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2 years ago

Given the arc length of a circle is 127π centimeters and the subtended angle is 60˚. Find the Circumference of the circle.

Mathematics

1 answer:

Mumz [18]2 years ago

4 0

The circumference of the circle is 762π cm.

<h3>What is length of arc of a circle?</h3>

The length of arc a circle can is determined with the radius and central angle of the arc.

The radius of the circle is calculated as follows;

$L = \pi r \times \frac{ \theta }{180} \\\\
\pi r \theta = 180 L\\\\
\pi r = \frac{180 L}{\theta}$

The circumference of the circle is calculated as follows;

$C = 2\pi r\\\\
C = 2(\pi r)\\\\
C = 2(\frac{180 \ L}{\theta } )\\\\
C = 2(\frac{180 \times 127\pi}{60 } )\\\\
C = 762 \pi \ cm$

Learn more about circumference of a circle here: brainly.com/question/9782777

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What is the solution of the equation 1.6m - 4.8 = -1.6m

Flauer [41]

Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer: m ≈ 1.5

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3 years ago

If measure 4 is 36 degrees what is the measure of angle 2

elena55 [62]

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7 0

3 years ago

Liza finished studying at half past 3. What time did Liza finish studying?

Lady_Fox [76]

3:30

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3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

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2 years ago

Round 487.010 to the nearest whole number. Enter your answer in the space<br> provided

saw5 [17]

Answer:

487

Step-by-step explanation:

The answer is 487 because you must look one place to the right of the whole number for the rounding digit on the right side of the decimal point which is 0. Then you round down since the digit is not greater than 5.

5 0

3 years ago