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Ugo [173]
3 years ago
6

Divide f(x) by d(x), and write a summary statement in the form indicated.

Mathematics
1 answer:
lukranit [14]3 years ago
3 0
( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 )   =  x² - 4 x + 1
- x^4             - x²
------------------------
          - 4 x³ + x² - 4 x
            4 x³        + 4 x
         -----------------------
                      x²  + 1
                   - x²   - 1
                ----------------
                   R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) =  ( x² + 1 ) ( x² - 4 x + 1 )
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Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
£2500 is invested at 3.6% compound interest per annum.
kirill115 [55]

Answer:

its going to be 20 years

Step-by-step explanation:

1.036

4 0
3 years ago
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Anna [14]

r = 1/15

a branliest from the answer will be appreciated

8 0
3 years ago
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5 0
3 years ago
What is the length of RS.
Natali [406]

Consider, in ΔRPQ,

RP = R (Radius of larger circle)

PQ = r (radius of smaller circle)

We have to find, RQ, by Pythagoras theorem,

RP² = PQ²+RQ²

R² = r²+RQ²

RQ² = R²-r²

RQ = √(R²-r²

Now, as RQ & QS both are tangents of the smaller circle, their lengths must be equal. so, RS = 2 × RQ

RS = 2√(R²-r²)

5 0
3 years ago
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