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Digiron [165]
3 years ago
12

HELPPPP!!!

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

  A = √29

Step-by-step explanation:

The short of it is that ...

  A² = 2² + 5² = 29

  A = √29

_____

<u>Amplitude</u>

If you expand the second form using the sum-of-angles formula, you get ...

  Asin(ωt +φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)

Comparing this to the first form, you find ...

  c₂ = 2 = Acos(φ)

  c₁ = 5 = Asin(φ)

The Pythagorean identity can be invoked to simplify the sum of squares:

  (Asin(φ))² + (Acos(φ))² = A²(sin(φ)² +cos(φ)²) = A²·1 = A²

In terms of c₁ and c₂, this is ...

  (c₁)² +(c₂)² = A²

  A = √((c₁)² +(c₂)²) . . . . . . . formula for amplitude

_____

<u>Phase Shift</u>

We know that tan(φ) = sin(φ)/cos(φ) = (Asin(φ))/(Acos(φ)) = 5/2, so ...

  φ = arctan(c₁/c₂) . . . . . . . formula for phase shift*

  φ = arctan(5/2) ≈ 1.19029 radians

___

* remember that c₁ is the coefficient of the cosine term, and c₂ is the coefficient of the sine term.

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Read 2 more answers
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the
IgorLugansk [536]
If 25% of the people <em>are</em> vaccinated, then 75% of the people are <em>not</em> vaccinated.  Of those not vaccinated, each has a 50% chance of contracting the disease.  The probability that someone is both not vaccinated and contracts the disease is (0.75)(0.5)=0.375.
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
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3 years ago
Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts 
Sergeeva-Olga [200]

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

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