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kirza4 [7]
3 years ago
10

Ashirt button has a diameter of 0.61 cm. Which of these is an approximate measurement of the circumference of the button?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

1.92cm

Step-by-step explanation:

Circumference of a circle is computed using the formula:

C=2\pi r

Where:

r = radius

π = 3.14

Since the radius is the distance of the center of the circle from any point of the circle and the diameter is the measure of a straight line that goes across the center of the circle from one side to the other, radius is half of a diameter. So the diameter = 2r.

We can then use the diameter to solve for the circumference by using the formula"

C = \pi d

So we just plug in what we know in the formula:

C = \pi d\\\\C = (3.14)(0.61cm)\\\\C = 1.9154cm\cong1.92cm

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2 years ago
Someone please Solve 3 (x - 1) = 6. Thank you
kramer
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.

It is used like this: a(b + c) = ab + ac.

Use the distributive property on the left-hand side.

3(x - 1) = 6
3x - 3 = 6

Now we have an equation that is easier.

The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.

3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
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x = 3 <--- The inverse of multiplication is division.
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3 years ago
The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to
Firdavs [7]

Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:

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<em>y</em> = <em>x</em> - 1  ==>  <em>x</em> = 1 + <em>y</em>

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The integral with respect to <em>x</em> is trivial:

\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy

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\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}

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3 years ago
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Answer:

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