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3 years ago

A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

Mathematics

2 answers:

aalyn [17]3 years ago

5 0

The answer would be 1.6pi

notsponge [240]3 years ago

3 0

Answer: $1.6\pi$

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply $\frac{48}{360} * 12\pi$ to get 5.024 or 1.6pi.

Hope it helps <3

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Calculate the percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt h

Crazy boy [7]

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

<h3>What is percentage change?</h3>

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

Learn more about percentage change here:

brainly.com/question/14656289

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2 years ago

Circles M and K are congruent, QR is congrent to LN. Find the length of QR

Novosadov [1.4K]

Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.

So, QR = LN

Hence, we can set up an equation as following:

4x + 2 = x + 7

4x + 2 - x = x + 7 - x Subtract x from each sides.

3x + 2 = 7 By simplifying.

3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.

3x = 5

$\frac{3x}{3} =\frac{5}{3}$ Divide each sides by 3 to isolate x.

So, $x=\frac{5}{3}$

Next step is to plug in $x=\frac{5}{3}$ in QR = 4x+2 to get length of QR.

So, $QR = 4(\frac{5}{3})+2$

$=(\frac{20}{3})+\frac{2}{1}$ Since 2 can be written as 2/1.

By multiplying the second fraction by the common denominator 3.

$=(\frac{20}{3})+\frac{2*3}{1*3}$

$=(\frac{20}{3})+\frac{6}{3}$ By simplifying the second fraction.

$=(\frac{26}{3})$

So, $QR=\frac{26}{3}$

5 0

3 years ago

Draw a model of square root of 12 using perfect squares

Shkiper50 [21]

Answer:

The answer is " $\sqrt{12}$ is not a perfect square".

Step-by-step explanation:

12 is not a perfect square because it is the natural number, and no other natural number would square the number 12, that's why it is not a perfect square.

If we calculate the square root of $\sqrt{12}$ . so, it is will give $2\sqrt{3}$ that is not a perfect square root which can be described as follows:

$\Rightarrow \sqrt{12}= \sqrt{2\times 2\times 3}$

$= \sqrt{2^2\times 3}\\\\= 2\sqrt{3}\\\\$

$\bold{\sqrt{12}}$ is not a perfect square root.

7 0

3 years ago

Read 2 more answers

Help me with math please, really urgent!

Alenkasestr [34]

X2 is on the right side, X1 is on the left side so -14 would be X1 and 2 would be x2

so it would be the first answer

7 0

3 years ago

Select the best answer for the question

JulijaS [17]

The answer is A. To add fractions, the denominator has to be the same. What number do 9 and 3 share when multiplying ? It is 9.

So multiply 2/3 by 3/3 to get 6/9. And 1/9 by 1/1 to get 1/9. Now add 6/9 with 1/9 which is 7/9

Now add 7/9 with 5/18. 9 and 18 share 18. Multiply 7/9 by 2/2 which is 14/9. Add 14/9 to 5/18 which is 19/18

4 0

3 years ago