3 years ago

What does the double bracket mean in this equation: f(x)=[[x]]

1 answer:

4 0

[[x]] means that the integer should be rounded down to the greatest integer that is of the same value as x or is lower than x.

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

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3 years ago

Which additional word or words in the sentence should be capitalized?

Montano1993 [528]

A, C, and D. Hope this helps!

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3 years ago

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7x + 8 + 3x2 - 5x + 9<br> Can someone show me how I would solve this equation? (Step by step please)

raketka [301]

Answer:

3 x^2 + 2 x + 17

Step-by-step explanation:

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The khans car averages 22 miles per gallon of gas predict how far can thay travel on 5 gallons of gas

kodGreya [7K]

If the Khans car runs 22 miles per one gallon, then on 5 gallons of gas they can drive 110 miles.

1 gallon = 22 miles

5g x 22m = 110

I hope this helps! If I did something wrong, please correct me!

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3 years ago

Simplify 3ab + 4ab + 5

Anettt [7]

<span>Simplify 3ab + 4ab + 5
= 7ab + 5 (combine like terms)

hope it helps</span>

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