About 20mins
2/3 of an hour is 40min
2/3 of 0.5(30min) = 20(I'm not too sure)
By the equations according to the <em>cylindrical</em> system of coordinates, the equation for a helix are x = 8 · cos (2π · t /T), y = 8 · sin (2π · t /T) and z = 6 · (t/T).
<h3>How to derive the equations of a helix in cylindrical form</h3>
According to the <em>cylindrical</em> system of coordinates, helix can be described by the following equations:
Radius
x = r · cos (2π · t /T) (1)
y = r · sin (2π · t /T) (2)
Height
z = H · (t/T) (3)
Where T is the period of one <em>complete</em> revolution.
If we know that r = 8 and H = 6, then the equations for the helix is:
x = 8 · cos (2π · t /T)
y = 8 · sin (2π · t /T)
z = 6 · (t/T)
How to learn more on helices: brainly.com/question/16911869
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10.
( 3 x 3 x 3 ) (3) (5) = 405
and i can't read 11 sorry ):
The probability that Sarah takes one piece of each fruit is; (10x - x²)/100
<h3>
Probability</h3>
We are given;
- Number of fruits in the bowl = 10
Thus, remaining fruits are;
- Number of apples = 10 - x
Probability that at least one will be banana = x/10
Probability that at least one will be apple = (10 - x)/10
Thus;
Probability that she takes one piece of each fruit is;
x/10 × (10 - x)/10
⇒ x(10 - x)/100
⇒ (10x - x²)/100
Read more about probability at; brainly.com/question/251701
