Answer:
cos210=cos(180+30)=−cos30=−√32 . sin210=sin(180+30)=−sin30=−12 . 3(cos210+isin210) =3(−√32)+3i(−12). −(32)√3−(32)i. My favourite way of seeing that sin30=12 and cos30=√32 is ...
Step-by-step explanation:
But that's what I say personally
Answer:
3,600−−−−−√ is a rational number.I guess
Final Answer: 
Steps/Reasons/Explanation:
Question: What is the solution to the linear equation 
?
<u>Step 1</u>: Simplify 
to 
.
<u>Step 2</u>: Cancel 
on both sides.
<u>Step 3</u>: Subtract 
from both sides.
<u>Step 4</u>: Simplify 
to 
.
<u>Step 5</u>: Divide both sides by 
.
~I hope I helped you :)~
This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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