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2 years ago

Pedro is solving the inequality below for r. 3r-15 < 45

Mathematics

1 answer:

nordsb [41]2 years ago

6 0

3r-15=45
Add 15 to both sides
3r=60
R=20

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3. Find the radius of a cylinder with a volume of 950 cm3<br>and a height of 10 cm.

Vinil7 [7]

Answer:

The radius of the cylinder is approximately 5.5 cm.

Step-by-step explanation:

Given,

Volume of the cylinder = $950\ cm^3$

Height of the cylinder = $10\ cm$

Solution,

Let the radius of the cylinder be r.

Now, according to the formula of volume of cylinder;

$volume = pi\times radius^2\times height$

On substituting the given values, we get;

$950=pi\times r^2\times 10\\950=3.14\times r^2\times10\\r^2=\frac{950}{3.14\times10}\approx30\\r=\sqrt{30}\approx5.5\ cm$

Thus the radius of the cylinder is approximately 5.5 cm.

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2 years ago

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Answer:

I think you just put them In order

Step-by-step explanation:

And find the medium

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2 years ago

1. Add or Subtract. Show your work

Sav [38]

QUESTION 1a.

We want to add

$( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)$

We group similar terms to get

$- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13$

Simplify:

$- 10{x}^{2} - 2x -12$

QUESTION 1b.

The given function is:

$(7x^2+4x-26)-(-7x^2-3x+15)$

Expand the parenthesis to obtain,

$7x^2+4x-26 + 7x^2 + 3x - 15$

Group similar terms,

$7x^2+7 {x}^{2} + 4x + 3x-26 - 15$

Simplify:

$14{x}^{2} + 7x-41$

QUESTION 2

The given function is

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The zeros of this function is given by;

$n^2-6n-16 = 0$

Split the middle term.

$n^2-8n + 2n-16 = 0$

Factor;

$n(n - 8) + 2(n - 8) = 0$

$(n - 8)(n + 2) = 0$

$n - 8 = 0 \: or \: n + 2 = 0$

$n = 8 \: or \: n = - 2$

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2 years ago

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Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

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2 years ago

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