Answer:
Answers Below
Step-by-step explanation:
Part A:
r=d/t
Part B:
r=665280/3
r=221760
Part C:
221760/5280 = 42mph
Part D: Miles per Hour, because it is easier to understand
Answer:
x=1.5
Step-by-step explanation:
Tangent Θ = opposite / adjacent
AB = short leg = opposite = 12
AC = long leg = adjacent = 5
BC = hypotenuse = 13
tangent Θ = 12/5 ⇒⇒⇒ this is in ratio form
tanΘ = 2.4 ⇒⇒⇒ this is in decimal form
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
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Answer:
475
Step-by-step explanation:
Is means equals. We need to change 8% to a decimal. 8% = .08. Of means multiply. X is the unknown number.
38 = .08 * x
Divide each side by .08
38/.08 = .08x /.08
475 = x
The unknown number is 475