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Simora [160]
3 years ago
9

No links need help ASAP

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0

Answer:

≈10502.7

Step-by-step explanation:

Serga [27]3 years ago
8 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

160π cubic units.

»»————- ★ ————-««  

Here’s why:

The formula for volume of a cylinder is:

V=\pi r^2h

\boxed\text{Key:}\\\\\boxed{\text{Key:}}\\\\\text{R - Radius}\\\\\text{H - Height}

⸻⸻⸻⸻

We are given:

  • The height of 10 units.
  • The radius of 4 units.

⸻⸻⸻⸻

We will replace the 'r' with '4' and we will replace the 'h' with '10'.

⸻⸻⸻⸻

There are two ways to express the answer, either an exact answer in terms of pi or an approximation using 3.14 for pi.

For this answer, I will use the exact terms.

⸻⸻⸻⸻

\boxed{\text{Finding the Volume of the Cylinder:}}\\\\V=\pi 4^210\\\\-------\\\rightarrow V=4^2*10*\pi \\\\\rightarrow V=16*10*\pi\\\\\boxed{V=160\pi}

The answer should be \boxed{160\pi\text{ units} ^3.}

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Read 2 more answers
Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

8 0
3 years ago
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