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3 years ago

How to simplify the product2n(n^2+3n+4)

Mathematics

1 answer:

miss Akunina [59]3 years ago

3 0

$2n(n^2+3n+4)\\\\=(2n)(n^2)+(2n)(3n)+(2n)(4)\\\\=\boxed{2n^3+6n^2+8n}$

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A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)= $22\frac{1}{4}ft=\dfrac{89}{4}ft$

and a diameter is $2\frac{2}{5}$ times it's height.

i.e. $\dfrac{12}{5}$ times it height.

i.e. the diameter is given as:

$\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.$

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

$\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}$

The volume(V) of cylinder is given by:

$V=\pi r^2h$

$V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3$

Hence, the volume of cylinder is:

49806.06 ft^3

7 0

3 years ago

Please help brainlist. <3

sertanlavr [38]

Answer:The graph line has to go through the origin in order for it to be proportional .In a proportional relationship, one variable is always a constant value. Only have 2

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2 years ago

If two radii form a 30 degree angle at the center of a circle with a radius 10 cm. What is the area between them?

serious [3.7K]

Answer:

5.23

Step-by-step explanation:

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2 years ago

pochemuha

Answer:

Step-by-step explanation:

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2 years ago

How do you solve this using special right triangle this is geometry

svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11.1

Discussion:

cos(42) = x / 15 => multiply both sides by 15

x = 15 * cos(42) => as cos(42) = .743 approx

x = 15 * (.743)

x = 11.15

Thank you,

MrB

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2 years ago