i believe