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zysi [14]
3 years ago
11

A cylinder has a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the c

ylinder. Use the formula V=pir^2h for the volume of a cylinder.
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=4x+2\\
h=5x+4
\end{cases}\implies V=\pi (4x+2)^2(5x+4)
\\\\\\
V=\pi [(4x+2)(4x+2)](5x+4)\\\\\\ V=\pi \stackrel{FOIL}{(16x^2+16x+4)}(5x+4) \\\\\\
V=\pi[ (80x^3+80x^2+20x)+(64x^2+64x+16)]
\\\\\\
V=80\pi  x^3+144\pi  x^2+84\pi  x+16\pi
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Answer:

45 points

Step-by-step explanation:

You could do it with proportions. Start with 18/x=40/100. then, cross multiply and you should get x=45.

4 0
3 years ago
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The sum of two consecutive odd integers is 236 what is the smaller integer
poizon [28]
The correct answer is 117

x + y = 236
y = x + 2
x + x + 2 = 236
2x = 236 - 2
2x = 234
x = 234/2
x = 117

y = 117 + 2
y =119

Both are odd integers and 117 is smaller.
3 0
3 years ago
Find [h(x) +m(x)]-[h(x)-m(x)]<br> H(x)=1/3x3/3 3x2+9x-2<br> M(x)=13 3/5x+6x3-2x2-4x
Andre45 [30]

Answer:

\frac{276}{5}-8x)

Step-by-step explanation:

We are given with

H(x)=1/3x3/3 3x2+9x-2

And

M(x)=13 3/5x+6x3-2x2-4x

And asked to determine

[h(x) +m(x)]-[h(x)-m(x)]

Opening the second parenthesis

h(x) +m(x)-h(x)+m(x)

As we subtracted the second bracket, the sign get reversed.

As h(x) has opposite signs , they get cancelled

h(x) +m(x)-h(x)+m(x)

=2m(x)

=2(13\tfrac{3}/{5}x+6x3-2x2-4x)

=2(\frac{13 \times 5 + 3}{5}+18-4-4x)

=2(\frac{68}{5}+14-4x)

=2(\frac{68+70}{5}-4x)

=2(\frac{138}{5}-4x)

=\frac{276}{5}-8x)

7 0
3 years ago
In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?
vfiekz [6]

Answer:

85

Step-by-step explanation:

Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85

7 0
3 years ago
Jenny is making bags of trail mix for hiking club. She will use 21 ounces of walnuts, 10.1 ounces of almonds, and 14.4 ounces of
madam [21]

9514 1404 393

Answer:

  1.75 ounces

Step-by-step explanation:

The total weight of ingredients is ...

  21 + 10.1 + 14.4 = 45.5 . . . ounces

Divided evenly into 26 bags, each bag will hold ...

  (45.5 oz)/(26 bags) = 1.75 oz/bag

There are 1.75 ounces of mix in each bag.

6 0
3 years ago
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