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3 years ago

How will the circumference of the circle change if it is dilated by a scale factor of 4?

Mathematics

2 answers:

Stolb23 [73]3 years ago

5 0

The circumference of a circle has the formula:

C = 2 π r

Now when it is dilated by a factor of 4, this only means that the radius is also multiplied by a factor of 4, therefore the new circumference is:

C’ = 2 π (4 r)

C’ = 8 π r

So it also grows 4 times.

Answer:

The circumference will be 4 times greater than the original.

OlgaM077 [116]3 years ago

3 0

Answer:

Step-by-step explanation:

Just took the test

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In which number does the digit 4 have a value that is \dfrac{1}{10} 10 1 start fraction, 1, divided by, 10, end fraction times

MrRissso [65]

Answer:

The digit 4 should be in the thousand position in the number sought;

Examples

9.304,

9.004

Step-by-step explanation:

Here, we are required to consider decimal places of numbers

The digit 4 in the number 3.8463 is in the hundredth position

That is 0.04

We are asked to look for the number with a digit 4 that has the same value as $\frac{1}{10} \times$ the digit 4 in 3.8463

That is

$\frac{1}{10} \times 0.04 = 0.004$

Therefore, the digit 4 in the number sought should be in the thousandth position, that is 0.004

Example includes 9.304 or 9.004.

4 0

3 years ago

A transformer increases the input voltage from 12V to 12,000V. What is the ratio of the number of wire turns on the primary coil

erma4kov [3.2K]

Answer:

$\frac{n_p}{n_s}=\frac{1}{1000}$

Step-by-step explanation:

Given voltage of primary coil is $V_p=12V$

And voltage of secondary coil is $V_s=12,000V$

A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil $(n_p)$ and secondary coil $(n_s)$ .

Following equation represents the relation between them.

$\frac{V_s}{V_p} =\frac{n_s}{n_p}\\\\\frac{12,000}{12}=\frac{n_s}{n_p}\\\\1000=\frac{n_s}{n_p}$

Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is

$\frac{n_p}{n_s}=\frac{1}{1000}$

5 0

4 years ago

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

____ [38]

Answer:

24x

6x + x - 2

Step-by-step explanation:

You combining the 4 sides of the square

6x + 6x + 6x + 6x

Same with the triangle

3 0

3 years ago

Find for x 1/5x + 1/3= 3(2/3x -2)

topjm [15]

Answer:

The value of x for the given expression is (95/27)

Step-by-step explanation:

Here, the given expression is:

$\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x -2)$

Now here solving for the value of x , we get

$\frac{1}{5} x + \frac{1}{3} = 3(\frac{2}{3}x) -6\\\implies\frac{1}{5} x + \frac{1}{3} = 2x -6$

Now, taking the variable terms on 1 side, we get

$\frac{1}{5} x - 2x = -6 - \frac{1}{3} \\\implies\frac{x - 10x}{5} = -(\frac{6(3) +1}{3} )$

or, $\frac{-9x}{5} = -\frac{19}{3} \implies x = \frac{19}{3} \times\frac{5}{9} = \frac{95}{27}$

Hence, the value of x = (95/27)

6 0

4 years ago

I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it

Vesna [10]

Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

8 0

3 years ago