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Mnenie [13.5K]
2 years ago
9

Find the area of a circle if its circumference is 10 pi

Mathematics
1 answer:
AleksandrR [38]2 years ago
8 0

Answer:

25π

Step-by-step explanation:

pi's symbol is π, which will be used sometimes to make it easier later

The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)

We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.

Half of 10 is 5, the radius.

The formula for area of a circle is radius squared times pi, remember easily by π r ^2

We can plug in the radius into the formula to get

π 5 ^2

And finish it by solving the square root to get

π 25

25π

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Gavin goes for a run at a constant pace of 9 minutes per mile. Ten minutes later, Lars goes for a run, along the same route, at
sweet [91]

Answer:  The answer is 35 minutes.


Step-by-step explanation:  Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.

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In 7 minutes, distance run by Lars = 1 mile.

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d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.

Now, difference between Lars and Gavin's rate of runnings is

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Therefore, the time taken by Lars to reach Gavin is given by

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Step-by-step explanation:

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G. Write the equation of the line in slope-intercept form.
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Answer:

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Step-by-step explanation:

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(3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2

2.

(-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5

6 0
3 years ago
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