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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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Chisaka has less than 145kg of food remaining in her spaceship. She needs a constant amount of food each day that she spacewalks
Veseljchak [2.6K]
If Chisaka does not space walks, the days she spend spacewalking are equal to zero. Since <span>S represents the number of days Chisaka spacewalks, we just need to replace </span>S=0 in our inequality to find how long her food will last if she does not spacewalks:
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From this calculation we can infer that the coefficient of N, 1.3, is the amount of food she needs per day if she doesn't spacewalks. Similarly the coefficient of S, 2.2, is the amount of food she need per day if she spacewalks.

We can conclude that Chisaka will need 1.3 kg of food if she doesn't spacewalks, and 2.2 kg of food if she spacewalks.
7 0
3 years ago
Malcolm is driving 1, 273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first day and 384 miles
zhuklara [117]

Answer:

Step-by-step explanation:

418 to the nearest ten is 420

384 to the nearest ten is 380

1273 to the nearest ten is 1270

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7 0
3 years ago
3 decagrams = centgrams
notsponge [240]

Answer:

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Step-by-step explanation:

Just multiply every decagram by 1,000

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The diameter of the base of a cone measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms
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Answer:

V = 32 pi

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is d/2 = 8/2 = 4

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V = 32 pi

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Standard form:
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scientific notation:
7.220032×10^6
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