The current, I, in amperes, of an electric circuit, is given by the function I(t) 5 4.5 sin (120 pi)t, where t is the time in seconds. a) Draw a graph that shows one cycle.
b) What is the singular period?
c) At what value of t is the current a maximum
in the first cycle?
d) When is the current a minimum in
the first cycle?

c

step-by-step explanation:

at least i think its

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step-by-step explanation:

the answer is simply just 6n add the two together as they have an n

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240