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kaheart [24]
3 years ago
11

The radius of the large sphere is double the radius of the

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

Given:

Radius of large sphere: R1

Volume of sphere: V1

Radius of small sphere: R2

Volume of sphere: V2

R1=2R2

We know that:

Volume of a sphere: 4/3πR^3

Volume of large sphere: 4/3πR1^3

Now we know that R1=2R2(given)

Thus volume of large sphere(V1) 32/3πR2^3.

Volume of small sphere(V2): 4/3πR2^3.

Ratio of volume of large sphere to small sphere is 8:1.

Step-by-step explanation:

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I manually graphed the equation

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if one card is drawn from a regular deck of cards, what is the probability the card will not be an ace?
satela [25.4K]

There are 52 cards in a deck of cards so that makes 52 your denominator. There are 4 aces in a deck of cards, so 52 - 4 = 48 making 48 your numerator. so the probability the card won't be an ace is 48 out of 52.

48/52 chance that the card will not be an ace.

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3 years ago
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Solve for x in the equation x squared + 4 x minus 4 = 8.
Goryan [66]

Step-by-step explanation:

x² + 4x − 4 = 8

x² + 4x − 12 = 0

(x + 6) (x − 2) = 0

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A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

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>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<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.
  • t represents the period.
  • 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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5 0
2 years ago
I will give brainliest answer
adell [148]

Answer: A=351.68 cm²

Step-by-step explanation:

To find the area of the shaded region, we would subtract the area of the circle by the area of the inner circle.

Area of Circle

A=\pi r^2

A=\pi (11)^2

A=121\pi

Area of inner (white) circle

A=\pi r^2

A=\pi (3)^2

A=9\pi

Now that we have the area to the circle and inner circle, we would subtract to find the area of the shaded region.

A=121\pi -9\pi

A=112\pi

A=351.68 cm^2

3 0
3 years ago
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