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aleksklad [387]
3 years ago
13

What is the volume of the cylinder below

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

Option A, 80π

Step-by-step explanation:

4²×5π

= 80π

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How can you write the expression with rationalized denominator? sqrt3 - sqrt6 / sqrt 3 + sqrt 6
harina [27]
Answer:  2√2 - 3

Explanation:


The expession written properly is:

\frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}+ \sqrt{6} }

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.

That is, you have to multiply both numerator and denominator times the conjugate of the denominator.

The conjugate of √3+√6 is √3 - √6, so let's do it:

\frac{ \sqrt{3} - \sqrt{6} }{ \sqrt{3} + \sqrt{6} } . \frac{ \sqrt{3}- \sqrt{6}  }{ \sqrt{3}- \sqrt{6} }

To help you with the solution of that expression, I will show each part.

1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =

= 3 - 2√18 + 6 = 9 - 6√2.

2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3

3) Then the resulting expression is:

 9 - 6√2
-----------
 -3

Which can be further simplified, dividing by - 3

    -3 + 2√2

Answer: 2√2 - 3

7 0
3 years ago
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Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.
bearhunter [10]

Answer:F

Step-by-step explanation:

6 0
3 years ago
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Solve x^2 - 4 = 77.
Gennadij [26K]

Answer:

X = 9 or x = -9

Step-by-step explanation:

We want to solve the quadratic equation

{x}^{2}  - 4 = 77

We shall use the square root method

Let us add 4 to both sides to get:

{x}^{2}  - 4 + 4 = 77 + 4

{x}^{2}  = 81

We take square to get:

x =  \pm \sqrt{81}

x =  \pm9

The solution is x=9 or -9

5 0
3 years ago
Square ABCD has side length a. Half circles with
Inga [223]

The area of the shaded region is 0.215a^2

<h2>Area of composite objects</h2>

The area of the shaded region is expressed according to the formula:

  • A = A_s - A_c

Get the area of the square As

As = a²

A_c = \pi (0.5a)^2\\&#10;A_c = 0.785a^2

Take the difference in the areas

Area of the shaded part = a^2-0.785a^2\\&#10;

Area of the shaded part = 0.215a^2

Hence the area of the shaded region is 0.215a^2

Learn more on area of composite objects here: brainly.com/question/22716761

7 0
3 years ago
Translating Algebraic Expressions<br><br> 12 times a x plus 4?
AlexFokin [52]

Answer:

12x+4=0

Step-by-step explanation:

just translate what is written and don't forget to write (=0)

5 0
2 years ago
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