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1 year ago

11. A city engineer determines that 5,500 cubic meters of

Mathematics

1 answer:

PolarNik [594]1 year ago

3 0

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:

V = (1/3)πr²h

Where h is the height, and r is the radius

Given that h = 35 m, the radius using Pythagoras theorem:

37² = r² + 35²

r = 12

V = (1/3)π(12)² * 35 = 5280 m³

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

Find out more on Volume at: brainly.com/question/1972490

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The graph of the function y = f(x + 26) can be obtained from the graph of

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Answer:

left 26 units

Step-by-step explanation:

inside the parentheses means left or right, and it also means opposite direction.

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3 years ago

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What is bigger:<br> 7/8<br> Or 3/4?

Aleks04 [339]

Answer:

7/8

Step-by-step explanation:

to compare them we need a common denominator

multiply 3/4 by 2/2 to get 6/8

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7 > 6

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2 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

Find the radius...<br><br> Help plz

Vladimir [108]

It is 20 for the radius

6 0

3 years ago

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Alona [7]

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

8 0

2 years ago