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3 years ago

Baby anna wants to arrange 12 blocks in a row. how many different arrangements can she make

Mathematics

2 answers:

LenKa [72]3 years ago

4 0

You multiply 12 by 12. This will give you 144. Baby Anna can arrange them in 144 different arrangements.

Mrac [35]3 years ago

3 0

Baby anna wants to arrange 12 blocks in a row

12 blocks are arranged in a row having 12 places

---- , ---,---- , ---,---- , ---,---- , ---,---- , ---,---- , ---

12 blocks can be used in first place. 11 blocks can be used in second place.

10 blocks can be used in third place and so on

12, 11, 10, 9, 8, 7, 6, 5, 4 ,3, 2, 1

12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 can be written as 12!

12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 479,001,600

She can make 479,001,600 different arrangements.

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EXERC

eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh = 2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0

3 years ago

Please show how to check the answer . that's all I'm struggling with

Sloan [31]

Answer:

For Question 3, all you have to do is subtract 5 from both sides of the equation, then divide by -3, which will leave you with 5 as the answer.

-3x + 5 = -10

-3x = -15x

x = 5

4 0

3 years ago

Read 2 more answers

Rewrite the equation of each circle in Standard Form. Then graph.

chubhunter [2.5K]

Answer:

$(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2$

Step-by-step explanation:

The standard form for the equation of a circumference is:

$(x-a) ^ 2 + (y-b) ^ 2 = r ^ 2$

Where:

(a, b) is the center of the circumference

r is the radius

In this problem we have the equation of the following circumference, and we want to convert it to the standard form:

$x ^ 2 + y ^ 2 + 10x +21 = 0$

The first thing we must do to transform this equation into the standard form is to use the square completion technique.

The steps are shown below:

1. Group all the same variables:

$y ^ 2 + (x ^ 2 + 10x) = -21$

2. Take the coefficient that accompanies the variable x. In this case the coefficient is 10. Then, divide by 2 and the result elevate it to the square.

We have:

$\frac{10}{2} = 5\\\\(\frac{10}{2}) ^ 2 = 25$

3. Add on both sides of the equality the term obtained in the previous step:

$y ^ 2 + (x ^ 2 + 10x +25) = -21 +25\\\\y ^ 2 + (x ^ 2 + 10x +25) = 4$

4. Factor the resulting expression, and you will get:

$(x + 5) ^ 2 + y ^ 2 = 4$

Write the equation in the standard form:

$(x + 5) ^ 2 + (y-0) ^ 2 = 2 ^ 2$

Then, the center is the point (5, 0) and the radius is r = 2.

Observe the attached image

8 0

3 years ago

Read 2 more answers

Simplify;a-4a?<br> HELP ASAP...

Irina18 [472]

Your answer is
a-4a
= 1a-4a
= -3a

7 0

3 years ago

Hello need help with this question

Citrus2011 [14]

Answer:

Step-by-step explanation:

$\frac{x-2}{5} =y$

$f(\frac{x-2}{5} )$

$=5(\frac{x-2}{5})+2$

$f^{-1} (5x+2)$

$=(\frac{5x+2-2}{5})\\$

4 0

3 years ago